SOLUTION: Mrs. Collins has $4.90 in dimes and quarters in her purse. If she has 7 more quarters than dimes how many of each coin does she have?

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Question 973478: Mrs. Collins has $4.90 in dimes and quarters in her purse. If she has 7 more quarters than dimes how many of each coin does she have?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X=DIMES
X+7=QUARTERS
.10X+.25(X+7)==4.90
.10X+.25X+1.75=4.90
.35X=4.90-1.75
.35X=315
X=3.15/.35
X=9 DIMES.
9+7=16 QUARTERS.
PROOF:
.10*9+.25*16=34.90
.90+4.00=4.90
4.90=4.90