Solving Systems of Equations in Word Problems

Practice Questions

SAT Math › Solving Systems of Equations in Word Problems

Questions
10
1

A sporting good store sells one type of baseball bat and one type of baseball. The cost for 2 bats and 4 balls is $160. The cost for 1 bat and 6 balls is $160, as well. If someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $240 for the purchase?

2

Blin and Alex raised a total of $240,000 for a charity. If Blin raised $60,000 more than Alex did, how much money did Blin raise?

3

Judy and Nancy participated in a walk-a-thon to raise money for charity. They combined for 42 total miles between them, with Judy walking twice as many miles as Nancy. How many miles did Nancy walk?

4

Jim spent $60 purchasing lattes and coffees for his coworkers. If lattes cost $6 and coffees cost $3, and Jim purchased two more coffees than lattes, how many total drinks did he purchase?

5

A certain bakery sells only cupcakes and brownies, and charges $5 for each cupcake and $4 for each brownie. If Jeremy spent $34 purchasing 8 items at the bakery, how many brownies did he purchase?

6

The snack bar at a certain lake sells slices of pizza in two varieties: vegetarian pizza costs $1.25 per slice, and pepperoni pizza costs $1.50 per slice. If the snack bar sold a total of 20 slices of pizza for a total of $28.25 on a particular day, how many more slices of pepperoni were sold than slices of vegetarian?

7

An outdoor concert venue sells two types of tickets: balcony tickets cost $30 and main floor tickets cost $55. When the venue sells all 500 available tickets for a given show it earns a total of $20,000. How many main floor tickets does the venue offer for each show?

8

Siblings Tamika and David tracked every hour they spent studying during a particular school year. Combined, they studied for a total of 932 hours, with Tamika studying for 28 more hours than her brother David did. How many hours did Tamika study?

9

Joanna has two dogs, Rover and Spot, who weigh a combined total of 87 pounds. If Rover weighs 9 pounds more than Spot, how many pounds does Spot weigh?

10

A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

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