Basic Substitution Word Problems

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Find the cost of each vegetable.

• SQUASH = .21

  ZUCCHINI = .18

• SQUASH = .27

  ZUCCHINI = .19

• SQUASH = .18

  ZUCCHINI = .21

• SQUASH = .19

  ZUCCHINI = .27

Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their combined pay was $65. Find the hourly rate of pay for each person.

• JUDY $5.00/HR

  BEN $4.00/HR

• JUDY $6.00/HR

  BEN $3.00/HR

• JUDY $4.00/HR

  BEN $5.00/HR

• JUDY $3.00/HR

  BEN $6.00/HR

Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?

• DIMES 24

  QUARTERS 16

• DIMES 18

  QUARTERS 24

• DIMES 22

  QUARTERS 14

• DIMES 16

  QUARTERS 24

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

• STUDENT 340

  ADULT 150

• STUDENT $1500.00

  ADULT $280.00

• STUDENT 150

  ADULT 380

• STUDENT 380

  ADULT 150

The length of a rectangle is 4cm longer than the width. The perimeter is 80 cm. Find the length and the width.

• LENGTH 22

  WIDTH 18

• LENGTH 22

  WIDTH 26

• LENGTH 18

  WIDTH 22

• LENGTH 26

  WIDTH 22

A collection of nickels and quarters is worth $2.85. There are 3 more nickels than quarters. How many nickels and quarters are there?

• NICKELS 9

  QUARTERS 12

• NICKELS 12

  QUARTERS 9

• NICKELS 8

  QUARTERS 12

• NICKELS 12

  QUARTERS 8

Ann and Betty together have $60. Ann has $9 more than twice Betty’s amount. How much money does each have?

• ANN $47

  BETTY $23

• ANN $37

  BETTY $23

• ANN $27

  BETTY $23

• ANN $37

  BETTY $28

A movie theater charges $5 for an adult’s ticket and $2 for a child’s ticket. One Saturday, the theater sold 785 tickets for $3280. How many of each type of ticket were sold?

• ADULT 570

  CHILD 215

• ADULT 580

  CHILD 215

• ADULT 570

  CHILD 210

• ADULT 215

  CHILD 570

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? Let x represent the number of toppings and y represent the total cost. Hint one equation is blue and the other is in green.

• y = 6.80 + 0.65x

  y=7.30+0.90x

• x + y = 6.80

  x + y = 7.30

• y = 6.80+0.90x

  y = 7.30 + 0.65x

• y + 0.90x = 6.80

  y + 0.65x = 7.30

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? Let x represent the number of shirts and y represent the total cost. Hint one equation is in blue and the other is in green.

• y = 9.65 + x

  y = 8.40 + x

• y = 9.65x + 43

  y = 8.40x + 58

• y =9.65x

  y = 8.40x

• y = 9.65x - 43

  y = 8.40x - 58