SOLUTION: Rory has $10 consisting of quarters, dimes, and nickels. If she has 10 more dimes than quarters and twice as many nickels as quarters, how many of each coin does she have?

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Question 925758: Rory has $10 consisting of quarters, dimes, and nickels. If she has 10 more dimes than quarters and twice as many nickels as quarters, how many of each coin does she have?
Answer by lwsshak3(11628) About Me  (Show Source):
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Rory has $10 consisting of quarters, dimes, and nickels. If she has 10 more dimes than quarters and twice as many nickels as quarters, how many of each coin does she have?
***
let x=number of quarters
x+10=number of dimes
2x=number of nickels
..
.25x+.10(x+10)+.05*2x=10.00
.25x+.10x+1.00+.10x=10
.45x=9
x=20
x+10=30
2x=40
number of quarters=20
number of dimes=30
number of nickels=40