SOLUTION: Maria has $6 worth of change in her purse. She has five more quarters than dimes and fifteen more nickels than dimes. How many of each coin does she have?

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Question 975553: Maria has $6 worth of change in her purse. She has five more quarters than dimes and fifteen more nickels than dimes. How many of each coin does she have?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
She has X dimes, X+5 quarters, X+15 nickels.
25(X+5)+10(X)+5(X+15)=600
25X+125+10X+5X+75=600
40X+200=600
40X=400
X=10
She has 10 dimes, 15 quarters, 25 nickels
10 Dimes $1.00
15 Quarters $3.75
25 Nickels $1.25