Algebra: Equations Word Problems

This page is for algebra students who need help, and for teachers and tutors who are looking for practice word problems on equations.

Algebra

Equations in algebra.

Pre-Calculus

Equations in pre-calculus.

Pre-Algebra

Equations in pre-algebra.

Advanced Algebra

Equations in advanced algebra.

Algebraic Equations

Algebraic Equations in algebra.

First Degree Linear Equations

First Degree Linear Equations in algebra.

Fractional Equations

Fractional Equations in algebra.

Polynomial Equations

Polynomial Equations in algebra.

Quadratic Equations

Quadratic Equations in algebra.

Linear Equations

Linear Equations in algebra.

Solving Equations

Solving Equations in algebra.

Absolute Value Equations

Absolute Value Equations in algebra.

Addition Equations

Addition Equations in algebra.

Subtraction Equations

Subtraction Equations in algebra.

Multiplication Equations

Multiplication Equations in algebra.

Division Equations

Division Equations in algebra.

Multi-Step Equations

Multi-Step Equations in algebra.

Radical Equations

Radical Equations in algebra.

Circle Equation

Circle Equation in algebra.

Logarithmic Equations

Logarithmic Equations in algebra.

Systems Of Equations

Systems Of Equations in algebra.

Line Equations

Line Equations in algebra.

Rate Equations

Rate Equations in algebra.

Literal Equations

Literal Equations in algebra.

Rational Equations

Rational Equations in algebra.

Graphing Equations

Graphing Equations in algebra.

Parametric Equations

Parametric Equations in algebra.

Factoring Equations

Factoring Equations in algebra.

Trigonometric Equations

Trigonometric Equations in algebra.

Differential Equations

Differential Equations in algebra.

Algebra: Equations Word Problems

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Algebra: Equations WordProblems

Erica hiked up a mountain trial
Erica hiked up a mountain trial at 3km/h and returned at 4k/h. The entire trip took five hours 10 min including the half an hour she spent at the ...
A circle with radius 5
A circle with radius 5 has its center at (4,1). the line x-2y+4=0 intersects the circle. find the intersections
Simone has 16 player on her soccer team
Simone has 16 player on her soccer team. There are 6 more boys than ...
Crane A can unload the container ship
Crane A can unload the container ship in 10 hours, and crane B can unload it in 14 hours. Crane A started to unload the ship at noon and was joined by crane B at 2 P....
Sally can paint a house in 4 hours
Sally can paint a house in 4 hours. John can paint the same house in 6 ...
A bike shop rents mountain bikes
A bike shop rents mountain bikes for a $8.50 insurance charge plus $3.50 per hour. For how many hours can a person rent a bike with $32...
If a ladder is leaning against a building
If a ladder is leaning against a building, and the distance from the bottom of the ladder to the building is 8 ft. less than the length of the ladder, how high up the side of the building is the top of the ladder if the distance is 1 ...
The hypotenuse of a right triangle
The hypotenuse of a right triangle is 16 in. longer than the shortest side and 2 in. longer than the
remaining ...
A balloon is rising from the ground
A balloon is rising from the ground at 4 feet per second. Another balloon is at 756 feet and descending at 3 feet per ...
A balloon is rising from the ground
A balloon is rising from the ground at 4 feet per second. Another balloon is at 756 feet and descending at 3 feet per ...
Two numbers are in the ratio
Two numbers are in the ratio 5:2. One half of their sum is 10 and a ...
Two satellites are orbiting earth
Two satellites are orbiting earth. The path of one has the equation x2 +y2 = 2250000. The orbit of the other is 200 km farther fro the centre of earth. In one ...
The area of a triangle
The area of a triangle is 30in2. The base of the triangle measures 2 in. more than twice the height of the ...
The length of a certain rectangle
The length, L, of a certain rectangle is four feet more than three times its width, W. The perimeter of the rectangle is 88 ...
At the afternoon matinee movie
At the afternoon matinee movie 3 adult tickets and 4 child tickets cost $41, and 4 adult tickets and 3 child tickets cost $43...
A park is twice as long as it is wide
A park is twice as long as it is wide. It's length is 30...
A ball is shot into the air
A ball is shot into the air. It's height , h in metres after t seconds is modeled by h=-4.9t2 + 30t +1.6...
Sarah had an idea
Sarah had an idea, what would happen if you put a golf ball inside a basketball? How much room would there be inside the basketball afterwards. Her golf ball has a radius of 1.68 inches while her basketball has a diameter of 9.4 ...
completing the square
The path of the ball for many golf shots can be modeled by a quadratic function. The path of a golf ball hit at an angle of about 10 degrees to the horizontal can be modeled by the function, h= -0.002d2 + 0.4d, where h is the height of the ball, in meters, and d is the horizontal distance the ball travels, in meters, until it first hits the ground.
a) What is the maximum height reached by the ball?
b) What is the horizontal distance of the ball from the golfer when the ball reaches its maximum ...
A running track has straight sides and a semicircular ends
A running track has straight sides and a semicircular ends. If the length of the track is 440 yd and the two straight parts are each 110 yd ...
The sum of the squares of the two
The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 times the square of the smaller ...
Six times a number decreased by five
6 times a number decreased by 5 is the same as 4 times the number increased by 9...
A motor boat travels
A motor boat travels 400km. If the boat went 18km/h faster, it could have traveled 600 km in the same amount of ...
Two taps turned on together
Two taps turned on together can fill a tank in 15 mins. Separately, one tap takes 16mins longer than the other tap to fill the ...
A town`s old street sweeper
A town's old street sweeper can clean the streets in 60 h. The old sweeper together with a new sweeper can clean the streets in 15 ...
AB is one of the direct common tangent
AB is one of the direct common tangent of two circles with radius 12 cm and 4 cm respectively touching each ...
Andres and Biloy working together
Andres and Biloy, working together, can build a chicken house in 6 2/3 hours. Andres became ill after 3 hours of working with Biloy, and Biloy finished the job, continuing to work alone in 8 1/4 more ...
Three consecutive even integers
Three consecutive even integers are such that the square of the third is 100 more than the square of the ...
A rectangle corral is to be built
A rectangle corral is to be built using 70m of fencing. If the fencing has to enclose all four sides of the ...
The perimeter of a rectangular
The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m2...
You are selling tickets for a high school basketball game
You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect $1450...
The sum of the squares
The sum of the squares of two consecutive positive numbers is 61...
Bob, driving a new Ford
Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving and old Chevy and traveling 10 miles per hour faster, to travel 390 ...
One positive integer is 8 less
One positive integer is 8 less than twice another and the sum of their squares is 244
The total cost of a radio and a camera
The total cost of a radio and a camera is $1650. If the radio costs 4/7 as much as the ...
A software development company is getting ready
A software development company is getting ready to release a new product. The QA Director is notified the following: A Junior Verification Engineer takes 1 hour longer to fix a bug than it takes a Senior Engineer. If they can fix the bug in 5 hours working ...
The board of directors of a corporation
The board of directors of a corporation grant a bonus of $5000 to be divided between two employees. The senior employee receives $1200 more than the junior ...
A model rocket is shot into the air
A model rocket is shot into the air and its path is approximated by h = -5t2 + 30t where h is the height of the rocket above the ground in metres and t is the elapsed time in ...
Suppose that an object is 100 pounds
Suppose that an object is 100 pounds when it is at sea level. Find the value of C that make the equation true. Sea level is 3...
The length of a rectangle is 5 cm less
The length of a rectangle is 5 cm less than twice the width. If the area of the rectangle is 88 cm ...
A rectangular garden is 5 feet longer
A rectangular garden is 5 feet longer than twice its width. It has a sidewalk 3 feet wide on two of its sides. The area of the sidewalk is 213 square ...
April buys eight books
April buys eight books for $44. Paperback books cost $4 and hardback cost $8...
A rectangular lot whose perimeter
A rectangular lot whose perimeter is 360 ft. is fenced along 3 sides. An expensive fencing along the lot's length costs $20 per ft. and an inexpensive fencing along the 2 side widths costs $8 per ft. The total cost of the fencing along the 3 sides comes to $3280...
The tallest structure in the U.S.
The tallest structure in the U.S. is a TV tower in Blanchard, North Dakota.  Its height is 2063 feet.  A 2382-foot length of wire is to be used as a guy wire attached to the top of the ...
A framer at a photo gallery
A framer at a photo gallery wants to frame a print with a matte of uniform width all around the print. To make it pleasing to the eye, the area of the matte should equal the area of the print. If the print measures 40 cm by 60 ...
How do the Quarter Pounder and Whopper
How do the Quarter Pounder and Whopper with cheese measure up in the calorie department? Actually, not too well. Two Quarter Pounders and three whoppers with cheese provide 2607 calories. Even with one of each provides enough calories to bring tears to Jenny Crag's eyes-9 calories in excess of what is allowed on a 1000 calories-a-day ...
radical equations
The formula for velocity is v = (sqrt. 2gh)...
Mark bought 114 meters of fencing
Mark bought 114 meters of fencing to enclose an area of pasture for his sheep. He plans to use all of the fencing to make a rectangle that is twice as long as it is ...
My friends and I went to the mall
My friends and I went to the mall last Saturday. We went into Hollister. A shirt was on sale for $25.00 . 5 times the cost of the skinny jean minus  the cost of the shirt equals $300.00...
Frank`s Specialty Coffees makes
Frank's Specialty Coffees makes a house blend from two types of coffee beans, one selling for $9.05 per pound, and the other selling for $6.25 per pound.  His house blend sells for $7.37 per pound.  If he is using 9lb of the 6.25/lb beans, how many pounds of the $9...
There are two phone plans
There are two phone plans. One plan has $28 one time fee, and 9 cents a min. The second is 13 cents a ...
Suppose you invest $2000 today
Suppose you invest $2000 today and you don't add or subtract anything from the money to your investment for 30 yrs. If you earn 12% per year on your investment every year for 30 ...
You have made a quilt
You have made a quilt that is 4 feet by 5 feet. You want to use the remaining 10 square feet as a decorative border of uniform ...
You are selling tickets to a high school play
You are selling tickets to a high school play. Student tickets cost $5 and general admission tickets cost $8. you sell 566 tickets and collect $3797...
A motorboat travels 332 in 4 hours
A motorboat travels 332 in 4 hours going upstream 555 and in 5 hours going downstream. What is the speed of the boat in still ...
Jurassic Park charges $20 for adults
Jurassic Park charges $20 for adults and $12 for children. Total bill for 454 people was $3860...
9 times the side of one square exceeds
9 times the side of one square exceeds the perimeter of the second square by 1 metre and 6 times the area of the second square exceeds 29 times the area of the first by 1 square ...
Shelly can paint a fence in 8 hours
Shelly can paint a fence in 8 hours. Karen can do it in 4 ...
Suppose you decide to move your garden
Suppose you decide to move your garden away from the house, so you have to use 50 feet of fencing for four sides.  The length of the garden must be twice as long as the width.  If the area is now 139 feet ...
The sum of two numbers
The sum of two numbers is 42. The difference is 14...
The band boosters are organizing a trip
The band boosters are organizing a trip to a national competion for the 226-member marching band. A bus will hold 70 students and their instruments. A van will hold 8 students and their instuments. A bus costs $280 to rent for the trip. A van costs $70 to rent for the trip. The boosters have $980 to use for ...
Ahmed has first half of a treasure map
Ahmed has first half of a treasure map, which indicates that the treasure is buried in the desert (2x + 6) paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must go to the Castle Rock, walk ‘x’ paces to the North, and then walk (2x + 4) paces to the East. If they share their information, then they can find ‘x’ and save a lot of ...
A bulldozer can move 25 tons/h of material
A bulldozer can move 25 tons/h of material,and an end loader can move 18 tons/h.The bulldozer costs $75/h to operate,and the end loader costs $%0/h to operate.During a 1 hour construction company moved 204 tons at a cost of $600...
division equations
I have 9 boxes and each box contains equal number of ...
The sum of the squares of two consecutive
The sum of the squares of two consecutive negative even integers is 100...
I bought a can of varnish
I bought a can of varnish and store at temperature of 40 degree. I change to another place where the temperature was 74degree. After 2 hours the temperature of the varnish was 58 degree .If the temperature of varnish must be 68 degree for best results ...
The perimeter of Mrs. McCord`s rectangular garden
The perimeter of Mrs. McCord's rectangular garden is 100 feet. If the length is 1.5 times longer than the ...
It costs $5 to become a new member
It costs $5 to become a new member of a book club.  There is a $10 charge per book ordered and tax is 7% on the books.  Shipping and handling is free for all members.  How many books were purchased by a new member if the total bill comes to $69...
A pilot flies 630 miles with a tail wind
A pilot flies 630 miles with a tail wind of 35 miles per hour. Against the wind, he flies only 455 miles in the same amount of ...
A boat traveled 126 miles
A boat traveled 126 miles downstream and back.  The trip downstream took 6 hours.  The trip back took 42 ...
The height of a batted baseball as a function of time
The height, H metres, of a batted baseball as a function of time, t seconds, since the ball was hit can be modeled by the relation H=-2.1(t-2.4)2+13.
a) what was the maximum height of the ball?
b) at what time after it was first hit did the ball reach its maximum height?
c) how far off the ground was the ball first ...
The owner of a health foods store
The owner of a health foods store determines that the demand equation for sellin a nutritional supplement is p=18 - 0.5 square root ((x-4) where p is the price of dollars and x is the number of bottles demanded per ...
A pet store has a total of 35 dogs
A pet store has a total of 35 dogs, cats, and ...
completing the square
change to vertex-axis form by completing the square
f(x)=x2+4x-5
A construction worker is working on the roof
A construction worker is working on the roof of a building. A drop of paint falls from a rafter that is 225 feet above the ...
The sum of two numbers
The sum of two numbers is 26 and their difference is ...
A cricket jumps off the ground
A cricket jumps off the ground with an initial vertical velocity 4 feet per second.

