Question 20435
This is a two step problem.  First, we have to write expressions that define the number of each type of coin.  Then, we have to write an equation that expresses the values that each of theses coins represents.


First:
x=number of quarters
2x=numbre of dimes
x+2=number of nickles


Second:
$0.25(x) + $0.10(2x) + $0.05(x+2) = $7.60
.25x + .10x +.05x + .10 = 7.60
.50x = 7.60 - .10 = 7.50
x = 15
2x = 30
x+2 = 17


You can check the correctness of these answers by going back and substituting them in the equation.