SOLUTION: rico's collection of quarters and dimes contains 32.85 . there are 171 coins in all. how many quarters and how many dimes are in rico's collection?

Question 363990: rico's collection of quarters and dimes contains 32.85 . there are 171 coins in all. how many quarters and how many dimes are in rico's collection?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
rico's collection of quarters and dimes contains 32.85 . there are 171 coins in all. how many quarters and how many dimes are in rico's collection?
.
Let q = number of quarters
then
171-q = number of dimes
.
.25q + .10(171-q) = 32.85
.25q + 17.1 - .10q = 32.85
.15q + 17.1 = 32.85
.15q = 15.75
q = 105 (quarters)
.
Dimes:
171-q = 171-105 = 66

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