SOLUTION: I opened up my piggy bank & dumped out the coins. I have Nickles, Dimes & Quarters. They add up to $5.65. I have one more Quarter than Nickles. I also have 2 more than twice as man

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Question 1181477: I opened up my piggy bank & dumped out the coins. I have Nickles, Dimes & Quarters. They add up to $5.65. I have one more Quarter than Nickles. I also have 2 more than twice as many Dimes than Quarters. How many Nickles do I have?
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
nickels        n
dimes         (n+3)/2
quarters      n+1

have 2 more than twice as many Dimes than Quarters.
2d-q=2
2d-%28n%2B1%29=2
2d-n-1=2
2d=n%2B3
d=%28n%2B3%29%2F2

5n%2B10%28n%2B3%29%2F2%2B25%28n%2B1%29=565---------one equation in just the variable for nickels
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5n%2B5%28n%2B3%29%2B25n%2B25=565
5n%2B5n%2B15%2B25n%2B25=565
35n%2B40=565
35n=525
highlight%28n=15%29