a. Write an equation that gives the height (in feet) of the cricket as a function of the time (in seconds) since it jumps.
...
A chemical plant is rectangular and has a length
A chemical plant is rectangular and has a length of a hundred meters and a width of sixty meters. A safety zone of uniform width surrounds the plant. if the area of the safety zone equals the area of the ...
Sam takes 6 days less than the number of days
Sam takes 6 days less than the number of days taken by John to complete a piece of work. If both Sam and John together can complete the same work in 4 ...
The difference of a positive number
The difference of a positive number and its square is -30...
What value of c makes
What value of c makes x2-x+c a perfect square?
Ruby is 6 years younger than Carlo
Ruby is 6 years younger than Carlo. The average of their ages now, is twice Ruby's age 5 years ...
Alvin is 15 years older than Elga
Alvin is 15 years older than Elga. The sum of their ages is 85...
A company borrowed 600,000 for one year
A company borrowed 600,000 for one year. Part was at 8% interest, part was at 10% interest rate. How much at each rate if annual interest is $53...
Flex drove 800 miles in x hours
Flex drove 800 miles in x hours on Monday
a) write a rational expression for his average speed.
b) On tuesday he drove for 6 hours at the same average ...
A parallelogram has a base
A parallelogram has a base of length 2x +1 and a height of x+3 and has an area of 42 square units. Find the base and height of the parallelogram. (A=BH)
Aprroximately 4.5 million wrecked cars
Aprroximately 4.5 million wrecked cars are recycled in two consecutive years. There were 700,000 more recycled the second year than the first ...
Two hundred tickets for the school play were sold
Two hundred tickets for the school play were sold. Tickets cost $2.00 for students and $3 for adults. The total amount collected was $490.00...
Tickets to a movie cost
Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75...
A rectangular patio is 7 ft longer
A rectangular patio is 7 ft longer than it is ...
The total proceeds from a used book sale
The total proceeds from a used book sale were $115. A total of 65 books were sold. The books were priced at $1.50 and $2.00 each. How many books were sold for $1...
A rectangle`s width is 4 times the length
A rectangle's width is 4 times the length. The perimeter is 30 ...
There are a total of 126 cats and dogs
There are a total of 126 cats and dogs at an animal shelter. For every 5 dogs, there are 4 ...
The length of a rectangle is 4 feet longer
The length of a rectangle is 4 feet longer than twice its width. If the area is 96 square ...
An intake pipe can fill a certain tank
An intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 ...
A ball costs $1.25 and a bat costs $79.00
A ball costs $1.25 and a bat costs $79.00. The team only has 150...
The perimeter of a court is 108 meters
The perimeter of a court is 108 meters.  If the length is 6 meters longers than twice the ...
The side of a square house is 24 ft long
The side of a square house is 24 ft long, and the house is located on a lot which is 50 ft longer than it is wide. The perimeter of the lot is 20 ft more than 5 times the perimeter of the ...
Rudy must play 12 commercials
Rudy must play 12 commercials during his 1-hr radio show. Each commercial is either 30 sec or 60 sec long. If the total commercial time during that hour is 10 ...
multi-step equations
Twelve less than the quotient of the number and 7 is -2
George`s mom spent 3 times as much money
George's mom spent 3 times as much money on fruit than dairy products. She spent twice as much on dairy products than cereal. If her bill was $48.75...
Two houses are for sale on the same street
Two houses are for sale on the same street. The second house has 1000 square feet less than twice the square feet of the first house. Together the houseshave 4400 square ...
Harry can paint a room in 3 hours
Harry can paint a room in 3 hours, and Kerry can paint it in 4 ...
Two rental airplanes were flown
Two rental airplanes were flown a total of 54 hours in one month. One plane rents for $105/h, and the other rents for $130/h. The total income from the two planes was $6570...
A 240 inches pipe is cut into two pieces
A 240 inches pipe is cut into two pieces. One piece is 3 times the length of the ...
A candy shop sells two new flavors of candy
A candy shop sells two new flavors of candy. Chewy nut and chocolate chew. Each barrel of chewy nut requires 8 pounds of nuts and 4 pounds chocolate and has a profit of $540. Each barrel of chocolate chew requires 8 pounds of nuts and 2 pounds of chocolate and has a profit of $210. There are 64 pounds of nuts and 32 pounds of chocolate in stock, and the owner does not want to buy more stock to make the ...
The length of a rectangle is 2 feet more
The length of a rectangle is 2 feet more than twice the width. The perimeter of the rectangle is 40 square feet. Find the length and width of the rectangle. (Hint: First write the length using an algebraic expression that contains width)
Tasty Bakery sells three kinds of muffins
Tasty Bakery sells three kinds of muffins: chocolate chip muffins at 25 cents each, oatmeal muffins at 30 cents each, and cranberry muffins at 35 cents each. Charles buys some of each kind and chooses three times as many cranberry muffins as chocolate chip muffins. If he spends $4.70 on 15 ...
midpoint
If ab=6, bc=9 and ac=13, what must be true of points a,...
A community center sells
A community center sells a total of $301 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $487 in ticket ...
A total of 512 tickets were sold
A total of 512 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets ...
A boy walked at the rate
A boy walked at the rate of 2mph and then rode a bicycle back the same distance at the rate of 10mph. If the entire trip took 3 ...
At an IMAX theatre, the giant rectangular screen
At an IMAX theatre, the giant rectangular screen has a width 36 feet less than its length. If the perimeter of the screen is 332 ...
You want to put a fence around your vegetable garden
You want to put a fence around your vegetable garden. The garden has a square shape. You want the fence to be one yard away from each side of the garden. You used 56 yards of ...
A car leaves New York traveling south
A car leaves New York traveling south at 50 m/hr. One hour later, another car leaves New York on the same road traveling south at 55m/...
A grocer plans to mix candy
A grocer plans to mix candy that sells for $2 a pound with candy that sells for $4 a pound to get a mixture that sells for $2.75 a ...
Kaya pasted 3 rows of photos
Kaya pasted 3 rows of photos on each of 5 pages of her scrapebook. She put 2 photos in each ...
Cary spent 1/3 of his time working on fractions
Cary spent 1/3 of his time working on fractions and 3/6 of his time working on algebra. He spent the last 10 minutes of his class reading a chapter in his ...
A farmer raises wheat and soybeans
A farmer raises wheat and soybeans on 215 acres. if he wants to plant 31 more acres in wheat than ...
The following table gives the population
The following table gives the population (in millions) of Georgia and North Carolina in 1990 and 2003.

Year           Georgia       North Carolina
1990             6.5                  6.8
2003             8.7                  8.4

Assume that the population growths are ...
A mixture of 12 liters of chemical A
A mixture of 12 liters of chemical A, 16 liters of chemical B, and 26 liters of chemical C
is required to kill a certain destructive crop insect. Commercial spray X contains 1, 2, and 2
parts, respectively, of these chemicals. Commercial spray Y contains only chemical C.
Commercial spray Z contains only chemicals A and B in equal ...
You want to build a fence around a square garden
You want to build a fence around a square garden that covers 506.25ft2...
Danny had $22.00 in loonies and toonies
Danny had $22.00 in loonies and toonies.
a) Write a linear relation for the total amount of money in terms of the number of loonies and toonies.
b) Write an equation to express the number of toonies in terms of the number of ...
Shoes cost $20 per pair and boots cost $60 per pair
Shoes cost $20 per pair and boots cost $60 per pair. Arlene and Jerry spent $8000 and bought 3 times as many boots as ...
A total of $8000 is invested in two funds
A total of $8000 is invested in two funds paying 4% and 5% annual interest. The combined annual interest is $350...
A boy is now two-thirds as old
A boy is now two-thirds as old as his sister, and two years ago he was five-eighths as old as she was ...
Diophantus was a famous Greek mathematician
Diophantus was a famous Greek mathematician who lived and worked in Alexandria, Egypt, probably in the third century A.D. After he died, someone described his life in this puzzle:

He was a boy for 1/6 of his life.
After 1/12 more, he acquired a beard.
After another 1/7, he married.
In the fifth year after his marriage his son was born.
The son lived half as many years as his father.
Diophantus died 4 years after his ...
Dave sold popcorn and pretzels
Dave sold popcorn and pretzels at the game. He sold a told of $336 worth of both. He sold popcorn for $2.50 and pretzels for $2 each.  He sold twice as many bags of popcorn than ...
A machine produces open boxes
A machine produces open boxes using square sheets of plastic. The machine cuts equal sized squares measuring 2 inches on a side from each corner of the sheet, and then shapes the plastic into an open box by turning up th esides. If each box must have a volume of 242 cubic inches, find the length of one side of the open ...
A motorcycle breaks down and the rider
A motorcycle breaks down and the rider has to walk the rest of the way to work. The motorcycle was traveling at 45 mi/hr, and the rider walks at a speed of 6 mi/hr. The distance from home to work is 25 miles, and the total time of the trip was 2 ...
Ravi will be four times his present age
Ravi will be four times his present age after five ...
Three pumps are being used to empty a small pool
Three pumps are being used to empty a small pool. The first pump is twice as fast as the second pump. The first two pumps can empty the pool in 8 hours, while all three pumps can empty it in 6 hours. How long would it take each pump to empty the pool individually? Hint: Let x represent the fraction of the pool that the first pump can empty in one hour. Let y and z represent this fraction for the second and third ...
Two cars started from the same point
Two cars started from the same point but traveled in opposite directions. the faster car traveled 15 kilometers faster than the slower car. after five hours the 2 cars were 575 kilometers ...
At full speed, an airplane can travel
At full speed, an airplane can travel 4500 miles with the wind in 6 hours, but it requires 10 hours to travel the same distance against the wind.
what is the wind ...
systems of equations
The school that Asanji goes to is selling tickets to a play.  On the first day of ticket sales the school sold 10 senior citizen tickets and 9 student tickets for a total of $200.  The school took in $87 on the second day by selling 7 senior citizen tickets and 1 student ...
Juan goes to a bank and gets change
Juan goes to a bank and gets change for a $50 bill consisting of all $5 and $1 bills. There are 22 bills in ...
Tina hiked 15km up a mountain trail
Tina hiked 15km up a mountain trail. Her return trip along the same trail took 30 minutes less because she was able to increase her speed by 1km/...
If the price of 3 hats and 7 shirts
If the price of 3 hats and 7 shirts is $189 and 5 hats and 11 shirts is $301...
The population of black mountain
The population of black mountain is 40,000 and is gowing by 800 per year. The population of Hidden Valley is 67,000 and is decreasing by 550 per ...
copper that was 63% pure
copper that was 63% pure was melted together with copper that was 90% pure to make 18 kilograms of an alloy that was 75% ...
Amy took a test that had a math section
Amy took a test that had a math section and an English section. She earned a total score of 88. Her math score was 6 points higher than her English ...
The product of whole positive even integer
The product of whole positive even integer and the product of the next larger positive integer equals the reciprocal of the first ...
Find a two-digit number
Find a two-digit number where the sum of the digits is 6 and the number is 6 times the unit's digit.
A child in an airport is able to cover
A child in an airport is able to cover 291 meters in 3 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 228 meters in 4 minutes. What is the child's running speed on a still ...
I have $50 consisting of all $5 bills and $1 bills
I have $50 consisting of all $5 bills and $1 bills and total of 22 ...
Find the value of two numbers
Find the value of two numbers if their sum is 12 and their difference is 4
If robert has ten coins all nickels and dimes
If robert has ten coins all nickels and dimes worth 70 cents how many of each kind of coin does he have?
The sum of the digits of a two-digit number
The sum of the digits of a two-digit number is 13. The number is 27 more than the number formed by interchanging the tens digit with the one ...
Mike bought 3 cokes and 2 fries
Mike bought 3 cokes and 2 fries and paid 5.25. he also noticed the cost of an order of fries is 2 times the cost of a ...
Lara arranged the books on her shelf by size
Lara arranged the books on her shelf by size. 2/10 of the books were tall, and 1/2 of the books were ...
During a used book sale
During a used book sale, a total of 62 books were sold and $103 was made. The books were priced at $1.50 or $2.00 each. Find how many books are sold at $1.50 and how many at $2.00
Paul bought 8 eating utensils
Paul bought 8 eating utensils for a total of $26. Spoons cost $4 and forks cost $3...
The formula represents the number of households
The formula N=4x2+5x+1 represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to the ...
There are 48 heads and 134 legs
There are 48 heads and 134 legs among the chicken and pigs on the ...
If jennifer were three times as old
If Jennifer were three times as old as she was five years ago, she will be twenty seven more than current ...
The chief executive has just requested
The chief executive has just requested that Suzie's division make 300 gallons of sparkling water to sell at $6 per gallon. She wishes to mix 3 grades of water selling for $9, $3, $4.50. She must use twice as much of the 4.50 water as the 3.00...
Tickets for a school play cost
Tickets for a school play cost $4 for adults and $2 for students. At the end of the play, the school sold a total of 105 tickets and collected $360. Write a linear system. Let x be the number of adult tickets sold and let y be the number of student tickets sold. Graph the ...
The sum of three numbers
The sum of three numbers is 15. The third number is nine less than the sum of the first and second number. The first number is four more than the third ...
Systems Of EquationsThe sum of three consecutive numbers
The sum of three consecutive numbers is the same as twice the value of the last ...
A total of 50 juniors and seniors
A total of 50 juniors and seniors were to give a mathmatics test. The 35 juniors attained an average score of 80 while the 15 sneiors attained an average of 70...
If 3 times the second number
If 3 times the second number is subtracted from the sum of the first number and 3 times the third ...
The sum of the squares of two consecutive positive even integers
The sum of the squares of two consecutive positive even integers is 244...
There is a bag that contains
There is a bag that contains: blue, green, and red marbles. There is a total value of 10 marbles. There are twice as many blue marbles as there are green, and the amount of red is one more than three times the amount of ...
The sum of two numbers
The sum of two numbers is 20. Their difference is 4...
At a point 30 meters from the base of the tower
At a point 30 meters from the base of the tower, the distance to the top of the tower is 2 meters more than twice the height of the ...
A 240-inch pipe is cut into 2 pieces
A 240-inch pipe is cut into 2 pieces. One piece is 3 times the length of the ...
The width of a rectangular gate
The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures 6 ...
The length of a rectangular field
The length of a rectangular field is 24 meters. This is 3 meters less than twice the ...
The product of two consecutive positive even intergers
The product of two consecutive positive even intergers is one hundred sixty-...
If a certain number is added to both the numerator and denominator
If a certain number is added to both the numerator and denominator to the fraction 7/9, the result is 5/7...
Traci and Gene walk at the same rate
Traci and Gene walk at the same rate and jog at the same rate.Traci walks for 1 hour and jogs for 1 hour, and covers a distance of 17km. Gene walks for 2 hours and jogs for half and hour, and covers a distance of 16...
A man buys x cans of beer
A man buys x cans of beer at 30 cents each and (x+4) cans of lager at 35 cents each. The total cost is $3.35...
A piggy bank contains 20 coins
A piggy bank contains 20 coins, consisting of nickels and dimes. How many of each type of coin are there if the piggy bank contains $1...
Jill ran up the hill
Jill ran up the hill at 6 km/hr and down at 10 km/...
What number must be added to both the numerator and the denominator
What number must be added to both the numerator and the denominator of the fraction 5/11 to make the result equal 5/9?
The sum of 2 numbers
The sum of 2 numbers is 30, and their quotient is 2/3...
One eighth of a number
One eighth of a number is ten less than one fifth of the ...
Two numbers have a sum
Two numbers have a sum of 127.  The larger is 17 more than the ...
Rudy must play 12 commercials
Rudy must play 12 commercials during his 1-hr radio show. Each commercial is either 30 sec or 60 sec long. If the total commercial time during that hour is 10 ...
A supplier gives a quote for you
A supplier gives a quote for you: $3000 for 500 t-shirts; $5500 for 1000
t-shirts.

