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27 October, 14:23

14. Andy has 17 coins made up of quarters and half dollars, and their total value is $7.25.

How many quarters does he have?

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  1. 27 October, 14:29
    0
    5 quarters

    Step-by-step explanation:

    x = number of quarters

    17 - x = number of half dollars {there are 17 total coins}

    0.25x + 0.5 (17 - x) = 7.25 {value of coin times number of coins equals total value}

    0.25x + 8.5 - 0.5x = 7.25 {used distributive property}

    -0.25x + 8.5 = 7.25 {combined like terms}

    -0.25x = - 1.25 {subtracted 8.5 from each side}

    x = 5 quarters {divided each side by - 0.25}

    17 - x = 12 half dollars {substituted 5, in for x, into 17 - x}

    5 quarters
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