Question 18243
Let number of nickels be "x".
Then number of dimes = 2x+5
And number of quarters = 3x-1
Value of nickels is 5x cents
Value of dimes is 10(2x+5) = 20x+50 cents
Value of quarters = 25(3x-1) = 75x-25 cents

Equation:
 Value of nickels + value of dimes + value of quarters = 1225 cents
        5x+20x+50+75x-25 = 1225
            100x = 1200
               x= 12 (number of nickels)
          2x+5 =  29 (number of dimes)
          3x-1 =  35 (number of quarters)

Cheers,
Stan H.