SOLUTION: Aiden has a collection of 63 nickles and quarters in his piggy bank.if the total value of the coins is $10.75 how many nickles does he have?

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Question 1001498: Aiden has a collection of 63 nickles and quarters in his piggy bank.if the total value of the coins is $10.75 how many nickles does he have?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call nickels and quarters, n and q.
Thus
n + q = 63 coins
The value equation is
5n + 25q = 1075 (do this in cents)
We could divide this by five, but let's multiply the first equation by five and subtract it from the second and we get
5n + 25q = 1075
-(5n + 5q = 315)
and then
20q = 760
q = 38 quarters
and
n = 25 nickels