# 9th Grade Math Systems Of Equations Word Problems

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Systems of equations in ninth grade.

Systems of equations in tenth grade.

# Systems Of Equations Word Problems

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# Ninth Grade: Systems Of Equations Word Problems

Simone has 16 player on her soccer team
Simone has 16 player on her soccer team. There are 6 more boys than ...
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...
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 ...
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 ...
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...
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 ...
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 ...
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 ...
The perimeter of a rectangular
The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m2...
The sum of the squares
The sum of the squares of two consecutive positive numbers is 61...
One positive integer is 8 less
One positive integer is 8 less than twice another and the sum of their squares is 244
April buys eight books for \$44. Paperback books cost \$4 and hardback cost \$8...
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 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 ...
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...
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...
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 ...
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 ...
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 ...
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 ...
Jurassic Park charges \$20 for adults
Jurassic Park charges \$20 for adults and \$12 for children. Total bill for 454 people was \$3860...
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...
The sum of the squares of two consecutive
The sum of the squares of two consecutive negative even integers is 100...
A boat traveled 126 miles
A boat traveled 126 miles downstream and back.  The trip downstream took 6 hours.  The trip back took 42 ...
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 ...
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 ...
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...
Alvin is 15 years older than Elga
Alvin is 15 years older than Elga. The sum of their ages is 85...
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...
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 ...
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...
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 ...
A rectangle`s width is 4 times the length
A rectangle's width is 4 times the length. The perimeter is 30 ...
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 ...
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 ...
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 ...
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 ...
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...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
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...
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 ...
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 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 ...
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 ...
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 ...
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 ...
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...
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 ...
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.
Find the value of two numbers
Find the value of two numbers if their sum is 12 and their difference is 4
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% ...
Paul bought 8 eating utensils
Paul bought 8 eating utensils for a total of \$26. Spoons cost \$4 and forks cost \$3...
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 ...
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
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 ...
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 ...
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 ...
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...
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 ...
There are 48 heads and 134 legs
There are 48 heads and 134 legs among the chicken and pigs on the ...
Systems Of EquationsThe sum of three consecutive numbers
The sum of three consecutive numbers is the same as twice the value of the last ...
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 two numbers
The sum of two numbers is 20. Their difference is 4...
The sum of the squares of two consecutive positive even integers
The sum of the squares of two consecutive positive even integers is 244...
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 ...
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 length of a rectangular field
The length of a rectangular field is 24 meters. This is 3 meters less than twice the ...
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...

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