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9 January, 18:57

Marty has a piggy bank that contains $2.25. the piggy bank contains only quarts and dimes. there are twice as many dimes as quarters. how many dimes are in the piggy bank

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  1. 9 January, 21:36
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    Let D be the number of dimes and Q be the number of quarters.

    We know that the number of dimes multiplied by their value summed with the number of quarters multiplied by their value will amount to $2.25. Written mathematically:

    0.10*D + 0.25*Q = 2.25

    We also know that there are twice as many dimes as there are quarters, which translates to D = 2Q. So we substitute that into our previous equation:

    0.10 * (2Q) + 0.25*Q = 2.25

    0.20*Q + 0.25*Q = 2.25

    Q = 2.25/0.45

    Q = 5 quarters

    Since we know that D = 2Q: D = 2 * (5) = 10 dimes
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