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30 September, 11:28

Audrey has 32 dimes and quarters in her piggy bank with a total value of $6.50. how many of the coins are dimes and how many are quarters?

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  1. 30 September, 11:50
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    D + q = 32 ... d = 32 - q

    0.10d + 0.25q = 6.50

    0.10 (32 - q) + 0.25q = 6.50

    3.20 - 0.10q + 0.25q = 6.50

    -0.10q + 0.25q = 6.50 - 3.20

    0.15q = 3.30

    q = 3.30 / 0.15

    q = 22 < = = = 22 quarters

    d + q = 32

    d + 22 = 32

    d = 32 - 22

    d = 10 < = = = 10 dimes
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