SOLUTION: A piggy bank contains 57 coins. There are 8 more dimes than quarters, and 5 more nickels than dimes. How many of each kind of coin are in the bank

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Question 1098683: A piggy bank contains 57 coins. There are 8 more dimes than quarters, and 5 more
nickels than dimes. How many of each kind of coin are in the bank

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
n nickels
d dimes
q quarters

system%28n%2Bd%2Bq=57%2Cd-q=8%2Cn-d=5%29


system%28q=d-8%2Cn=d%2B5%29------substitute these in the "57" coin sum.

%28d%2B5%29%2Bd%2B%28d-8%29=57
Solve for d; and then evaluate the other two coins.