SOLUTION: Carol has 40 coins consisting of dimes and quarters. If the value of the coins is $4.75, then how many dimes does he have?

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Question 275634: Carol has 40 coins consisting of dimes and quarters. If the value of the coins is $4.75, then how many dimes does he have?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D+Q=40 OR D=40-Q
.10D+.25Q=4.75
.10(40-Q)+.25Q=4.75
4-.10Q+.25Q=4.75
.15Q=4.75-4
.15Q=.75
Q=.75/.15
Q=5 QUARTERS.
D=40-5=35 DIMES.
PROOF:
.10*35+.25*5=4.75
3.50+1.25=4.75
4.75=4.75