SOLUTION: A collection of 35 coins consisting of dimes,nickels and quarters has a combined value of $5.15. If there are 5 more quarters than nickels, how many of each type of coin are there?

Question 884302: A collection of 35 coins consisting of dimes,nickels and quarters has a combined value of $5.15. If there are 5 more quarters than nickels, how many of each type of coin are there?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A collection of 35 coins consisting of dimes,nickels and quarters has a combined value of $5.15. If there are 5 more quarters than nickels, how many of each type of coin are there?
***
let x=number of nickels
x+5=number of quarters
35-(x+x+5)=30-2x=number of dimes
..
.05x+.25(x+5)+.10(30-2x)=5.15
.05x+.25x+1.25+3-.2x=5.15
0.10x=90
x=9
x+5=14
30-2x= 12
number of nickels=9
number of quarters=14
=number of dimes=12
..
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