# Systems Of Equations Word Problems

Systems Of Equations Word Problems – Name:________________________ Duration:____________ Solving System of Equations Word Problems Worksheet For all problems, define the variables, write the system of equations, and solve for all variables. The directions are from TAKS so do all three (variables, equations and solutions) regardless of what is asked in the problem. 1. A large pizza at Palanzio’s Pizzeria costs \$6.80 plus \$0.90 for each topping. A large cheese pizza at Guido’s Pizza costs \$7.30 plus \$0.65 for each topping. How many toppings should be added to a large cheese pizza at Palanzio’s Pizzeria and Guido’s Pizza, so that the pizza costs the same, excluding tax? 2. Mrs. Kits works at a music store. Last week she sold 6 more than 3 times the number of CDs she sold this week. Mrs. Kits sold a total of 110 CDs in 2 weeks. What system of equations can be used to find l, the number of CDs she sold last week, and t, the number of CDs she sold this week? 3. The length of a rectangle is three times the width. What system of equations can be used to find the dimensions of a rectangle if the perimeter is 86 cm? 4. A breakfast taco and a small glass of milk at a restaurant costs \$2.10. 2 tacos and 3 small glasses of milk cost \$5.15. What pair of equations can be used to determine t, the price of a taco, and m, the price of a small glass of milk? 5. Frosty’s ice cream shop sells sundaes for \$2 and banana slices for \$3. On a hot summer day, the shop sold 8 more sundaes than banana splits and earned \$156.

For all problems, define the variables, write the system of equations, and solve for all variables. The directions are from TAKS so do all three (variables, equations and solutions) regardless of what is asked in the problem.

## Systems Of Equations Word Problems

1. A large pizza at Palanzio’s Pizzeria costs \$6.80 plus \$0.90 for each topping. A large cheese pizza at Guido’s Pizza costs \$7.30 plus \$0.65 for each topping. How many toppings should be added to a large cheese pizza at Palanzio’s Pizzeria and Guido’s Pizza, so that the pizza costs the same, excluding tax?

## Solution: Kuta Software Infinite Algebra 1: Systems Of Equations Word Problems

2. Mrs. Kits works at a music store. Last week she sold 6 more than 3 times the number of CDs she sold this week. Mrs. Kits sold a total of 110 CDs in 2 weeks. What system of equations can be used to find l, the number of CDs she sold last week, and t, the number of CDs she sold this week?

3. The length of a rectangle is three times the width. What system of equations can be used to find the dimensions of a rectangle if the perimeter is 86 cm?

4. A breakfast taco and a small glass of milk at a restaurant costs \$2.10. 2 tacos and 3 small glasses of milk cost \$5.15. What pair of equations can be used to determine t, the price of a taco, and m, the price of a small glass of milk?

5. Frosty’s ice cream shop sells sundaes for \$2 and banana slices for \$3. On a hot summer day, the shop sold 8 more sundaes than banana splits and earned \$156.

### Sat Math Is All About Equations, So Here’s Some (challenging) Practice With Building Systems Of Equations From Word Problems.

6. Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of gum for a total of \$5.70. Sara bought 2 pieces of fudge and 10 pieces of gum for a total of \$3.60. What system of equations can be used to determine the price of 1 piece of fudge, f, and 1 piece of chewing gum, g?

7. At the college bookstore, Carla bought a math textbook and a novel for a total cost of \$54, not including tax. If the price of a math textbook, m, is \$8 more than the price of a novel, n, what system of linear equations can be used to determine the price of each book?

8. The price of an entertainment system at Extreme Electronics, e, is \$220 less than the price of the same system at Ultra Electronics. The price difference between the system at Extreme Electronics and Ultra Electronics is \$175. Which system of linear equations can be used to determine the system cost at each store?

9. The perimeter of a rectangular wooden deck is 90 feet. The length of the deck, l, is 5 feet less than 4 times the width, w. What system of linear equations can be used to determine the dimensions, in feet, of a wooden deck?

#### Lesson #30 System Of Equation Word Problems Day 1

10. Marcos had 15 coins in nickels and quarters. He had 3 quarters more than a nickel. He wrote a system of equations to represent this situation, letting x represent the number of nickels and y the number of quarters. Then he solved the system by graphing it. What is the solution?

11. Some students want to order shirts with their school logo. One company charges \$9.65 per shirt plus a \$43 setup fee. Another company charges \$8.40 per shirt plus a fee of \$58. For what number of shirts will the price be the same?

12. The equations of two lines are and. What is the value of x in the solution to this system of equations?

13. Mrs. Travis wants a clown to deliver balloons to her secretary’s office. Clowns R Fun costs \$1.25 per balloon plus \$6 delivery. Singing Balloons cost \$1.95 per balloon plus \$2 for delivery. At least how many balloons must Ms. Travis buy for Clowns Are Fun to cost less than the singing balloons?

### Solved Solving Systems Of Equations Word Problems Worksheet

14. Marisela has a bag with 35 nickels and quarters. The total value of these coins is less than \$2.50. What is the maximum number of quarters that meet these conditions?

15. Two supplementary angles have measures s and t. If t is less than twice s, what system of linear equations can be used to determine the measure of each angle?

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### Systems Of Linear Equations Word Problem Activities (print & Digital)

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### Grade 8 Algebra Word Problems (examples, Solutions, Videos)

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## Section 8.5 Word Problems

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