SOLUTION: Nicky has a total of 89 coins in nickles, dimes and quarters. He has 8 more dimes than nickles and 2 and a half times as many quarters as nickels. In dollars and cents, what is the

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Question 872563: Nicky has a total of 89 coins in nickles, dimes and quarters. He has 8 more dimes than nickles and 2 and a half times as many quarters as nickels. In dollars and cents, what is the total value of these coins?
Answer by lwsshak3(11628) About Me  (Show Source):
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Nicky has a total of 89 coins in nickles, dimes and quarters. He has 8 more dimes than nickles and 2 and a half times as many quarters as nickels. In dollars and cents, what is the total value of these coins?
***
let x=number of nickels
x+8=number of dimes
2.5x=number of quarters
..
x+x+8+2.5x=89
4.5x=80
x=80/4.5
..
.05(80/4.5)+.10(80/4.5+8)+.25(2.5*80/4.5)
0.89+2.58+11.11≈14.58
total value of these coins≈$14.58