SOLUTION: Marie has $2.20 in dimes and quarters. If the number of dimes is 1/4 the number of quarters, how many dimes does she have

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Question 1025832: Marie has $2.20 in dimes and quarters. If the number of dimes is 1/4 the number of quarters, how many dimes does she have
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=4D
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$0.10D+$0.25Q=$2.20 . Substitute for Q
$0.10D+$0.25(4D)=$2.20
$0.10D+$1.00D=$2.20
$1.10D=$2.20
D=2
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Q=4D=4(2)=8
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ANSWER: Marie has 2 dimes and 8 quarters.
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CHECK:
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$0.10D+$0.25Q=$2.20
$0.10(2)+$0.25(8)=$2.20
$0.20+$2.00=$2.20
$2.20=$2.20
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