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24 September, 08:58

A man has 14 coins in his pocket, all of which are dimes and quarters. if the total value of his change is $1.70, how many dimes and how many quarters does he have?

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  1. 24 September, 10:18
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    D + q = 14 ... d = 14 - q

    0.10d + 0.25q = 1.70

    0.10 (14 - q) + 0.25q = 1.70

    1.40 - 0.10q + 0.25q = 1.70

    -0.10q + 0.25q = 1.70 - 1.40

    0.15q = 0.30

    q = 0.30 / 0.15

    q = 2 < = = = 2 quarters

    d + q = 14

    d + 2 = 14

    d = 14 - 2

    d = 12 < = = = 12 dimes
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