SOLUTION: Kate has 21 coins (nickels and dimes) in her purse. How many nickels and dimes does she have if she has $1.50?
3 nickels and 18 dimes
5 nickels and 16 dimes
12 nickels and
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Question 970722: Kate has 21 coins (nickels and dimes) in her purse. How many nickels and dimes does she have if she has $1.50?
3 nickels and 18 dimes
5 nickels and 16 dimes
12 nickels and 9 dimes
15 nickels and 6 dimes
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=21
D=21-N Use this to substitute for D
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$0.05N+$0.10D=$1.50 Substitute for D. (This converts number of coins to value)
$0.05N+$0.10(21-N)=$1.50
$0.05N+$2.10-$0.10N=$1.50 Subtract $2.10 from each side.
-$0.05N=-$0.60 Divide each side by -$0.05
N=12 ANSWER 1: She has 12 nickels.
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D=21-N=21-12=9 ANSWER 2: She has 9 dimes
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CHECK:
$0.05N+$0.10D=$1.50
$0.05(12)+$0.10(9)=$1.50
$0.60+$0.90=$1.50
$1.50=$1.50
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