Assume there is a linear relationship between the number of t-shirts ordered (n) and the total cost (C)...
The sum of the reciprocals of two consecutive even integers
The sum of the reciprocals of two consecutive even integers is 13/84...
Write a mathematical expression for each number
Write a mathematical expression for each number 1 through 18, using only the number 4 and mathematical symbols. The goal is to use the fewest number of 4s as possible. No other digit can be used.  NOTE: Fours can be combined to create 44, 4.4, 444, 0.4...
If the length of each side of a square is decreased
If the length of each side of a square is decreased by 4 inches, the perimeter of the new square is 10 inches more than half the perimeter of the original ...
The numerator of a fraction
The numerator of a fraction is 19 less than the denominator. If the value of the fraction is 3/8...
Car 1 leaves St. Louis at 12 noon
Car 1 leaves St. Louis at 12 noon, traveling at 52mph. Car 2 leaves St. Louis at 2 pm, but travels at 72mph, going in the same ...
Find the area of a circular flower bed
Find the area of a circular flower bed with a diameter of 54 feet.
At the animal shelter
At the animal shelter there were 46 cats and dogs. There were 18 more dogs than ...
Four times a number
Four times a number is 21 more than the number.
Find an equation of variation y
Find an equation of variation y varies jointly as w and the square of x and inversely as z, y=25 when x=5 w=5 and z=10
Two cows in four weeks can eat
Two cows in four weeks can eat all of the grass on two acres and all the grass that grows on these two acres during the four weeks. Three cows in two weeks can eat all the grass on two acres and all the grass that grows on these two acres during the two weeks. How many cows can eat in six weeks all the grass on six acres and all the grass that grows on these six acres during the six ...
Stella’s Catering is planning a wedding reception
Stella’s Catering is planning a wedding reception. The bride and groom would like to serve a nut mixture containing 25% peanuts. Stella has available mixtures that are either 40% or 10% ...
A 63 inch pipe is cut into two pieces
A 63 inch pipe is cut into two pieces. If one piece has a length of z inches, what is the length, in ...
I think of a number
I think of a number. I add 100 and subtract 10. My answer is -100...
The sum of three numbers
The sum of three numbers is 64. The second number is 3 more than the first. The third number is 11 less than twice the first. Find the numbers
Ahmed has half of a treasure map
Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find
the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of ...
Bob, traveling in a new Ford
Bob, traveling in a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy 10 miles per hour faster, to travel 390. How fast is Bob ...
The fencing to surround a flower garden
The fencing to surround a flower garden 14 feet by 9 feet costs $8 per ...
Twice the sum of a number
Twice the sum of a number and 9 is the same as 4 times the difference obtained when 6 is subtracted from the ...
there is a ring of fourteen stepping stones
there is a ring of fourteen stepping stones. A girl hops round the ring, stopping to change feet every time she has made three hops. She notices that when she has been round the ring three times, she has stopped to change feet on each one of the fourteen stones. The girl now hops round the ring, stopping to change feet every time she has made four hops. Explain ...
The restaurant can currently seat 120 people
The restaurant can currently seat 120 people up to 4 people in each booth and up to 8 people in each table. Plan a new seating arrangement with no more than 12 sections that will hold a total of 250 people. Each section should have no more than 6 table or 6 booths and no section may have ...
Trains at each end of the 50.0-km-long Eurotunnel
Trains at each end of the 50.0-km-long Eurotunnel under the English Channel start at the same time into the tunnel. Find their speeds if the train from France travels 8.0 km/m faster than the train from England and they pass in 17...
The difference when 7 less than a number
The difference when 7 less than a number is subtracted from twice the number is 12...
Evaluating Binomial Coefficients
Find the coefficient of y^6 in (2x-3y^2)^6
Circle Equation
Ms.speedi is going to have jewels,which cost$100 a piece, set along the outer border of the face of her watch.the jeweler explained that she could place two jewels per cm.,but to estimate the price of the jewels,she would need to know the circumfrence of the watch.the radius of the face of the watch is 2 cm.help Ms. Speedi by finding the approximate cost of the jewels(incuding 8% tax)...
Graphing Linear Equations
Mike plans on selling tickets to a play he is hosting, he will sell adult tickets for $15.00 and he will sell student tickets for $7.00.  Mike would like to make $7000 on the ...
Coefficients
there are 150 apples and they need to split between 40 friends for 30 diffrent pies how much will each friend have in the pies
Quadratic Formula
To raise $1,000, the members of the Nice People Club pledged to chip in equal amounts.  However, five of the Nice People did not contribute, so to make the $1,000 the rest of the members had to pay a extra $10 ...
Circle Equation
The centre of the smallest circle passing through origin lies on the line X-Y+1=0 then find the coordinates of its centre.
Absolute Value Equations
Sarah and Jessica are sisters. Sarah's height is s inches and Jessica's height is j ...
Quadratic Formula
A social club charters a bus to go to Six Flags at a cost of $900. At the last minute, 5people decide not to go. This raises the cost per person by $2 each. If the cost is split evenly between all the people who go, how many people originally intended to take the ...
Quadratic Formula
A rectangle is 4/3 as long as it is wide.  A second rectangle is 4 meters longer and 2 meters wider than the first, and its area is twice that of the ...
Coefficients
johnn and peter can do a piece of work in 3 3/7 days .while john works 3 days and peter works 4 days, they will finish the work .Find the time required by each to do the work
Graphing Equations
a wedding cake measures 2 feet high in the center and the diameter of the bottom tier is 12 ...
Solving Systems Of Linear Equations
Remi has $8.40 in a jar that contains only nickels and dimes. There are 108 coins in the ...
Completing The Square
i want to change the carpet in an office that measure 12 feet by 15 feet, if the carpet cost $12...
First Degree Linear Equations
Ron and Kathy are ticket sellers for their class play. Ron sells student tickets for $2.00 each, and Kathy sells adult tickets for $4.50 each. If their total revenue for 364 tickets is $1175.50...
Fractional Coefficients
At a water pollution control facility one pipe can fill a tank in 4 hours. Combined with another pipe the tank can be filled in 2 hours, 24 ...
Substitution Method
There are 3 times as many houses available with floor plan 2 than there are with floor plan 1. There are 56 houses in total that are ...
Multi-Step Equations
A school play had a attendance of 216 people. The profit was 511.50 and they charged $3 for adults and $1.50 for ...
Absolute Value Equations
Barry;s walkie talkie has a range of 2 mi.  Barry is traveling on a straight highway and is at mile marker 207...
Solving Systems of Equations using Substitution
A  child's admission sells for 2.00 and an adult sells for 4.00.  they sell 200 tickets and raised 650.00 from the ...
First Degree Linear Equations
The sum of 5 and a number divided by 4 is 9...
Solving Systems Of Linear Equations
Consumer Cost: a customer has $70 to spend in a grocery store. She spends %28.20 for canned goods. The remaining amount is needed to buy a total of 9 pounds of steak and chicken. If the cost per pound for steak and chicken is $6.95 and $2.80 ...
Coefficients
which equation has a graph you can trace to find the value of x that makes 8 = 2x - 6 a true statement?
i. y = 2x         ii. y = -5x          iii. y = 2x - 6     iv. y = -2x + 1          v. y = 7
Solving Systems Of Linear Equations
In 1920 the record for a certain race was 46.3 sec. In 1930, it was 46.2 sec. Let R(t)= the record in the race and t = the number of years since 1920.
A) find a linear function that fits the data.
B)use the function in (a) to predict the record in 2003 and in 2006.
C) find the year when the record will be 45...
Rational Zeros
the revenue of a charter bus company depends on the number of unsold seats. If 100 seats are sold, the price is $50. Each unsold seat increases the cost per passenger by $1. Let x represent the number of unsold seats. Write and expression for the number of seats that are sold. Write and expression for the price per seat. Write and expression for the revenue. Find the number of unsold seats that will produce the maximum ...
Solving Polynomial Equations
suppose a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile,and they can expect to sell x=52 tiles in a months time. Find the equation of the line for the demand equation. Write your answer in the form of p=mx+b
Logarithmic Equations
In 1998, the population of Country C was 26 million, and the exponential growth rate was 1% per ...
Solving Systems of Equations using Elimination
Tickets for the school play sold at $2 each for adults and .75 cents for students. if there were four times as many adult tickets sold as student tickets, and the total receipts were $1750...
Completing The Square
suppose that an open box is to be made from a square sheet of cardboard by cutting out 4-inch squares from each corner  and then folding along the bottom of the ...
Division Equations
The area of sherry's flower garden is one-fourth the area of her vegetable garden.The area of the flower garden is 17 square feet. Let X represent the area of the flower ...
Solving Systems Of Linear Equations
a jet can travel  12000km. distance in 12 hrs.with the wind . the return trip takes 15 ...
Literal Equations
6c. Mark Clay has twice as many 10-centavo coins as 25-centavo coins, amounting to $6.75 in ...
Substitution Method
A farmer grows only sunflowers and flax on his 240 acre farm. This year he wants to plant 80 more acres of sunflowers than ...
Solving Linear Equations
1. a man who is 42yrs old has a son of 12yrs old. in how many years will the father be twice as old as his son?

2. Mr. Santos, working as a salesman for a firm, gets a salary of 5000 per month plus a commission of 10% on all sales above 2000000 per month. his total gross pay last month was 21000. how much was his total sale last month?

3. Train A leaves a station 1/2 hour ahead of Train B. The trains travel on parallel tracks. Train A travels at 25km/h while train B travels at 25km/h , how many hours will it take Train B to overtake Train A?

4. Mark can finish task alone in 24days while Andrei can do the same task in 18days. If they work together, how long can they finish the task?

5. A variety of candies costing $10.50 per kg is mixed with another variety costing $15 per kg, to make a mixture of 12kg that would cost $12.50 per kg. how many kg of each variety were mixed?

6. Three hundred people attended a band concert. Reserved seat tickets were sold at $100 each while general admission tickets cost $60 each. If the sales totaled $26000, how many tickets of each type were sold?

7. Grace found some coins under her pillows. There were equal numbers of one peso coins and five peso coins. the number of twenty-five centavo coins was twice that of one peso coins. If the total value of the coins was P39 how many of each denomination did she find?

