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22 June, 01:46

9. If you have twice as many pennies as nickels, and the total value of these coins is the same as the value of 32 quarters, how many pennies do you have?

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  1. 22 June, 01:52
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    The answers is 228 pennies.

    Step-by-step explanation:

    The values of the subunits of a dollar are:

    1 penny = $0.01.

    1 nickel = $0.05.

    1 quarter = $0.25.

    If all the pennies and nickels that you have are equal to 32 quarters:

    32*$0.25=$8

    Now, we have twice pennies as many nickels, and x is the total amount of coins:

    2x * $0.1 + $0.05x = $8

    Multiply and add the terms of the equation:

    $0.02x + $0.05x = $8 $0.07x = $8

    Divide by $0.07 in both terms of the equation:

    x = $8/$0.07 x ≅ 114 because you can have a half penny nor nickel.

    When x = 114 means that you have 114 nickels and 228 pennies.

    Replacing x=114

    $0.02*114 + $0.05*114 = $8
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