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12 June, 23:04

A collection of quarters and nickels is worth $3.75. There are 27 coins in all. Find how many of each there are.

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  1. 13 June, 01:51
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    Q + N = 27

    Q=27-N

    0.25Q + 0.05N = 3.75

    0.25 (27-N) + 0.05 = 3.75

    6.75-0.25N+0.05N=3.75

    6.75-0.2N=3.75

    -0.2N=-3

    N=-3/-0.2 = 15

    15 nickels

    27-15 = 12

    12 quarters

    15x0.05 = 0.75

    12 x 0.25 = 3.00

    3.00 + 0.75 = 3.75

    12 quarters & 15 nickels
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