8. When Professor Recalde drives his car to school, the trip takes one hour. When he takes an FX cab, the trip takes 1 hour and 15 minutes. The speed of FX cab is 10 kilometers per hour less than Professor Recalde's speed when ...
Completing The Square
Ball drops from 70 meter bridge.  What is height of ball to the nearest tenth of a meter exactly 2 seconds after ball is ...
Substitution Method
in the us house of representatives there are 435 members.  if an appropriations bill passes the house with 85 more members voting in favor than against . how many voter in favor and how many voter against
Solving Algebraic Equations
There were 1000 more students at the soccer game than nonstudents. Student tickets were $8.50 and nonstudent tickets were $13.25. If the total revenue for the game was $75,925...
First Degree Linear Equations
An adult ticket to the school play costs $1.50 less than twice a student's ticket.  The adult ticket costs $4.50...
Solving Systems Of Linear Equations
In a family there are two cars. In a given week, the first car gets an average of  40 miles per gallon, and the second car gets 20 miles per gallon. The two cars combined drive a total of 1800 miles in that week, for a total gas consumption of  55 ...
Trigonometric Equations
A pharmacist is to prepare 15 militers of special eye drops for a glaucoma patient. The eye-drop solution must have a 2% active ingredient, but the pharmamcis only has 10% solution and 1% solution in ...
Substitution Method
The sum of two positive integers is 80...
Absolute Value Equations
The mean distance of the earth from the sun is 93 million miles the distance varies by 1...
Logarithmic Equations
A kettle full of water is brought to a boil in a room with temperature 20°C. After 15 minutes the temperature of the water has decreased from 100°C to 75°...
Subtraction Equations
The difference of  two numbers is 2 and the difference of their squares is 20...
Solving Systems Of Equations
Nancy had &18,000 in savings. She invested part of it at 7.5% interest and the rest at 9%. If the total income from the two investments was $1560...
Solving Systems Of Linear Equations
The Sum of two numbers is 48. Four times the smaller number is equal to twice the larger ...
Solving Systems Of Equations
Nancy had $18,000 in savings. She invested part of it at 7.5% interest and the rest at 9%. If the total income from the two investments was $1560...
Division Equations
The area of sherry\'s flower garden is one-fourth the area of her vegetable garden.The area of the flower garden is 17 square feet. Let X represent the area of the flower ...
Solving Linear Equations
In a fraction,twice the numerator is two more than the denominator.If 3 is added to the numerator and to the denominator,the new fraction is 2/3 .Find the original fraction
Multiplication Equations
A rectangular storage container with an open top is to have a volume of 60 cubic meters.

The length of its base is twice the width.

Material for the base costs 60 dollars per square meter.

Material for the sides costs 4 dollars per square ...
Differential Equations
The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 – N(t), where t is the time in years.

When t = 0, the population is 400.
When t = 3, the population is 650.

Find the population when t = 5. Round your answer to the nearest 50 mountain lions.

a. Write the implied differential equation.

b. Solve the equation to find the general solution.

c. Use the given information to find a particular solution.

...
Solving Systems of Equations using Elimination
there were 400 trees sold at the tree farm in 1 day. The large trees are $25 and the small trees are $15. If the total profit was $8850...
Completing The Square
find the minimum product of two numbers whose difference is 9
Solving Linear Equations
Rose is two thirds as old as Johnny, in 5yrs the sum of their ages will be 50...
Solving Systems of Equations using Elimination
A motel clerk counts his $1 and $10 bills at the end of a day. He finds that he has a total of 53 bills having a combined monetary value of $170...
Completing The Square
each pail of plaster covers 81 square feet of ...
Substitution Method
One canned drink is 15% orange juice; another is 5% orange ...
Solving Quadratic Equations
family received 19 pieces of mail, consisting of magazines, bills, letters, and ads. If the received the same number of magazines as letters, three more bills than letters, and five more ads than ...
Solving Rational Equations
The reciprocal of 5 less than a number is 4 times the reciprocal of twice the ...
Solving Polynomial Equations
the sum of two numbers and it's square is 72. find the numbers
Substitution Method
1. Bob and Sara went to a restaurant last Saturday. Sara remembers that she had a steak and Bob remembers that he had a burger. Their total bill was $22 but they don’t remember what the cost for each was. Sara remembers that her meal was twice as much as Bob’...
Rate Equation
A repairman purchased several furnace blower motors for a total cost of $210. If his cost per motor had been $5 less, he could have purchased 1 additional ...
Polynomial Equations
The specifications for a cardboard box state that the width is 5 cm less than the length, and the height is 1 cm more than double the length. Write an equation for the volume of the box and find possible dimensions for a volume of 550 cm^3
Solving Systems of Equations using Elimination
the sum of two numbers is 16. their difference is 20. find the numbers
Completing The Square
Five times the square of a number is 980...
Midpoint
The midpoint of segment AB is (4,-3). If A is the point (-1...
Systems Of Linear Equations
Michael buys two bags of chips an three boxes of pretzels for $5.13.  He then buys another bag of chips and two more boxes of pretzels for $3.09...
Completing The Square
Ball drops from 70 meter bridge.  What is height of ball to the nearest tenth of a meter exactly 2 seconds after ball is ...
Multi-Step Equations
The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050...
Multi-Step Equations
while Michelle sat observing birds at a bird feeder, one forth of the birds flew away when they were startled by a noise.Two birds left the feeder to ggo to another stationed a few feet away. Three more birds flew into the branches of a nearbytree.Four birds remained at the ...
Solving Rational Equations
In a motorcycle race, one lap of the course is 650m. At the start of the race, Genna sets off 4 seconds after Tom does, but she drives her motorcycle 5m/s faster and finishes the lap 2.5 seconds sooner than he does.

a) Find the speed at which each of them is ...
Solving Rational Equations
seven halves of a number added to the same number the sum is 5 1/3...
Solving Quadratic Equations
A rectangle has a perimeter of 30 inches. The length is twice as long as the ...
Systems Of Linear Equations
The sum of two numbers is 56. Their numbers is 18...
Solving Linear Equations
A high school had 1200 students enrolled in 2003 and 1500 students in 2006. If the student population P ; grows as a linear function of time t, where t is the number of years after 2003.
a) How many students will be enrolled in the school in 2010...
Solving Rational Equations
Jamie drove to visit her parents who live 70 miles away. On her way there, her average speed was 24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of 2 hours ...
Differential Equations
You buy a jacket and the sales tax is 10.25% in the city of Chicago. The total cost if the jacket is $82.68. Find the initial cost of the jacket before the sales tax is applied
Linear Equations
Bob has two sacks of apples and four more apples in his pocket. Each sack contains the same number of apples. Altogether, Bob has 60 ...
Quadratic Equations
a rectangular box is to be built with a 15 by 12 ft. piece of material by cutting square corners, if the volume of the box is 176 cubic ft. find the dimensions of the square corners
Solving Rational Equations
The reciprocal of two more than a number is three times the reciprocal of the ...
Multi-Step Equations
you and your neighbor are building fences of the same length. each piece of your fence is 60 inches long, and each piece of your neighbor's fence 45 inches long. the 60 inch fence pieces cost 30 dollar each. the 45 inch long fence pieces cost 22 dolla each. what is the shortest possible fence length that bth of you can build? how many pieces of fence do each of you need for this length of ...
Completing The Square
Ahmed has the first half of a treasure map, which inducastes that the treasure is buried in the desert (2x+4) paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must go to Castle Rock, walk 'x' paces to the North, and then walk (2x+4) paces to the East. If they share their information, then they can find 'x' and save a lot of ...
Solving Systems Of Equations
Mack’s Tee Shirt Shack sold 36 shirts
one day. All short-sleeved tee shirts cost $12 and all
long-sleeved tee shirts cost $18. Total receipts for the
day were $522...
Linear Equations
a group of 266 persons consists of men, women, and children. there are four times as many men as children, and twice as many woman as ...
Solving Linear Equations
the sum of two numbers is 65.their difference is 15.find the numbers
Solving Systems of Equations using Elimination
an airline baggage truck can hold 95 pieces of baggage in two seperate compartments. in one trip from the airplane to the terminal, the truck is filled to capacity. one compartment is holding 14 more than twice the other. how many pieces of baggage are in each compartment of the truck
Solving Quadratic Equations
A piece of cardboard is twice as long as it iss wide. It is to be made into a box with an open top by cutting 2-inch squares from each corner and folding up the sides. Determine a function V that represents the volume of the ...
Algebraic Equations
Carol Blitz plans to buy shares of two stocks.  One costs $32 per share and pays dividends of $1.20 per share.  The other costs $23 per share and pays dividends of $1.40 per share.  She has $10,100 to spend and wants to earn dividends of $540...
Substitution Method
a)The sales representative informs you that there are two floor plans still available, and that there are a total of 56 houses available. Use x to represent floor plan #1 and y to represent floor plan #2. Write an equation that illustrates the situation.

b)The sales representative later indicates that there are 3 times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in part a.

c)Use the equations from part a and b of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.

d)What are the intercepts of the equation from part a of this problem? What are the intercepts from part b of this ...
Solving Systems Of Equations
Last month, a bookstore ran the following ad. Calculator Specials, scientific models $12 and graphing models $19 each. Sales of 5,370 were generated, with 15 more graphing ...
Rate Equation
Deposit $250 in bank account that pays annual interest rate of 2%...
Algebraic Equations
a toy train has 20 cars- blue, purple and orange. there are 4 times as many blue cars as purple cars. there are 5 times as many orange cars as purple ...
Radical Equations
Use your equation from part a to approximate how many years it would take for the population to reach 7000...
Absolute Value Equations
find the critical point of the function f(x)=abs(x+3)-1
Quadratic Equations
A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 ...
Solving Systems Of Equations
the sum of two integers is 64. when the smaller number is subtracted from the larger number, the difference is 26...
Multi-Step Equations
THE KEYBOARD OF A PIANO HAS 7 FULL OCTAVES PLUS 2 EXTRA WHITE KEYS AND 1 EXTRA BLACK KEYS. THERE ARE 36 BLACK KEYS ON A ...
Solving Quadratic Equations
A number of students rented a car for $160 for a one weekend trip. if another sudent had joined the original group, each person's share of expenses would have been reduced by $8...
Solving Quadratic Equations
a tugboat can travel 8 mph in still water.going against a current it spends 1 hour and 20 minutes more than going the same distance of 8 miles with the ...
Quadratic Equations
If f(x) equals X to the fourth power minus x plus 2...
Solving Quadratic Equations
if a number is added to its square the result is 42...
Multi-Step Equations
Katie has $880 in five- and  twenty-dollar bills. If she has four more twenties than ...
Linear Equations
1.) In 1990, the area covered by rain forest was decreasing a about 78,000 square miles per year.Suppose that the desert areas were increasing at 50,000 square miles per year.At those rates,how many would pass before Earth's deserts cover twice the land area that the rain forests cover?

In 1990,there were about 35 million sqare miles of rain forest and 39...
Solving Polynomial Equations
A rectangular room is 7 feet longer than it is wide. If the area of the room is 228 square ...
Rate Equation
Juan drives to work. Because of traffic problems, he averages 22 mph. He returns home averaging  32 mph.  The total travel time is 2 1/4 hours.  Write an expression for the time Juan takes to return ...
Systems Of Equations
I have a problem putting word problems into equations. Here is my word problem: At $10 per ticket, the Rhythm Kings will fill all 8000 seats in the Saint cloud Arena. For every $1 increase in ticket price, 500 tickets will go unsold. Find a linear equation that gives the number of tickets sold (n)  in terms of the ticket price (p)...
Solving Quadratic Equations
the difference of two integers is 4 and the sum of their reciprocals 4/15...
Radical Equations
Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=cr^-2 , where C is a constant, and r is the distance that the object is from the center of the ...
Algebraic Equations
the attendence at a ball game was 400 people. Student tickets cost $2 and adult tickets cost $3...
Solving Systems Of Equations
Two planes travel toward each other from cities that are about 450 km apart at rates of 240 km/hr and 210 km/hr. They started at the same ...
Solving Systems Of Equations
the length of a rectangle is 5cm more than twice the width. the perimenter of the rectangle is 34 cm. find the dimensions of the rectangle
a) write an equation to model the length of the rectangle as a function of the width
b)write an equation using the fact that the perimeter of the rectangle is 34 cm
c) what are the dimentions of the rectangle
Multi-Step Equations
Admission a baseball game is $5.00 for general admission and $7.00 for reserve seats. The receipts were $7348.00 for 1334 paid admission. How many of each ticket were ...
Radical Equations
Rose cost $3.50/each; Lily Cost $2.50/each. The total of 10 flowers cost $50...
Linear Equations
1.) In 1990, the area covered by rain forest was decreasing a about 78,000 square miles per year.Suppose that the desert areas were increasing at 50,000 square miles per year.At those rates,how many would pass before Earth\'s deserts cover twice the land area that the rain forests cover?

