SOLUTION: jack has a jar with dimes and quarters in it. the jar has 6 more quarters than it has dimes. if the value of the coins is $5.70, how many quarters are in the jar?

Question 987099: jack has a jar with dimes and quarters in it. the jar has 6 more quarters than it has dimes. if the value of the coins is $5.70, how many quarters are in the jar?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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D=dimes; Q=quarters=D+6
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$0.10D+$0.25Q=$5.70
$0.10D+$0.25(D+6)=$5.70
$0.10D+$0.25D+$1.50=$5.70
$0.35D=$4.20
D=12 There are 12 dimes.
Q=D+6=12+6=18
ANSWER: There are 18 quarters.
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CHECK:
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$0.10D+$0.25Q=$5.70
$0.10(12)+$0.25(18)=$5.70
$1.20+$4.50=$5.70
$5.70=$5.70
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