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15 September, 08:17

A sum of money amounting to $4.15 consists of dimes and quarters. If there are 28

coins in all, how many are quarters?

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  1. 15 September, 11:39
    0
    there are 9 quarters and 19 dimes

    Step-by-step explanation:

    Let x be the number of dimes and y the number of quarters

    -dimes: 0.1x

    -quarters: 0.25y

    -the total amount of coins : x + y = 28

    => x = 28 - y

    We have the equation:

    0.25y + 0.1x = 4.15

    0.25y + 0.1 (28 - y) = 4.15

    0.25y + 2.8 - 0.1y = 4.15

    0.15y = 1.35

    y = 9

    x = 28 - y

    = 28 - 9

    = 19
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