In 1990,there were about 35 million sqare miles of rain forest and 39...
Quadratic Equations
A square mirror has sides measuring 2 feet less than the sides of a square painting.  If the difference between their areas is 32 square ...
Multi-Step Equations
If A change machine contains nickels, dimes and quarters. There are 75 coins in the machine. The value of the coins is $7.25. There are five times as many nickels as ...
Solving Systems Of Equations
A three digit number is 198 less than the number when its digits are reversed.  Twice the sum of the digits is five more than seven times the tens digit.  The tens digit is five less than twice the hundreds digit.  Find the original number
Systems Of Equations
Gonzalez Manufactoring borrowed $24000. Part of the money was borrowed at 10%, part ast 12%, and part at 14%. The annual interest was $2960, and the total amount borrowed at 10% and 12% was twice the amount borrowed at 14%...
Absolute Value Equations
A car and a bus set out at 2 p.m. from the same point, headed in the same direction. The average speed of the car is 30 mph slower than twice the speed of the bus. In two hours, the car is 20 miles ahead of the ...
Systems Of Equations
At the end of the year, a business has made a profit of $150,000 and is trying to calculate the amount of tax due to the federal government and to the state. The federal tax rate is 30%, and the state tax rate is 10%, but state taxes are deductible before federal taxes are calculated, and federal taxes are deductible before state taxes are calculated. In other words, state taxes are subtracted from the profits before the 30% federal tax is calculated, and federal taxes are subtracted from the profits before the 10% state tax is ...
Rational Equations
Describe two real-life examples where rational expressions are used on the job
Multi-Step Equations
three is added to a number and then the sum is multiplied by 4. the result is 16. find the number
Solving Polynomial Equations
the polynomial 0.041h-0.018A-2.69 can be used to estimate the lung capacity,in liters,of a female with height h cm and age A years.find the lung capacity of a 50 year old woman who is 175 cm ...
Systems Of Equations
Caleb had 90 pencils and pens. After giving away 1/3 of his pencils and 10 pens, he had an equal number of pencils and pens ...
Linear Equations
A motorboat travels 378 km in 7 hours going upstream and 258 in 3 hours going downstream. What is the speed of the boat in still ...
Linear Equations
A second tank that is curently full contains 20,000 gallons of home heating oil. This tank will be emptied through a drain pipe at the rate of twenty five gallons per minute.
How much heating oil will be in the tank after 10 minutes? One ...
Solving Equations
The width of a rectangle is 15 feet less than its length, and the perimeter is 210 feet.  Find the width
Linear Equations
For a certain experiment, a student requires 100 ml of a solution that is 8% HCI(hydrochloric acid). The store room has only solutions that are 5% HCI AND 15% ...
Systems Of Equations
As a business owner there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company’s products. Your company produces two models of bicycles: Model A and Model B. Model A takes 2 hours to assemble, where Model B takes 3 hours to assemble. Model A costs $25 to make per bike where Model B costs $30 to make per bike. If your company has a total of 34 hours and $350 available per day for these two ...
Multi-Step Equations
Team A and team B have 20 players each.Team A has 7 girls.Team B has twice as many girls as team B has.On both teams,how many players are ...
Differential Equations
Joe is selling mix tapes for $54 each.He has a sale for 20% if you buy on Friday at no later than 12:00 noon.Martin buys 10 mix tapes at 12:00 and 3 others on Saturday.How much does the whole unit ...
Quadratic Equations
An open rectangular gutter is made by turning up the sides of a piece of metal 20 inches wide. The area of the cross section of the gutter is 50 inches ...
Systems Of Equations
suppose you invest $1500 in equipment to put pictures on T-shirts.  You buy each T-shirt for $3.  After you have placed the picture on a shirt you sell it for $20...
Systems Of Equations
A total of  tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold ...
Systems Of Equations
A total of  tickets were sold for the school play. There were  more student tickets sold than adult ...
Systems Of Equations
Will and Grace share a room. If the monthly rental is P11,50 and Will pays twice as much as ...
Systems Of Equations
The nickels and dimes fell on the floor. There were 12 more nickels than dimes, and the total value of the coins was $5.10...
Systems Of Equations
Find the length and width of a rectangle lot with a perimeter of 70 meters if the length is 5 meters more than the width
Systems Of Equations
The drama club sold a total of 370 tickets to their spring production. Adult tickets cost $8 each and student tickets cost $5 each. If the amount sold was $2540...
Logarithmic Equations
how many times stronger is an earthquake which measures 6 on the Richter scale than one which measures 5.5
First Degree Linear Equations
a number contains 2 digits. the units digits is twice than the ten's digit. if the number is inverted the new number is 39 more than the original ...
Solving Equations
The base of a triangle exceeds the height by 4 inches. The area of the triangle is 30 square ...
Algebraic Equations
an insurance agent receives a 12% fee on each new policy payment and a 3% fee on each renewal payment.  If the agent received $1350 on total payments of $26250...
Quadratic Equations
A boat travels 12 km upstream and back in 1 hour 45 minutes. If the speed of the current is 3 km/h ...
Linear Equations
A person invests $36,000, partly at 5%, partly at 6%, and the remainder at 6.5%. The total annual interest is $2,190. Three times the amount invested at 6% equals the amount invested at 5% and 6.5% ...
Systems Of Equations
The sum of two integers in ten. Three times the larger integer is three less than eight times the smaller ...
Algebraic Equations
the width of a photograph is 4 cm more then three tenths of the lenth. if the width is 13 cm find the length
Systems Of Equations
my son's basketball team charges adults $3.50 and children $1.50 for admission there was 220 person that attended and they made $535.50...
Systems Of Equations
A shop builds chairs. Employees use two methods of building chairs. Method one takes 0.5 hours and the materials cost $6.  Method two takes 1.5 hours and the materials cost $5. Next week they plan to spend 100 hours in labor and $446 hours in materials to build ...
Systems Of Equations
For their class play, Ron sold student tickets for $2.00 each and Kathy sold adult tickets for $5.50 each. If their total revenue for 29 tickets was $121.00...
Systems Of Equations
a certain two-digit number has a value that is 2 more than 6 times of its digits. the tens digit is 1 more than the unit digit. find the number
Algebraic Equations
Theater sold 480 tickets.  Floor seats were 30.00.  Balcony seats were 24.00. total amount collected for 480 tickets was 13200...
Systems Of Equations
Find the value of two numbers if their sum is 12 and their difference is 4.
Systems Of Equations
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the
supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60
and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks
and spoons. They sold the finished products for a total of $147.20...
Systems Of Equations
The difference of two numbers is 3. Thier sum is 13...
Systems Of Equations
An amount of 40% acid solution is to be mixed with enough 10% acid solution to make 25% acid solution. If there are to be 20 litres of the final ...
Quadratic Equations
the sum of two numbers is 10 and the sum of their squares is 58. Find the numbers
Systems Of Equations
There are twice as many girls as boys on a basketball team.  The girls average 18 points per game.  The boys average 17 points per ...
Systems Of Equations
At the book fair, hard cover books cost $7 each and paperback books cost $2 each. Dorothy spent $40 on books at the ...
Systems Of Equations
An investment of $110,000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investment was $8280. The interest from the first investment was 2 times the interest from the ...
Systems Of Equations
Juan goes to a bank and gets change for a
$50 bill consisting of all $5 bills and $1 bills. There are
22 bills in ...
Fractional Equations
roger has 2.30 in dimes and nickles. There are 5 more dimes than nickels, find the number of each kind of coin that he has
Systems Of Equations
An individual wants to use milk and orange juice to increase the amount of calcium and vitamin A in her daily diet. An ounce of milk contains 38 milligrams of calcium and 56 micro grams of vitamin A. An ounce of orange juice contains 5 milligrams of calcium and 60 micro grams of vitamin A. How many ounces of milk and orange juice should she drink each day to provide exactly 550 milligrams of calcium and 1,200 micro grams of vitamin A
Systems Of Equations
mr. Towne takes loans from two banks. He borrows $300 more from the bank which charges 7% interest than from the bank which charges 8% interest. If his interest payments for one year are $126...
Systems Of Equations
An accountant has money in three accounts that pay 9%, 11%, and 12% in annual interest. He has twice as much invested at (% as he does at 11% and three times as much invested at 12% as he does at 11%. If the total interest from the three accounts is $520 for the year, how much is invested at each ...
Quadratic Equations
the product of two consecutive integers is 156 .  Use the equation n(n+1)=156 to find the integers
Linear Equations
a magazine subscription service sold 6,2620 subscriptions in February and 14,211 subscriptions in June.
a.   Assuming the number of subscriptions S in terms of the month M.  (Hint: Let the month of January be 1.  Set the rest of the month values based on the starting point.)
b.  Based on your equation in part ...
Solving Equations
a wine maker has two large casks of wine. One wine is 8% alcohol, and the other is 18% ...
Systems Of Equations
milk and cream contain different percents of butter fat ...
Linear Equations
I have total of Rs 300 in coins of demonitions Re1, Rs 2, Rs 5. The no. of Rs 2 coins is 3 times the no of Rs 5 coins.Total no. is 160...
Rational Equations
twice a number plus its reciprocal equals 3...
Systems Of Equations
Big Video offers a apecial discount card that costs $9.99 for one year.  With the discount card, each video rental costs $2.49.  A discount card from Main Street Video costs $20.49 for one year.  With the Main Street Video discount card, each video rental costs $1.79...
Systems Of Equations
Caroline has eight more quarters than dimes. All together she has $4.10...
Solving Equations
The length of a rectangleis 4ft longer than twice the width if the perimeter is 50ft find the length and width
Systems Of Equations
Talent show tickets are $3 for adults and $2 for students.  Ticket sales of at least $600 are needed to cover the costs.  At least 5 times as many students as adults attended.  Write a system ot equations to find the number of adult and student tickets that need to be sold.  Let x represent the number of adult ...
Fractional Equations
joey knows a route from 10th and maple to 29th and cedar that is 4/1/2 inches long on his map. the scale of his map is 3/4inch to one mile. which equation could be used to how many long joeys route is
Line Equations
Write the equation of a line in slope intercept form: 3x+2y=6
Systems Of Equations
Mindy received 20 pear trees and 10 apple trees for $450. A week later she bought 30 pear tears and 20 apple trees for $700...
Linear Equations
On a certain day two inspectors, A and B, employed by a factory, were inspecting a lot of manufactured articles. In the morning A had inspected 1500 articles before B started in. During the remainder of the morning they inspected 4000 more, A working 4 hours altogether. In the afternoon A worked 4 hours and b 2 hours, in which time they inspected 5200 ...
Systems Of Equations
Write a system of equations to solve the following problem. Let c be the number of child tickets and a be the number of adult tickets.
Each child ticket for a ride costs $2, while each adult ticket costs $6. If the ride collected a total of $148, and 38 tickets were sold, how many of each type of ticket were sold
Fractional Equations
BOY BOUGHT 3/8 OF HIS MONEY FOR BOOK AND 1/2 OF HIS REMAINING MONEY OF $6.25...
Systems Of Equations
galina spent $3.60 for stamps to mail packages.  some were 30 cent stamps and the rest were 20 cent stamps.  the number of 20 cent stamps was 2 less than the number of 30 cent ...
Systems Of Equations
The sum of two numbers is 62. Their difference is 16. Find the numbers
Systems Of Equations
robert is twice as old as john. three years ago the sum of their ages was 27. find the age of each boy now
Systems Of Equations
a tank was being filled with water at the rate of 1.5 gal/min. by 10 a.m., it contained 50 gal. several minutes later, the water going into the tank was turned off, the plug was pulled, and the tank drained at the rate of 2.3 gal/min. the tank was empty at 11:08 a....
Linear Equations
the greater of two number is 4 less than thrice the smaller nuber, and their sum is 32...
Systems Of Equations
A total of  753 tickets were sold for the school play. There were 53 more student tickets sold than adult ...
Systems Of Equations
Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 kn/h while flaying back into the same wind. Find the speed of the wind and the speed of the plane in still air
Solving Equations
Rudy must play 12 commercials during his 1-hr radio show.
Each commercial is either 30 sec or 60 sec long.
If the total commercial time during that hour is 10 ...
Systems Of Equations
In a family there are two cars. In a given week, the first car gets an average of 20  miles per gallon, and the second car gets 25  miles per gallon. The two cars combined drive a total of 1225  miles in that week, for a total gas consumption of  ...
Systems Of Equations
Suppose that your family is going to buy a new air conditioning unit.  One brand costs $1800 to buy, and $60 a month to operate.  A more expensive brand costs $2600 to buy.  But it is more efficient, and costs only $50 a month to ...
Quadratic Equations
A group of office workers plans to share equally the $100 cost of giving a baby shower for a coworker.  If they can get six more people to share the cost then the cost per person will decrease by $15...
Systems Of Equations
During a football game, the parents of the football players sell pretzels and popcorn to raise money for new uniforms. They charge $3.00 for a bag of popcorn and $2.00 for a pretzel. The parents collect $112.00 in sales during the game. They sell twice as many bags of popcorn as pretzels. How many bags of popcorn do they ...
Systems Of Equations
there are twice as many girls in a classroom. When three new girls join the class will have 24 ...
Systems Of Equations
tom had 30 pens. he gave 10 ...
Systems Of Equations
A total of 384  tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold ...
Systems Of Equations
A total of  512 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold ...
Systems Of Equations
Tina worked 14 hours last week and earned a total of $96 before taxes.  Her job as a lifeguard pays $8 per hour, and her job as a cashier pays $6 per ...
Systems Of Equations
Billy found $3.26 in quarters and pennies. There were 12 more quarters than ...
Radical Equations
A repairman purchased several furnace-blower for a total cost of $210. If his cost per motor had been $5 less, he couldhave purchased 1 additional ...
Solving Equations
find the largest of two consecutive even integers such that three times the larger added to the small is 54.
Systems Of Equations
The Madison Local High School marching band sold gift wrap to earn money for a band trip to Orlando,Florida .The gift wrap in solid colors sold for $4.00 per roll ,and the print gift wrap sold for $6.00 per roll .The total number of rolls sold was 480 ,and the total amount of money collected was $2340...
Solving Equations
The number of computers produced by a certain factory varies jointly as the number of workers and the time they work.  400 workers can produce 120 cmputers in 2 hours, how many computers can 480 workers produce in 3 hours
Systems Of Equations
The perimeter of a triangle is 55 cm. The measure of the shortest side is 8 cm less than the middle side. The measure of the longest side is 1 cm less than the sum of the other two ...
Polynomial Equations
Identify the polynomial written in completely factored form
8x^3 (-) 42^2 (+) 9x (+) 5
Systems Of Equations
Mary has $5000 to invest into two accounts paying simple interest. The first accounts pays a guaranteed 8% simple interest and the second account pays a guaranteed 10% simple ...
Quadratic Equations
Doy and his son can do a job in 4 and a half days. After they have worked for 3 days, Doy got sick, and the son finished the task in 6 more ...
Quadratic Equations
A gardner sets 180 plants in rows.  Each row contains the same number of plants.  If there are 40 more plants in each row, the gardner would need 6 fewer ...
Solving Equations
The amount of oil used by a ship traveling at a suniform speed varies jointly with the distance and the square of the speed. If the ship uses 200 barrels of oil in traveling 500 miles at 40 miles per ...
Systems Of Equations
The sum of two integers is 295,and the larger number is 40 more than 2 times the smaller ...
Systems Of Equations
Jim has 8 M&Ms and he wants 14...
Algebraic Equations
The perimeter of a rectangle is 204 inches. The length exceeds the width by 42 ...
Systems Of Equations
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is ...
Quadratic Equations
THE perrimeter of a rectangle is 34cm. given that the diagonal is of length 13cm, and that the width is xcm, derive the equation x squared - 17x + 60 = 0...
Systems Of Equations
a class of 195 students went on a field trip. They took 7 vehicles, some cars and some ...
Systems Of Equations
Tasty Bakery sells three kinds of muffins: chocolate chip muffins at 40 cents each, oatmeal muffins at 45 cents each, and cranberry muffins at 50 cents each. Charles buys some of each kind and chooses twice as many cranberry muffins as chocolate chip muffins. If he spends $6.45 on 14 muffins, how many chocolate chip muffins did he buy
Rate Equations
the maximum number of units a worker can produce in a day is 30. the learning curve for the number of units N produced per day after a new employee has worked T days is N=30(1 - e^kt). after 20 days on the job, a new employee produces 12 ...
Systems Of Equations
A group of people go to a play.  Adult tickets cost $8 and tickets for the children under twelve years of age cost $5.  There are 4 children under twelve. The group spends $44 for all the ...
Systems Of Equations
Juan goes to a bank and gets change for a
$100 bill consisting of all $10 bills, $5 bills, and $1 bills. There are
34 bills in ...
Systems Of Equations
Juan goes to the bank to get change for $50 bill consisting of all $5 and $1 bills.  There are 22 bills in ...
Algebraic Equations
Kristen owes $1200 to her bank. She earns $150 each ...
Systems Of Equations
Juan goes to a bank and gets change for a $50 bill consisting of all $5 bills and $1 bills. There are 22 bills in ...
Systems Of Equations
one number is 3 less than a secong number. twice the second number is 48 more than the 5 times the first. find the two numbers
Systems Of Equations
A total of  515 tickets were sold for the school play. There were 65 more student tickets sold than adult ...
Systems Of Equations
A total of  tickets were sold for the school play. There were  more student tickets sold than adult ...
Radical Equations
Suppose that a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answer in the form p=mx+b. (hint: write an equation using two points in the form (x, p)
Quadratic Equations
the park is twice as long as it is wide.its length is 3...
Systems Of Equations
Advance tickets to a show cost $35  , and same-day tickets cost $20 . The total number of tickets sold was $50  for total receipts of $1225  ...
Polynomial Equations
an object is dropped from a hot-air balloon 1296 feet above the ground. the height of the object is given by h=-16(t-9)(t+9)
where the height h is measured in feet, and the time t is measured in ...
Rate Equation
nine days ago the area covered bymold on a peice of breadwas 3 square inches.today the mold covers 9 square inches.find the rate of change in the molds area
Systems Of Equations
The University of Michigan's basketball team made 48 field goals in a recent game; some were 2-pointers and some were 3-...
Rate Equation
An airplane travels 800 miles in 120 ...
Systems Of Equations
A farmer raises wheat and soybeans on 215 acres. If she wants to plant 31 more acres in wheat than in ...
Systems Of Equations
kristin spent $131 on shirts. fancy shirts cost $28 and plain shirts cos t$15...
Systems Of Equations
the perimeter of a rectangle is 58 cm. the width is 7 cm. less than three times the ...
Systems Of Equations
supose you are staring an office cleaning service.  you have spent $315 on equipment.  to clean the office you use $4 worth of supplies.  you charge $25...
Systems Of Equations
two drinks cost you $4.50. one drink was half the price of the other. find the price of each drink
Systems Of Equations
Farmer John is buying cows for $10, pigs for $3, and chickens for .50 cents. He has $100 to spend and needs 100 animals. He needs at least one of each ...
Systems Of Equations
a vendor at a county fair wishes to invest $300 in his milkshake booth and would like his total revenue to be $900. He figures he can make a small shake for $ 0.40 anda large shake for $0.68. He plans to sell a small shake for $1.25 and a large shake for $2.00. How many of each size shake will he need to make and sell to realize his revenue
Systems Of Equations
the length of a rectangular field is 24 meters. this is 3 meters less than twice the width. find the width
Literal Equations
a rectangle is 1.5 times as long as it is wide. The perimeter of the rectangle is 75 inches. Find the width of the rectangle
Systems Of Equations
A total of 548 tickets were sold for the school play. The number of student tickets sold was three times the number of adult tickets sold ...
Systems Of Equations
The sum of two numbers is 25. And their differnece is 7...
Systems Of Equations
The sum of two numbers is 25.  If three times the smaller number is subtracted from twice the larger number, the result is 10...
Systems Of Equations
the sum of the squares of two consecutive even intergers is 244. find the interger
Systems Of Equations
A jar held 450 coins in nickels and quarters. Their value altogether was $62.50...
Systems Of Equations
llida went to minewaska sate park one day this summer.all of the people at the park were either hiking or bike riding.there were 178 more hikers than bike riders.if there were a tottal of 676 people at the ...
Systems Of Equations
A rental car agency charges $16 per day plus 15 cents per mile to rent a certain car. Another agency charges $19 per day plus 9 cents per mile to rent the same car. How many miles will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency? (round your answer to the nearest hundredth of a ...
Systems Of Equations
You are making mosaic tiles from three types of stained glass. You need 6 square feet of glass for the project and you want there to be as much iridescent glass as red and blue glass combined. The cost of the sheet of glass having an area of 0.75 square foot is $6.50 for iridescent, $4.50 for red, and $5.50 for blue. How many sheets of each type should you purchase if you plan to spend $45 on the project?
Let x=number of sheets of iridescent glass; y=number of sheets of red glass; z=number of sheets of blue glass
Systems Of Equations
The sum of two numbers is 92. Their difference is 20...
Systems Of Equations
karlita is preparing a special dinner for her parents. she is making mango flavored catfish.she has to go to the supermarket to buy the fish and mangos. the mangos were $1.50 per pound, and the fish was $3.50 per pound. how much fish and mangos did she buy if she spent $25...
Systems Of Equations
An Infinity GS35 travels at an average speed of 50 mph. The Lincoln Aviator travels at an average speed of 40 mph. In the time it takes the Lincoln to travel a certain distance, d, the Infinity travels 100 miles ...
Solving Equations
Adult tickets for a basketball game are $5 and children's $4. At the game 300 seats were filled. If the revenue from the ticket sales was $1410...
Systems Of Equations
the units digit of a two-digit number is one less than three times the tens digit. if the sum of the digits is 11, find the number
Algebraic Equations
Two tractors are removing a tree stump from the ground. The tractors are pulling at a right angle from each other with forces A and B, respectively. The resulting force, R is given by the formula: R = sqrt A^2 + B^2. Tractor A exerts a force of 300 pounds. If the resulting force is 500 ...
Solving Equations
The winner of an election for class president won by a vote of 8 to 5 with 992 ...
Systems Of Equations
Coffee worth $2.95 a pound was mixed with coffee worth $3.50 a pound to produce a blend worth $3.30 a ...
Systems Of Equations
A total of 816 tickets were sold for the school play. There were 66 more student tickets sold than adult ...
Systems Of Equations
the U.S senate has 100 members. After a Certain election, there 12 more democrats than repubilcans, with no other parties ...
Systems Of Equations
The expensive ones cost $7 each, whereas the worthless ones cost $2 each.  Alex spent $111 and bought three more expensive ones than worthless ...
Systems Of Equations
Using only 32-cent and 20-cent stamps, Charlie put $3.36 postage on a package he sent to his sister. He used twice as many 32-cent stamps as 20-cent ...
Systems Of Equations
Flying with the wind a plane went 183 km/h. Flying into the same wind plane only went 141 km/...
Systems Of Equations
two sides of a triangle are equal. each of the two equal sides is 5 in more than the third side. the perimeter is 35 ...
Systems Of Equations
The length of a rectangle is 2 feet more than twice the width. The perimeter of the rectangle is 40 feet. Find the length and width of the rectangle. (Hint: First write the length using an algebraic expression that contains width. Then use the formula for the Perimeter = 2(width + length )
Systems Of Equations
the sum of the squares of two consecutive positive integers is 244. find the numbers
Systems Of Equations
The number of girls at Sky High School is 60 greater than the number of boys. If there are 1250 students all ...
Systems Of Equations
pops cycle shop sells bicycles and tricycles. the number of bicycles is 1 less than 5 times the number of tricycles. all the bicycles and tricycles together have a total of 154 wheels. how many bicycles are ...
Systems Of Equations
how much of each of 30% alcohol and 80% alcohol should be added together to get 5 liters of mixture that is 50% alcohol
Systems Of Equations
The difference f tw numbers is 3. Thier sum is 13...
Systems Of Equations
A farmer has 50 animals, chickens and pigs. between the animals there are 144 legs. assuming no amputees or mutations, how many are there of each ...
Systems Of Equations
The houses on the north side of Perry Street are consecutive odd numbers. Tom and Voula are next-door neighbors and the sum of their house numbers is 524...
Systems Of Equations
The measure of the largest angle of a triangel is 12 less than the sum of the measures of the other two.  The smallest angle measures 58 less than the ...
Equations
A rectangular storage container with an open top is to have a volume of 70 cubic meters. The length of its base is twice the width. Material for the base costs 70 dollars per square meter. Material for the sides costs 7 dollars per square ...
Systems Of Equations
In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 35 miles per gallon. The two cars combined drive a total of 2450 miles in that week, for a total gas consumption of 65 ...
Systems Of Equations
Yvonne sold 15  tickets to a play. Some of the tickets were adult tickets that cost $5 each and some were children tickets that cost $2 each. All together Yvonne has $60...
Systems Of Equations
the sum of the digits of a two-digit number is 8.  The value of the number is 2 less than 11 times the tens digit.  Find the number
Systems Of Equations
Roast beef has 25g of protein and 11g of calcium per serving. A serving of mashed potatoes has 2g of protein and 25g of ...
Equations
the length of a rectange is 3 ft less than twice the width. the area of the rectange is 135ft sq.  find the length oand width of the triangle
Solving Equations
She can paint fence in 5 hours with tom 3 hours. How many hours for just tom
Solving Equations
a companys emplayees are working to create a new energy bar. they would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydreates and protein in the bar to supply the athlete. they want a total of 31 carbohydreates and 23 grams of protein to make the bar sufficeint. using the following table, create a system of tw equations and two unknowns to find how many tablespoons of each ingreident the bar will need. solve the sustem of equations using matirces
Systems Of Equations
a two digit number is 3 times the sum of its digits.  The number is also 45 less than the number formed by reversing the digits.  find the number
Quadratic Equations
we have to find the maximum number of pieces for each number of certain slices
Systems Of Equations
Total revenues from sales of recorded R&B and pop music amounted to $8.4 billion. R&B music brought in five times as much revenue as pop ...
Systems Of Equations
A 10% solution of isoproply alcohol is mixed with a 20% solution of isopropyl alcohol to produce 40 liters of a 17% ...
Quadratic Equations
the square of a number decreased by 4 times the number equals 21...
Systems Of Equations
The Cougars football team did a fund raisers before the season. There were twenty players on the team. Each player was responsible for selling a box of chocolate bars and a box of chocolate covered almonds. The chocolate bars sold for $2 each and the chocolate covered almonds sold for $3. The teams goal was to raise $3000...
Systems Of Equations
Several students decide to start a T-shirt company. After inital expenses of $280, they purchase each T-shirt wholesale for $3.99. They sell each T-shirt for $10.99...
Systems Of Equations
jim has 2000 kg of cocaine.  He wants to dilute 10% for distribution on the ...
Rate Equation
nine days ago the area covered by mold on a peice of bread was 3 square inches.today the mold covers 9 square inches.find the rate of change in the molds area
Systems Of Equations
A shipment of tv sets, some weighing 30 kg each and the others weighing 50 kg each, has a total weight of 880kg. If there are 20 tv sets all ...
Systems Of Equations
two people earned $2300 together. One earned $500 more than the ...
Systems Of Equations
Three times a first number is 2 more than the opposite of a second number. The difference of four times the first number and the second number is 5...
Systems Of Equations
The tens digit of a two digit positive number is 2 more than three times the unit's digit.  If the digits are interchanged, the new number is 13 less than half the given number.  Find the given integer
Equations
A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the width. Material for the base costs 10 dollars per square meter. Material for the sides costs 8 dollars per square meter. Find the cost of materials for the cheapest such container. A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the width. Material for the base costs 10 dollars per square meter. Material for the sides costs 8 dollars per square ...
Systems Of Equations
The total value of the quarters and dimes in a coin bank is $6.90. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.80...
Systems Of Equations
As a business owner there are many decisions that you need to make on a daily basis, such as ensuring you reach the highest production levels possible with your company’s products. Your company produces two models of bicycles: Model A and Model B. Model A takes 2 hours to assemble, where Model B takes 3 hours to assemble. Model A costs $25 to make per bike where Model B costs $30 to make per bike. If your company has a total of 34 hours and $350 available per day for these two models, how many of each model can be made in a day?

