SOLUTION: Sally has twice as many dimes as quarters. The total value is $12.50. How many dimes does she have?

Question 963429: Sally has twice as many dimes as quarters. The total value is $12.50. How many dimes does she have?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Sally has 2 dimes for each quarter, so the coins are grouped in $0.45 groups.
However, $12.50 is not divisible by 45 cents, so you will wind up with a fraction of a coin.
Q=quarters; D=dimes=2Q
$0.10D+$0.25Q=$12.50 Substitute for D.
$0.10(2Q)+$0.25Q=$12.50
$0.20Q+$0.25Q=$12.50
$0.45Q=$12.50 Divide each side by $0.45
Q=27.78...She had 27.78 quarters.
D=2Q=55.56 ANSWER: She had 55.56 dimes.
CHECK:
$0.10D+$0.25Q=$12.50
$0.10(55.56)+$0.25(27.78)=$12.50
$5.56+$6.94=$12.50
$12.50=$12.50
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