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31 October, 09:26

When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickels?

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  1. 31 October, 09:49
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    Let n = number of nickels, and p = number of pennies.

    The number of coins is 25, so we get this equation.

    n + p = 25

    The value of the coins is 0.05 per nickel, and 0.01 per penny.

    0.05n + 0.01p = 0.73

    Now you have a system of equations.

    n + p = 25

    0.05n + 0.01p = 0.73

    Solve the first equation for n:

    n = 25 - p

    Now substitute into the second equation.

    0.05 (25 - p) + 0.01p = 0.73

    1.25 - 0.05p + 0.01p = 0.73

    -0.04p = - 0.52

    p = 13

    There were 13 pennies.

    Now we substitute 13 for p in n + p = 25 to find out the number of nickels.

    n + 13 = 25

    n = 12

    There are 13 pennies and 12 nickels.

    Check: 13 pennies and 12 nickels does total 25 coins.

    13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73

    The value is $0.73.

    Our answer is correct.
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