Ginny's piggybank contained $8.80 in quarters, dimes, and nickels. there were two more than five times as many nickels as quarters and 4 less than twice as many dimes as quarters. how many of each kind of coin was there in the bank?

There are 13 quarters, 67 nickels, and 22 dimes.

Step-by-step explanation:

The value of a quarter is $0.25, the value of dime is $0.10, and the value of a nickel is $0.05. Let there be q quarters, n nickels, and d dimes.

Let's write equations from the statements given:

"Ginny's piggybank contained $8.80 in quarters, dimes, and nickels.":

"there were two more than five times as many nickels as quarters":

"4 less than twice as many dimes as quarters":

Plugging in equation 2 and 3 into equation 1, we can solve for q:

Substituting q = 13 into equation 2 will give us nickels:

Substituting q = 13 into equation 3 will give us dimes:

There are 13 quarters, 67 nickels, and 22 dimes.

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