SOLUTION: Kate has 32 coins totalling $2.75. If she has only nickels and dimes, how many of each coin does she have?

Question 959274: Kate has 32 coins totalling $2.75. If she has only nickels and dimes, how many of each coin does she have?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
N=nickels; D=dimes
N+D=32
D=32-N
$0.05N+$0.10D=$2.75 Substitute for D
$0.05N+$0.10(32-N)=$2.75
$0.05N+$3.20-$0.10N=$2.75 Subtract $3.20 from each side.
-$0.05N=-$0.45 Divide each side by -$0.05.
N=9 ANSWER 1: She has 9 nickels
D=32-N=32-9=23 ANSWER 2: She has 23 dimes.
CHECK:
$0.05N+$0.10D=$2.75
$0.05(9)+$0.10(23)=$2.75
$0.45+$2.30=$2.75
$2.75=$2.75
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