SOLUTION: A box contains $6.60 in nickels, dimes and quarters. There are three times as many nickels as quarters, and the number of dimes is 4 less than the number of nickels. How many of ea

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Question 1021679: A box contains $6.60 in nickels, dimes and quarters. There are three times as many nickels as quarters, and the number of dimes is 4 less than the number of nickels. How many of each coin are there?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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N=nickels; Q=quarters=(1/3)N; D=dimes=N-4
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$0.05N+$0.10D+$0.25Q=$6.60
$0.05N+$0.10(N-4)+$0.25((1/3)N)=$6.60
$0.05N+$0.10N-$0.40+($0.25/3)N=$6.60
$0.15N+($0.25/3)N=$7.00
($0.45/3)N+($0.25/3)N=$7.00
($0.70/3)N=$7.00
$0.70N=$21.00
N=30
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Q=(1/3)N=(1/3)(30)=10
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D=N-4=30-4=26
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ANSWER: There are 30 nickels, 26 dimes, and 10 quarters.
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CHECK:
$0.05N+$0.10D+$0.25Q=$6.60
$0.05(30)+$0.10(26)+$0.25(10)=$6.60
$1.50+$2.60+$2.50=$6.60
$6.60=$6.60
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