Aaron is going to a carnival that has games and rides. Each game cost $2.75 and each ride cost $4.75. Aaron spent $20.50 altogether at the carnival and the number of games he played is twice the number of rides he went on. Determine the number of games Aaron played and the number of rides Aaron went on.

Question

Mathematics

Talon Haney

23 January, 18:39

Aaron is going to a carnival that has games and rides. Each game cost $2.75 and each ride cost $4.75. Aaron spent $20.50 altogether at the carnival and the number of games he played is twice the number of rides he went on. Determine the number of games Aaron played and the number of rides Aaron went on.

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Answers (1)

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Dawson Arnold · Answer 1

Aaron played 4 games and went on 2 rides at the carnival.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Cost of each game = US$ 2.75

Cost of each ride = US$ 4.75

Total spent by Aaron at the carnival = US$ 20.50

Number of rides = x

Number of games = 2x (the number of games he played is twice the number of rides he went on)

2. Determine the number of games Aaron played and the number of rides Aaron went on.

For determine the number of games and the number of rides, we will use the following equation:

2.75 (2x) + 4.75x = 20.50

5.5x + 4.75x = 20.50

10.25x = 20.50

x = 20.50/10.25

x = 2 ⇒ 2x = 4

Aaron played 4 games and went on 2 rides at the carnival.