SOLUTION: Nancy has 4.80 in change. She has three times as many nickels as quaters. She has two more quaters than dimes. How many coins of each does she have?

Question 999030: Nancy has 4.80 in change. She has three times as many nickels as quaters. She has two more quaters than dimes. How many coins of each does she have?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Q=number of quarters
N=number of nickels=3Q
D=number of dimes=Q-2
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$0.25Q+$0.05N+$0.10D=$4.80
$0.25Q+$0.05(3Q)+$0.10(Q-2)=$4.80
$0.25+$0.15Q+$0.10Q-$0.20=$4.80
$0.50Q=$5.00
Q=10
ANSWER 1: She has 10 quarters.
.
N=3Q=3(10)=30
ANSWER 2: She has 30 nickels.
.
D=Q-2=10-2=8
ANSWER 3: She has 8 dimes.
.
CHECK:
$0.25Q+$0.05N+$0.10D=$4.80
$0.25(10)+$0.05(30)+$0.10(8)=$4.80
$2.50+$1.50+$0.80=$4.80
$4.80=$4.80

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