Question

If Levi purchased a total of 50 ride tickets and game tickets at the amusement park and spent $29. If right tickets cost $.75 each and game tickets cost $.50 each how many ride tickets did he purchase?

Answer 1

Answer: he purchased 16 ride tickets.

Step-by-step explanation:

Let x represent the number of ride tickets that he purchased.

Let y represent the number of game tickets that he purchased.

Levi purchased a total of 50 ride tickets and game tickets at the amusement park. It means that

x + y = 50

If ride tickets cost $.75 each and game tickets cost $.50 each and the total amount spent on the tickets is $29, it means that

0.75x + 0.5y = 29- - - - - - - - - - - -1

Substituting x = 50 - y into equation 1, it becomes

0.75(50 - y) + 0.5y = 29

37.5 - 0.75y + 0.5y = 29

- 0.75y + 0.5y = 29 - 37.5

- 0.25y = - 8.5

y = - 8.5/-0.25

y = 34

x = 50 - y = 50 - 34

x = 16