SOLUTION: 40 coins , nickel, dimes and quarters worth $4.05. 7 more nickels than dimes. How many quarters ?

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Question 363018: 40 coins , nickel, dimes and quarters worth $4.05. 7 more nickels than dimes. How many quarters ?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
dimes=x
nickels=x+7
..
nickels + dimes = 2x+7
quarters = 40-(2x+7)
..
405 cents
10x+5(x+7)+25(40-2x-7)=405
10x+5x+35+825-50x=405
-35x=-825-35+405
-35x=-455
x= 13 dimes
nickels = x+7 = 20
quarters = 7
..
m.ananth@hotmail.ca
7*25+20*5+10*13=405