    * Solve the equations for the different bicycle models that can be made daily with the desired technique learned (graphing, substitution, elimination, matrix)...
Systems Of Equations
At the latest sporting event on campus, the ticket takers counted 5,412 attendees for a total take of $18,216 in ticket sales. There were 3 children for every 2 adults and there was one senior for every 24 children.  If the price per ticket is $4/Adult, $3/Child, and $2/Senior, how many adults, ...
Systems Of Equations
at an IMAX theater, the giant rectangular movie screen has a width 26 feet less than its length. if its perimeter is 332 ...
Systems Of Equations
The number of girls at Sky High School is 60 greater than the number of boys.  If there are 1250 students all ...
Algebraic Equations
The sum of two numbers is 35. Three times the larger number is the same as four times the smaller ...
Systems Of Equations
The little town arts center charges $23 for adults, $13 for senior citizens, and %8 for children under 12 for their live performances on sunday afternoon. this past sunday, the paid revenue was $12843 for 896 tickets sold. there were 44 more children than ...
Systems Of Equations
24-Karat Gold is pure gold, 12-karat gold is half gold, and 17-karat gold is an alloy that consists of 17 parts gold and 7 parts of another metal. Supoose that both pure gold and 14-karat gold are ...
Literal Equations
eight less than three times a number is 36 more than one-fourth of the number. find the number
Systems Of Equations
john pilots small planes for a living in a farming region. he earns $30 an hour for dusting crops and $45 transporting cargo. He works 40 hours a week and wants to earn $1600.  How many hours should he spend on each job to earn $1600
Algebraic Equations
Shaq shot three times as many baskets as Duane and Duane shot four more baskets than Duncan.  If they shot a total of 96 ...
Literal Equations
jake ar A,and he was tolk in the town in 290 m/hr as b.find the number
Fractional Equations
A toy savings bank contains $17.30 consisting of nickels, dimes and quarters.  Thenumber of dimes exceeds twice the number of nickels by 3, and the number of quarters is 4 less than 5 times the number of ...
Systems Of Equations
Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21...
Algebraic Equations
candy worth $1.25 a pound were mixed with candy worth $1.50 a pound to produce a mixture worth $1.35 a ...
Systems Of Equations
a metal alloy is 25% copper. Anothermeatal alloy is 50% ...
Systems Of Equations
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60
and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20...
Solving Equations
The length of a rectangle is 4 less than twice the width. If the perimeter is 244, find the length, width
Systems Of Equations
The sum of the digits of a two-digit number is 4. If the order of the digits is reversed, the result is a numberthat exceeds the original number by 18...
Polynomial Equations
1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).

