SOLUTION: If I have only quarters and nickels and I have 75 coins totaling $7.35. How many of each do I have?

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Question 1016213: If I have only quarters and nickels and I have 75 coins totaling $7.35. How many of each do I have?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call their numbers q and n. The we have
q + n = 75 and the value equation is
25q + 5n = 735 (we work in cents)
Now multiply the top equation by five and subtract and we get
25q + 5n = 735
-(5q + 5n = 375)
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20q = 360
q = 18 quarters which means you have
n = 75-18 = 57 nickels