SOLUTION: Chang has 36 coins, all dimes and half dollars. The total value of all these coins is $12.00. How many dimes does he have?

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Question 863053:

Chang has 36 coins, all dimes and half dollars. The total value of all these coins is $12.00. How many dimes does he have?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D+Q=36 OR D=36-Q
.10D+.50Q=12.00
.10(36-Q)+.50Q=12.00
3.60-.10Q+.50Q=12.00
.40Q=12.00-3.60
.40Q=8.40
Q=8.40/.40
Q=21 NUMBER OF HALF DOLLARS.
D+21=36
D=36-21
D=15 NUMBER OF DIMES.
PROOF:
.10*15+.50*21=12.00
1.50+10.50=12.00
12.00=12.00