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10 May, 10:47

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?

The piggy bank has nickels and dimes.

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  1. 10 May, 10:57
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    64 nickels and 24 dimes are there in the piggy bank.

    Step-by-step explanation:

    There are $5.60 in the piggy bank in nickels and dimes.

    Let x number of nickels and y number of dimes are there.

    Now, 1 nickel ≡ 0.05 dollars and 1 dime ≡ 0.1 dollars.

    So, 0.05x + 0.1y = 5.6

    ⇒ 5x + 10y = 560

    ⇒ x + 2y = 112 ... (1)

    Again, from the condition given we can write that,

    So, 3y - 8 = x ... (2)

    Now, solving (1) and (2) we get 3y - 8 + 2y = 112

    ⇒ 5y = 120

    ⇒ y = 24

    And from equation (2) we get x = 3y - 8 = 64.

    So, there are 64 nickels and 24 dimes in the piggy bank. (Answer)
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