SOLUTION: Lamar has 46 coins, all nickels and dimes. The total value of all these coins is $3.05. How many nickels does he have?

Question 984230: Lamar has 46 coins, all nickels and dimes. The total value of all these coins is $3.05. How many nickels does he have?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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N=number of nickels; D=number of dimes
N+D=46
D=46-N Use this to substitute for D below.
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$0.05N+$0.10D=$3.05 Substitute for D from above.
$0.05N+$0.10(46-N)=$3.05
$0.05N+$4.60-$0.10N=$3.05
-$0.05N=-$1.55
31=N ANSWER: He has 31 nickels.
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CHECK:
D=46-N=46-31=15 He has 15 dimes
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$0.05N+$0.10D=$3.05
$0.05(31)+$0.10(15)=$3.05
$1.55+$1.50=$3.05
$3.05=$3.05

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