Answer:
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:
<u>"Ginny's piggybank contained $8.80 in quarters, dimes, and nickels.":</u>
<u>"there were two more than five times as many nickels as quarters":</u>
<u>"4 less than twice as many dimes as quarters":</u>
<u></u>
Plugging in equation 2 and 3 into equation 1, we can solve for q:
<em>Substituting q = 13 into equation 2 will give us nickels:</em>
<em>Substituting q = 13 into equation 3 will give us dimes:</em>
There are 13 quarters, 67 nickels, and 22 dimes.