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26 May, 07:21

A bank contains 35 coins, all nickels and quarters. The total value of coins is $8.15. How many of each coin does the bank contain?

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  1. 26 May, 07:30
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    n + q = 35

    n = 35-q

    0.05n + 0.25q = 8.15

    0.05 (35-q) + 0.25q = 8.15

    1.75 - 0.05q + 0.25q = 8.15

    1.75 + 0.20q = 8.15

    0.20q = 6.40

    q = 6.40 / 0.20 = 32

    32 quarters and 3 nickels
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