Question 1015362: I have 26 coins, all nickels and dimes. Their total value is $2.25. How many of each coin do I have? Found 2 solutions by macston, FrankM:Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
N=nickels; D=dimes
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N+D=26
D=26-N
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$0.05N+$0.10D=$2.25 . Substitute for D from above.
$0.05N+$0.10(26-N)=$2.25
$0.05N+$2.60-$0.10D=$2.25
-$0.05N=-$0.35
N=7
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ANSWER 1: You have 7 nickels.
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D=26-N=26-7=19
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ANSWER 2: You have 19 dimes.$0.05N+$0.10D=$2.25
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CHECK:
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$0.05N+$0.10D=$2.25
$0.05(7)+$0.10(19)=$2.25
$0.35+$1.90=$2.25
$2.25=$2.25
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You can put this solution on YOUR website! N+D=26
5N+10D=225
Multiply 1st equation by 10
10N+10D=260
5N+10D=225
5N=35
N=7 D=19 These add to 26, 19 dimes, $1.90 plus 7 nickels $0.35 add to $2.25