a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).

A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.

b. Substitute the result you found from part a into the equation R = xp to find the revenue equation. Provide your answer in simplified form.

The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s cost for a set of tile is $6 each. Let x represent the number of tile sets.

c. If b represents a fixed cost, what value would represent b?

d. Find the cost equation for the tile. Write your answer in the form C = mx + b.

The profit made from the sale of tiles is found by subtracting the costs from the revenue.

e. Find the Profit Equation by substituting your equations for R and C in the equation  . Simplify the equation.

f. What is the profit made from selling 20 tile sets per month?

g. What is the profit made from selling 25 tile sets each month?

h. What is the profit made from selling no tile sets each month? Interpret your answer.

i. Use trial and error to find the quantity of tile sets per month that yields the highest profit.

j. How much profit would you earn from the number you found in part i?

k. What price would you sell the tile sets at to realize this profit (...
Systems Of Equations
a bank teller has 73 bills in $5, $10, $20 denominations. the number of $5 bills is 1 more than 6 times the number of  $10 bills. if the total value of the bills is $945...
Systems Of Equations
The sum of the digits of a two-digit number is 13. The number is 27
more than the number formed by interchanging the tens digit with the
ones ...
Systems Of Equations
the manager of a movie theater found that Saturday's total sales were $3675. he knew that a total of 650 tickets were sold. Adult tickets cost $7.50 and child tickets cost $4.50...
Systems Of Equations
Four oranges and five apples cost $3.56. Three oranges and four apples cost$2.76...
Quadratic Equations
suppose that an object is 100pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 mile from the center of the earth.)
Solving Equations
Johnny buys a pair of jeans and a shirt for $60. The jeans cost three times as much as the ...
Solving Equations
A total of $560,000 is budgeted for the construction of a roadway.  The pavement costs twice the amount of the base material, and the sidewalk costs one-fourth the amount of the pavement.  Using these ...
Literal Equations
Eight less than three times the number is 36 more than one-fourth of the number. Find the numbers
Systems Of Equations
Three years from now a mother will be twice as old as her daughter. Seven years ago, she as three times as old as her ...
Solving Equations
John recently drove to visit his parents who live 840 miles away. On his way there is average speed was 24 mph faster than on his way home. If John spent a total of 24 hours ...
Quadratic Equations
Diagonal brace. The width of a rectangular gate is 2 meters
(m) larger than its height. The diagonal brace measures
6 ...
Literal Equations
Eight less than three times the number is 36 more than one-fourth of the number. Find the number
Solving Equations
the width of a rectangle is 3 meters more than one-fourth its length. the perimeter is 26 ...
Equations
Two planes travel toward each other from cities that are 780 km apart, at rates of 190 and 200 km/h.They started at the same ...
Systems Of Equations
A total of  tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold ...
Systems Of Equations
find the length of a rectangle with a perimeter of 114 meters if the length is 7 meters more than the width?
Systems Of Equations
The perimeter of a rectangle is 160ft. One fourth the length is the same as twice the width. Find the Length and the width
Quadratic Equations
the length of a rectangle is 6 inches more than it is wide. The area of the rectangle is 91 square ...
Algebraic Equations
Can you write on equation that can be used to find the temperature t based on the depth in the lake d?
Systems Of Equations
If the length of a rectangular field is 24meters. This is 3meters less than twice the ...
Solving Equations
the length of a rectangle is 7 feet less than one half the width. the area of the rectangle is 40 square ...
Systems Of Equations
When a plane flies into the wind, it can travel 3000 km in 6 hours. When it flies with the wind, it can travel the same distance in 5 ...
Systems Of Equations
Ms.Seymon invested 5400$ for one year. part at 4% and the rest at 7%. Her total interest for the year was $297...
Fractional Equations
cary spent 1/3 of his class working on fraction problems and 3/6 of his class working on algebra problems. He spent the last 10 minutes of his class reading a chapter in his ...
Systems Of Equations
Tickets for a school play cost $4 for adults and $3 dollars for children. A total of 390 tickets are sold, totalling $1380...
Fractional Equations
How much water must be evaporated from a 300 L tank of a 2% salt solution to obtain a 5% solution?
Line Equations
A company that manufactures bicycles has fixed cost of $300 per day and total costs of $4,300 per day for producting 100 bicycles per day.  The cost C is lineraly related to production of x bicycles.  Find the slope of the line joining the points associated with producting 0 and 100 ...
Systems Of Equations
you have been put in charge of of event planning for a corporation that is having a martini cocktail hour for its guests.Your boss has given you a budget of $1000 and you would like ti order Grey Goose vodka for the VIP's and Skyy vodka for the other guests. A bottle of Grey Goose costs $30 while a bottle of Skyy costs $2. you must have 36 bottles total based on the number of guests ...
Solving Equations
A 240 inch pipe is cut into two pieces. One piece is 3 times the length of the ...
Solving Equations
four times the lesser of two consecutive even integers is 12 less than twice the greater ...
Systems Of Equations
A pet store recieves a shipment of pet foods at the beginning of each month. Over a three month period, the store recieved 1770 pounds of dog food, 1165 pounds of cat food, and 365 pounds of bird seed. Write and solve a system of equations to find the number of pounds of pet food in each of the three shipments. 1st shipment 60% of dog food, 25% of cat food, 15% of bird seed. 2nd shipment 50% dog food, 35% cat food, 15% bird seed. 3rd shipment 50% dog food, 45% cat ...
Systems Of Equations
Billy likes to mix two cereals for breakfast. He wants to reduce his sugar intake without giving up Sugar-O's, his favorite cereal. Sugar-O's contains 20% sugar while Health-Nut contains 5% sugar. How much of each cereal should he eat to fill a bowl with a 25g mixture which is 10% sugar
Systems Of Equations
the sond of two numbers is 4 more than the first. The sum of the numbers is 56. find the numbers
Systems Of Equations
suppose that your family is going to buy a new air conditioning unit. One brand costs $1800 to buy and $60 a month to operate. A more expensive brand costs $2600 to buy,but it is more efficent, and costs $50 a month to ...
Systems Of Equations
J and M have $32.  J tells M, if you give me $5 we'll have the same ...
Solving Equations
Devon purchased tickets to an air show for 7 adults and 2 children. The total cost was 114 dollars. The cost of a childs ticket was 6 dollars less than the adult's ...
Systems Of Equations
At the school fair hamburgers cost $4.50 and nachos cost $3.00. If the vendor sold 37 food tickets for a total of $129...
Systems Of Equations
Deanna asked a bank teller to cash a $390 check  using $20 bills and $50 bills. If the teller gave her a total of 15 ...
Solving Equations
You invest $14,000 in stocks and bonds paying 9% and 3% annual ...
Equations
A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 5 dollars per square ...
Solving Equations
the perimeter of a rectangle is 100. the width of the rectangle is 12less than the length. find the length and width
Systems Of Equations
A small corporation borrowed $775,000 to expand its software line. Some of the money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at each rate if the annual interest was $67...
Systems Of Equations
use an equation to model and solve the problem- April buys 8books for$44...
Systems Of Equations
Museum tickets cost $5 for adults and $2 for children. one day the museum  sold 1820 passes totaling $6100 in ...
Systems Of Equations
They will be selling adult tickets for $5.00 and children's tickets for $2.00. How many tickets do they need to sell to make at least $1...
Solving Equations
Mandy and Mackenzie spent the same amount of maoney at the arcade.  They both played the same number of games.  Mandy played $0.50 games and spend $10 on refreshments.  Mackenzie played $0.75 games and spent $6 on ...
Solving Equations
One number is 4 more than thrice ...
Solving Equations
Your are choosing between two cell phone plans.  One has a $15/mo fee and $.05/min charge.  The other has a fee of $5 and charges $.07/min.  At how many minutes with the two plans cost the ...
Solving Equations
You are selling tickets for a high school basketball game. Student
    tickets cost $3 and general admission tickets cost $5. You sell 350
    tickets and collect $1,450...
Solving Equations
The length of the top of a table is 6m greater than the width. The area is 91m ...
Systems Of Equations
the sum of two numbers is 47. The sum of the larger number and twice the smaller number is 64...
Systems Of Equations
the sum of two numbers is 18. If twice the smaller number is 6 more than the ...
Systems Of Equations
A chemical storeroom has a 62% alcohol solution and a 39% alcohol ...
Equations
jill wants to create a rectangular garden. she purchased a box  of  fencing to go around  her garden. each piece of  fencing  is 1 ft  long, and  the box  contains a total of 24 pieces.if jill uses all of the ...
Systems Of Equations
Kristen spent $131 on shirts. Fancy shirts cos $28 and plain shirts cost $15...
Solving Equations
A long distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute.  Another long distance company has a monthly fee of $9.95 and charges a rate of $0.03 per ...
Solving Equations
the stoppint distance of d of a car after the breades are applied varies directly as the square of the speed r. If a car travelling 30 mph can stop in fo ...
Solving Equations
FIVE MORE THAN TWICE A NUMBER IS -13.FIND THE NUMBER
Equations
the sum of a number y an 17 is at most 36
Solving Equations
A rectangular room is 7 feet longer than it is wide. If the area of the room is 228 square ...
Equations
A total of 312 tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold ...
Solving Equations
A 240-in pipe is cut into two pieces. one piece is three times the length of the other find the length of the pieces
Solving Equations
the length of a rectangle is a 5 cm less than three times its width the perimeter is 86 cm find the length and width
Equations
The perimeter of a rectangle is 202 inches. The length exceeds the width by 61 ...
Equations
If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 ...
Algebraic Equations
A man bought a certain number of tin milk for 126kobo. he kept 4 tins for his own use and sold the rest at 3kobo more per tin than he pay for them, making a total profit of 14kobo on the ...
Equations
A 90-meter path surrounds a rectangular garden. The width of the garden is two-thirds its ...
Equations
a theater sells two types of tickets to their plays. Childrens tickets and adult tickets.  For todays performance they have sold total of 930 tickets.  They have sold 4 times as many childrens tickets as adult ...
Equations
Tickets to play were $4 for children and $5 for adults. if the theater sold 46 tickets for a toal of $200...
Equations
While on a four-week hiking trip in the
mountains, the Tryon family washed 11 loads of clothes
at The Mountain View Laundry. The 20-lb capacity
washing machine costs $1.50 per load while the 30-lb
costs $2.50. Their total laundry expense was $20.50...
Equations
You have one board that measures 3 feet and 7 inches. Another board measures 4 ...
Equations
a child's coin bank contains nickels, dimes, and aurters. there are three times as many nickels as dimes and there are five more quarters than nickels. the total value of the coins in the bank is $6.25...
Equations
if a number multiplied by 6, and 5 is subracted from the product, the result is 19...
Equations
a picture frame measures 70 cm by 60 cm. 600 cm^2 of picture shows inside the ...
Equations
two cars travel in opposite directions, starting from th same place at the same time. one travels at an average rate of 48 miles an hour and th other averages 55 miles an ...
Equations
Tickets for the play cost $4.50 for adults and $3.00 for kids.  If one hundered people attended and $360 was collected from ticket ...
Equations
A rectangular storage container with an open top is to have a volume of 40 cubic meters. The length of its base is twice the width. Material for the base costs 40 dollars per square meter. Material for the sides costs 4 dollars per square meter. Find the cost of materials for the cheapest such conta
Equations
a 60-foot pipe is divided into 3 pieces. One piece is twice as long as the shortest piece and the 3rd piece is 4 feet less than 5 times the shortest piece. find the length of the shortest piece
Equations
a 36-foot pipe is divided into three pieces. One piece is twice as long as the shortest piece and the thrid piece is1 foot longer than four times the shortest piece. find the lenght of the shortest piece
Equations
The Coffee Shop sells a coffee blend made from two coffees, one costing $5/lb and the other costing $6/lb. If the blended coffee sells for $5.60/lb, find how much of each coffee is used to obtain the desired ...
Equations
A rectangle table is three times as long as it is wide. If the area is 108 ft^2, find the length and the width of the table
Equations
the sum of three numbers is 163. The second number is twice the first, and the third is 15 more than the ...
Equations
Dempsey Candy company wants to make a new ...
Equations
Shelly has 2 times more dimes than nickels and she has $3...
Equations
A 50 lb. sack of bread flour will make 20 1lb. loaves of bread, and 8 pans of rolls with 120 rolls on each ...
Equations
The length of a rectangular bed is 2 feet less than 2 times its ...
Equations
The lowest point on the African continent is the Qattarah Depression in the Sahara Desert, 436 feet below sea level.  The lowest point on the North American continent is Death Valley, California, 282 feet below sea ...
Equations
Find the point on the line y = x closest to the point (3...
Equations
A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the width. Material for the base costs 13 dollars per square meter. Material for the sides costs 9 dollars per square ...
Equations
if one half of a number is 5 less than one- third of the number, find the number
Equations
a 240-in. pipe is cut into two pieces. one piece is three times the length of the ...
Equations
the perimeter of a rectangle is 242. the length exceeds the width by 45 inches .  find the length and width
Equations
Shelly is 5 years older than Michele. Four years ago the sum of their ages was 63...
Equations
the sum of the squares of two consecutive even integers is 1252...
Equations
the sum of two consecutive check numbers is 357. Find the numbers
Equations
Chelsea has to line up 48 chairs in 6 equal ...
Equations
A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 30 dollars per square meter. Material for the sides costs 8 dollars per square ...
Equations
The sum of 3 integers is 242. The second number is 3 more than twice the first and the the third number is 9 less than 5 times the ...
Equations
You have 2 weeks to read a book for English class. The book you chose has 504 pages. You plan on reading the same amount each day. How many pages should you read each day to finish in 2 ...
Equations
A rectangular storage container with an open top is to have a volume of 20 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 5 dollars per square ...
Equations
the manager of farmers delight bought a load of watermelons for $750 and priced the watermelons so that he would make $2 on each melon. when all but 100 of the melons had been sold, he broke ...
Equations
To make a 10 pound mix of M&M's and peanuts worth $3.50 a ...
Equations
medium pizza cost $10.95 and large pizza cost $14.95.  50 pizzas sold for total $663.50...
Equations
The length of a rectangle is twice the width. the area 242 yd^2. find the length and the width
Equations
a plot of ground is to be enclosded by a rectangular fence. fencing for three sides costs 8 per foot. Fencing for the fourth side costs 24 per foot. use the techniques of calculus to find the maximum area that can be enclosed for $8000
Equations
There were a total of 575 people that bought either popcorn or a candy bar at the Charolotte Eagle's men's soccer game. Each person bought only one item. The price of each bag of popcorn wa $2.50 and each candy bar was $2.00. The popcorn and candy bar sales brought in $1,275. How many bags of ...
Equations
A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 30 dollars per square meter. Material for the sides costs 2 dollars per square ...
Equations
A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 30 dollars per square meter. Material for the sides costs 3 dollars per square ...
Equations
(1 pt) A rectangular storage container with an open top is to have a volume of 80 cubic meters. The length of its base is twice the width. Material for the base costs 80 dollars per square meter. Material for the sides costs 8 dollars per square ...
Equations
a piggy bank contains $6.35 in quarters and dimes. if there are 38 coins in ...
Equations
juan earns $6 per hr on Saturday and $5 per hr after school on weekends. he worked three times as many hrs on weekdays as on saturday last week and earned $105. how many hrs did he work on saturday
Equations
A cubic container, with sides of length, x inches, has a volume equal to  x^3 cubic inches.  The height of the container was decreased and the length was increased so that the volume is now modeled by the expression
x^3+4x^2-5x

