SOLUTION: A woman has 10.50 in change consisting of twice as many half dollars as quarters and five times as many dimes as quarters. how many half dollars,quarters and dimes.
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Question 349741: A woman has 10.50 in change consisting of twice as many half dollars as quarters and five times as many dimes as quarters. how many half dollars,quarters and dimes. Found 2 solutions by checkley77, kammy13:Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! H=2Q
D=5Q
.50H+.25Q+.10D=10.50
.50(2Q)+.25Q+.10(5Q)=10.50
1Q+.25Q+.10*5Q=10.50
Q+.25Q+.5Q=10.50
1.75Q=10.50
Q=10.50/1.75
Q=6 NUMBER OF QUARTERS.
H=2*6=12 NUMBWER OF HALVES.
5*6=30 NUMBER OF DIMES.
PROOF:
.50*12+.25*6+.10*30=10.50
6+1.50+3=10.50
10.50=10.50