SOLUTION: A collection of 72 coins is worth $7.20. There are 12 more nickels than dimes and the rest are quarters. How many quarters are in the collection?

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Question 1075428: A collection of 72 coins is worth $7.20. There are 12 more nickels than dimes and the rest are
quarters. How many quarters are in the collection?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
There are 12 more nickels than dimes and the rest are
quarters
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system%28n-d=12%2Cn%2Bd%2Bq=72%2C5n%2B10d%2B25q=720%29

system%28n=d%2B12%2Cn%2Bd%2Bq=72%2Cn%2B2d%2B5q=144%29

-
d%2B12%2Bd%2Bq=72
2d%2Bq=60
-
d%2B12%2B2d%2B5q=144
3d%2B5q=144-12
3d%2B5q=132
-
3d%2B5%2860-2d%29=132
3d%2B300-10d=132
-7d=132-300
highlight%28d=24%29
--
highlight%28n=36%29
--
q=60-2d
q=60-2%2A24
q=60-48
highlight%28q=12%29