SOLUTION: You have 13 coins in your pocket that are nickels and dimes. They add up to equal $1.10. How many dimes do you have?

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Question 973038: You have 13 coins in your pocket that are nickels and dimes. They add up to equal $1.10. How many dimes do you have?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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N=nickels; D=dimes
N+D=13
D=13-N Use this to substitute for D.
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$0.05N+$0.10D=$1.10 Substitute for D.
$0.05N+$0.10(13-N)=$1.10
$0.05N+$1.30-$0.10N=$1.10
-$0.05N=-$0.20
N=4 ANSWER 1: There are 4 nickels.
D=13-N=13-4=9 ANSWER 2: There are 9 dimes.
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CHECK:
$0.05N+$0.10D=$1.10
$0.05(4)+$0.10(9)=$1.10
$0.20+$0.90=$1.10
$1.10=$1.10