let

n = number of nickles

d = the number of dimes

q = number of quarters

1 nickle = 5 cents

1 dime = 10 cents

1 quarter = 25 cents

Ginny's piggybank contained $8.80 = 880 cents in quarters, dimes, and nickels:

5n + 10d + 25q = 880 divide both sides by 5

n + 2d + 5q = 176

There are two more than five times as many nickels as quarters:

n = 2 + 5q

and 4 less than twice as many dimes as quarters:

d = 2q - 4

by solving the system of equations:

n + 2d + 5q = 176

n = 2 + 5q

d = 2q - 4

we find:

n = 67 nickles

d = 22 dimes

q = 13 quarters

click here to see the step by step solution of the system of equations:

Ginny has 67 nickles, 22 dimes and 13 quarters in her piggy bank.