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10 April, 07:30

A sum of money amounting to $4.25 consists of dimes and quarters if there are 26 coins in all how many are quarters

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  1. 10 April, 08:30
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    d = dimes

    q = quarters

    d+q=26 coins

    rewrite as d=26-q

    0.25q + 0.10d=4.25

    0.25q+0.10 (26-q) = 4.25

    0.25q+2.6-0.10q=4.25

    0.15q=1.65

    q=11

    d=26-11=15

    11*0.25 = 2.75, 15*0.10=1.50, 2.75+1.50=4.25

    there are 11 quarters
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