Question 1170767
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Let x = # of nickels.

then the number of dimes = x-8 and

     the number of quarters is 2x-4.


You then write the total money equation

    
    5x + 10*(x-8) + 25*(2x-4) = 925  cents.


Simplify and solve


    5x + 10x - 80 + 50x - 100 = 925

    5x + 10x      +50x        = 925 + 80 + 100

         65x                  = 1105

           x                  = 1105/65 = 17.


<U>ANSWER</U>.  17 nickels, 17-8 = 9 dimes and 2*17-4 = 30 quarters.


<U>CHECK</U>.   17*5 + 9*10 + 30*25 = 925 cents.   ! Precisely correct !
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Solved.