SOLUTION: A purse contains $6.00 in quarters and dimes. There are 17 more quarters than dimes. How many quarters and how may dimes are there?

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Question 987737: A purse contains $6.00 in quarters and dimes. There are 17 more quarters than dimes. How many quarters and how may dimes are there?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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D=number of dimes; Q=number of quarters=D+17
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$0.10D+$0.25Q=$6.00
$0.10D+$0.25(D+17)=$6.00
$0.10D+$0.25D+$4.25=$6.00
$0.35D=$1.75
D=5
ANSWER 1: There are 5 dimes.
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Q=D+17=5+17=22
ANSWER 2: There are 22 quarters.
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CHECK:
$0.10D+$0.25Q=$6.00
$0.10(5)+$0.25(22)=$6.00
$0.50+$5.50=$6.00
$6.00=$6.00