Question

Arianna and her friend Grace are going to a carnival that has games and rides. Arianna played 6 games and went on 3 rides and spent a total of $27. Grace played 2 games and went on 9 rides and spent a total of $41. Determine the cost of each game and the cost of each ride.

Answer 1

Let g = cost per game and r = cost per ride.

From Arianna: 6g + 3r = 27 → divide by 3 → 2g + r = 9, so r = 9 − 2g.
From Grace: 2g + 9r = 41. Substitute r:

2g + 9(9 − 2g) = 41
2g + 81 − 18g = 41
−16g = −40 → g = 2.50.

Then r = 9 − 2(2.50) = 4.00.

Answer: each game costs $2.50 and each ride costs $4.00.