Answer: he purchased 16 ride tickets.
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