SOLUTION: A piggy bank contains $3.20. There are twice as many nickels as quarters and half as many dimes as quarters. How many dimes are in the piggy bank
Algebra ->
Customizable Word Problem Solvers
-> Coins
-> SOLUTION: A piggy bank contains $3.20. There are twice as many nickels as quarters and half as many dimes as quarters. How many dimes are in the piggy bank
Log On
Question 1014577: A piggy bank contains $3.20. There are twice as many nickels as quarters and half as many dimes as quarters. How many dimes are in the piggy bank Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
D=dimes; Q=quarters=2D; N=nickels=2Q=4D
.
$0.05N+$0.10D+$0.25Q=$3.20
$0.05(4D)+$0.10(D)+$0.25(2D)=$3.20
$0.20D+$0.10D+$0.50D=$3.20
$0.80D=$3.20
D=4
ANSWER: There are four dimes.
.
CHECK:
.
N=4D=4(4)=16
There are 16 nickels.
.
Q=2D=2(4)=8
There are 8 nickels.
.
$0.05N+$0.10D+$0.25Q=$3.20
$0.05(16)+$0.10(4)+$0.25(8)=$3.20
$0.80+$0.40+$2.00=$3.20
$3.20=$3.20
.