Each game costs 1$ and each ride costs $3.50. Sam spent $28.50 altogether at the carnival and the number of rides she went on is 3 more than

Question

Each game costs 1$ and each ride costs $3.50. Sam spent $28.50 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sam played and the number of rides Sam went on.

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Liliana 3 days 2021-10-14T00:04:14+00:00 1 Answer 0

Answers ( )

  1. Charlotte
    0
    2021-10-14T00:06:11+00:00

    Answer: Sam played 5 games and went on 8 rides

    Step-by-step explanation:

    Let r represent the number of rides that Sam went on.

    Let g represent the number of games that Sam played

    the number of rides she went on is 3 more than the number of games she played. This means that

    r = 3 + g

    Each game costs 1$ and each ride costs $3.50. Sam spent $28.50 altogether at the carnival. This means that

    3.5r + g = 28.50 – – – – – – -1

    Substituting r = 3 + g into equation 1, it becomes

    3.5(3+g) + g = 28.50

    10.5 + 3.5g + g = 28.50

    4.5g = 28.5 – 10.5

    4.5g = 18

    g = 18/4.5

    g = 5

    r = 3 + g = 3 + 5

    r = 8

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