SOLUTION: Shea has 5 times as many dimes as she does quarters, 6 pennies, and a twenty dollar bill. Combined the dimes and quarters total $9.75. How many quarters does she have?

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Question 696239: Shea has 5 times as many dimes as she does quarters, 6 pennies, and a twenty dollar bill. Combined the dimes and quarters total $9.75. How many quarters does she have?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
Q= THE NUMBER OF QUARTERS.
5Q= THE NUMBER OF DIMES.
.25Q+.10*5Q=9.75
.25Q+.50Q=9.75
.75Q=9.75
Q=9.75/.75
Q=13 QUARTERS ANS.
5*13=65 DIMES ANS.
PROOF:
.25*13+.10*65=9.75
3.25+6.50=9.75
9.75=9.75