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10 November, 15:46

For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins in total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning.

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  1. 10 November, 19:16
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    80 nickels 120 dimes 300 quarters

    Step-by-step explanation:

    The ratio of nickels to dimes is 2 : 3 = 4 : 6.

    The ratio of dimes to quarters is 2 : 5 = 6 : 15.

    Then the ratios of nickels : dimes : quarters are ...

    4 : 6 : 15

    There are a total of 4+6+15 = 25 ratio units representing 500 coins, so each one represents 500/25 = 20 coins. Then the numbers of coins are ...

    nickels : dimes : quarters = 4·20 : 6·20 : 15·20 = 80 : 120 : 300

    There are 80 nickels, 120 dimes, and 300 quarters in the piggy bank.
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