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25 April, 06:21

A bank teller knows that she received 34 dimes and nickels from a customer. If the change totaled $2.05, how many dimes and nickels did she receive?

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  1. 25 April, 07:57
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    D = # of dimes

    n = # of nickles

    d + n = 34 so d = 34 - n

    .10d +.05n = 2.05

    substitute d = 34 - n into. 10d +.05n = 2.05

    .10d +.05n = 2.05

    .10 (34 - n) +.05n = 2.05

    3.4 -.1n +.05n = 2.05

    -.05n = - 1.35

    n = 27

    d = 34 - n

    d = 34 - 27

    d = 7

    answer

    she received 7 dimes and 27 nickels
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