It is typical one-unknown problem.


Let x be the number of quarters.


Then the number of dimes is 2x, according to the condition.


Then the number of nickels must be (95-(x+2x)) = (95-3x).


The money equation is


   5*(95-3x) + 10*(2x) + 25*x = 1075 cents.


Simplify and solve for x:


    5*95 - 15x + 20x + 25x = 1075

    30x = 1075 - 5*95 

    30x = 600  ====>  x =  = 20.


Answer.  20 quarters,  2*20 = 40 dimes and  (95 - 20 - 40) = 35 nickels.