SOLUTION: There are 9 fewer nickels than dimes. The collection totals $3.15. How many nickels are in the collection?

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Question 326692: There are 9 fewer nickels than dimes. The collection totals $3.15. How many nickels are in the collection?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let dimes be x numbers
Nickels = x-9
total value= 315 cents
..
value of dimes + value of nickels = total value
10x+5(x-9)=315
10x+5x-45=315
15x-45=315
add 45
15x-45+45=315+45
15x=360
divide by 15
15x/15= 360/15
x=24 = number of dimes
nickels will be 24-9=15
..
CHECK
15*5+24*10=315