SOLUTION: Russell has $4.08 in quarters, nickels, and pennies. If he has three times as many nickels as pennies and five less quarters than the number of pennies, how many of each coin does
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-> SOLUTION: Russell has $4.08 in quarters, nickels, and pennies. If he has three times as many nickels as pennies and five less quarters than the number of pennies, how many of each coin does
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Question 950625: Russell has $4.08 in quarters, nickels, and pennies. If he has three times as many nickels as pennies and five less quarters than the number of pennies, how many of each coin does he have? Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! P=pennies; N=nickels=3P; Q=quarters=P-5
$0.01P+$0.05N+$0.25Q=$4.08 Substitute for N and Q.
$0.01P+$0.05(3P)+$0.25(P-5)=$4.08
$0.01P+$0.15P+0.25P-$1.25=$4.08 Add $1.25 to each side.
$0.41P=$5.33 Divide each side by $0.41.
P=13 ANSWER 1: There are 13 pennies.
N=3P=3(13)=39 ANSWER 2: There are 39 nickels.
Q=P-5=13-5=8 ANSWER 3 There are 8 quarters.
CHECK:
$0.01(13)+$0.05(39)+$0.25(8)=$4.08
$0.13+$1.95+$2.00=$4.08
$4.08=$4.08
