Question 976607: Nick has 31 coins, make up of quarters, nickels, and dimes. If he had one more dime, he would have just as many dimes as he has nickels and quarters put together. If the total value of Nick’s coins is $4.70, how many coins of each does he have?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Nick has 31 coins, make up of quarters, nickels, and dimes. If he had one more dime, he would have just as many dimes as he has nickels and quarters put together. If the total value of Nick’s coins is $4.70, how many coins of each does he have?
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let d=number of dimesl
let n=number of nickels
let q=number of quarters
..
d+n+q=31
n+q=31-d
..
d+1=n+q
d+1=31-d
2d=30
d=15
..
n+q=d+1=16
n=16-q
..
.10d+.05n+.25q=4.70
.10(15)+.05(16-q)+.25q=4.70
1.5+.80-.05q+.25q=4.70
2.3+.20q=4.70
.20q=2.4
q=12
n=31-(d+q)=31-27=4
..
number of dimes=15
number of nickels=4
number of quarters=12
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