SOLUTION: A coin collection has 18 coins consisting of quarters and dimes. There are two more dimes than the number of quarters. If the face value of collection is $3.00, how many quarters a
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Question 986258: A coin collection has 18 coins consisting of quarters and dimes. There are two more dimes than the number of quarters. If the face value of collection is $3.00, how many quarters are in the collection? Answer by macston(5194) (Show Source):
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D=number of dimes; Q=number of quarters
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D+Q=18
D=18-Q
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$0.10D+$0.25Q=$3.00
$0.10(18-Q)+$0.25Q=$3.00
$1.80-$0.10Q+$0.25Q=$3.00
$0.15Q=$1.20
Q=8
ANSWER: There were 8 quarters.
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CHECK:
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D=18-Q=18-8=10
There were 10 dimes.
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D=Q+2
10=8+2
10=10
