Question

Tyler and Gabe went to the arcade and played the same two games. Tyler played 5 rounds of one game and two rounds of the other for $24. Gabe played 4 rounds of each game for $30. Write two equations for the amounts the two boys spent. Then find the cost for one round of each game.

Answer 1

Tyler: 5x + 2y = 24

Gabe = 4x + 4y = 30

x = 3

y = 4.5

Explanation:

4y = 30 - 4x

y = 7.5 - x

5x + 2(7.5 - x) = 24

3x + 15 = 24

x = 3

y = 7.5 - 3

y = 4.5