By how many feet were the height and length changed?
(Hint: Volume = length times width times height)
Equations
at a basketball game student tickets are sold for 4.50 each
A)write an equation that shows the income of y from the sale of x student tickets
B) How many student tickets must be sold to have 1125 in student sale tickets
Equations
Find the length of the side of a cubic boxwhose volume is 80 cubic feet.
Equations
Rudy must play 12 commercials during his 1-hr radio show.  Each commercial is either 30 sec or 60 sec long.  If the total commercial time during that hour is 10 ...
Equations
The perimeter of a rectangle is 88 inches. The length exceeds the width by 14 ...
Equations
Tony and Chelsea both worked hard over the summer. Together, they earned a total of $425. Tony earned $25 more than Chelsea did. How much did each of them ...
Equations
A total of  228 tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold
Equations
The Riverside Dance Theater has 47 members in its dance troupe. Each member sold 75 tickets last season. Write and equation showing how many tickets each member ...
Equations
A total of  tickets were sold for the school play. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold
Equations
A 60 foot pipe is divided into 3 pieces. one piece is twice as long as the shortest piece and the 3rd piece is 4 feet less than 5 times the shortest ...
Equations
myrtle invested 420,000 for 1 year part at 5% and part at 8%. how much was invested at 8% if the same ammount of interest was recieved from each ammount
Equations
one-half of a no. decrease by one third  of the no. is 9...
Equations
the width of a rectangular room is 4/7 of its length, x,and its perimeter is ...
Equations
A total of 378 tickets were sold for the school play.  The number of student tickets sold was two times the number of adult tickets ...
Equations
ma hs 150 coins,all nickels and dimes. he has 12 more dimes than ...
Equations
Rudy must play 12 commercials during his 1-hour long show. Each commercial is either 30 seconds or 60 seconds long. If the total time during that hour is 10 ...
Equations
The sum of two numbers is 360. Their difference is 30...
Equations
The area of jenny’s garden is one-twelfth the area of her entire yard. The area of the garden is 10 square ...
Equations
Jake is now one-quarter of his father's age and in 7 years his age will be one-third the age of his father
How many years old is Jake now?
Equations
A rectangular storage container with an open top is to have a volume of 20 cubic meters. The length of its base is twice the width. Material for the base costs 20 dollars per square meter. Material for the sides costs 4 dollars per square ...
Equations
The coin container on a bus has 10 more nickels than dimes and together the nickels and dimes are worth $3.50...
Equations
use an equation to model and solve the problem- April buys eight books for $44. Paperback books cost $4 and hardback books cost $8...
Equations
5 times the sum of 3 consecutive numbers is 1185. Find the 3 numbers
Equations
A rectangular storage container with an open top is to have a volume of 50 cubic meters. The length of its base is twice the width. Material for the base costs 50 dollars per square meter. Material for the sides costs 4 dollars per square ...
Equations
In a basketball game, Will scored 26 points, consisting only of three-point shots and two-point shots. He made a total of 11 ...
Equations
The perimeter of a rectangle is 250 inches. The length exceeds the width by 57 inches. Find the length and the width
Equations
P=15+1/2D now find the depth of a diver when the pressure on the diver is 45 pounds per square inch.
Equations
A certain molecule contains twice as many atoms of hydrogen as oxygen and one more atom of carbon than hydrogen. If there are 21 atoms altogether in the ...
Equations
Investments. William opened two investment accounts for his grandson’s college fund. The first year, these investments, which totaled $18,000, yielded $831 in simple interest. Part of the money was invested at 5.5% and the rest at 4%. How much was invested at each rate?


.055x + (18,000 - x).04 = 831

.055x + 720 - .04x = 831

.015x = 111

x = 7,400

$7,400 was invested at 5.5%
$10,600 was invested at 4.0%

Radio Airplay. Rudy must play 12 commercials during his 1-hr radio show. Each commercial is either 30 sec or60 sec long. If the total commercial time during thathour is 10 ...
Equations
82. Diagonal brace. The width of a rectangular gate is 2 meters
(m) larger than its height. The diagonal brace measures

6 ...
Equations
The machine cuts equal-sized squares measuring 2 inches on a side from each corner of the sheet, and then shapes the plastic into an open box by turning up the sides. If each box must have a volume of 242 cubic ...
Equations
A rectangular storage container with an open top is to have a volume of 14 cubic meters. The length of its base is twice the width. Material for the base costs 11 dollars per square meter. Material for the sides costs 9 dollars per square ...
Equations
Frank’s Specialty Coffees makes a house blend from two types of coffee
beans, one selling for $9.05 per pound, and the other selling for $6.25 per
pound. His house blend sells for $7.37 per pound. If he is using 9 lb of
the $6.25/lb beans, how many pounds of the $9.05/lb beans does he need
to make his house blend
Equations
There were a total of 575 people that bought either popcorn or a candy bar at the Charolotte Eagle\'s men\'s soccer game. Each person bought only one item. The price of each bag of popcorn wa $2.50 and each candy bar was $2.00. The popcorn and candy bar sales brought in $1,275. How many bags of ...
Equations
Shoes cost $20 a pair and boots cost $60 dollars a pair. Arlene and Jerry spent $8000 and bought 3 times as many boots as ...
Equations
A company has determined that the profit, in dolalrs, it can expect form the manufacture and sale of x tennis racquets is given by P=-0.01x^2+168x-120 How many racquets should the company manufacture and sell to earn a profit of $518...
Equations
A rectangular storage container with an open top is to have a volume of 60 cubic meters. The length of its base is twice the width. Material for the base costs 60 dollars per square meter. Material for the sides costs 8 dollars per square ...
Equations
A collection of 64 c coins containing only nickels and dimes is worth $4.50...
Equations
A group of friends decides to buy a vacation house for $210,000, sharing the cost equally. One of the friends has to drop out of the deal.  This raises the price for htose remaining in the group by $5000 a ...
Equations
a total of 395 tickets were sold to the school play. there were 55 fewer tickets student tickets sold than adult tickets. How many adult tickets were sold
Equations
A 36 foot pipe is divided into three pieces. One piece is twice as long as the shortest piece, and the third piece is 1 foot longer than four times the shortest piece. find the length of the shortest piece
Equations
Jim needs to rent a car for a day. He has a choice of 3 different companies.  American car rental charges $25 per day plus $0.35 per mile. Tommy's car rental charges $35 per day plus $0.15 per mile. Northeast car rental charges $50 per day plus $0.10 per ...
Equations
A machine cuts equal-sized squares measuring 2 inches on a side from each corner of the sheet, and then shapes the plastic into an open box by turning up the sides. If each box must have a volume of 242 cubic ...
Equations
A community center sells a total of 301 tickets for a basketball game.  An adult ticket costs $3. A student ticket costs $1. The sponsors collect $487 in ticket ...
Equations
The cost of 150 brochures is $29 and the ost of 200 brochures is $35...
Equations
130 individual slippers were made. Twice as many slippers were made for bats than ...
Equations
A rectangular storage container with an open top is to have a volume of 10 cubic meters. The length of its base is twice the width. Material for the base costs 10 dollars per square meter. Material for the sides costs 3 dollars per square ...
Equations
you need to put a fence around a rectangular garden that has a perimeter of 64 feet. The width is 12 feet less than the length. Find the length and width of the garden using an equation
Equations
a rectangular storage container with an open top is to have a volume of 10 m^3. The length of its baed is twice the width. material for the base costs 10 dollars per square meter. Material for the sides costs 6 dollars per square meter. Find the costs of the materials for the cheapest such container
Equations
a boat travels 30 miles downstream in 15 ...
Equations
a famer want to bulid fece to  enclose an area 8 meter long by 7 meter wide.how many meter of fencing she need
Equations
Rudy must play 12 commercials during his 1-hr radio show.  Each commercial is either 30 sec or 60 sec long.  If the total of commercial time during that hour is 10 ...
Equations
Rudy must play 12 commercials during his 1 our radio show.  Each commercial is either 30 sec or 60 sec long.  If the total commercial time during that hour is 10 ...
Equations
A rectangular storage container with an open top is to have a volume of 50 cubic meters. The length of its base is twice the width. Material for the base costs 50 dollars per square meter. Material for the sides costs 3 dollars per square ...

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This Algebra page lists word problems on equations topic.