Question 1165055
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Let the number of nickels be x; then the number of dimes is (2x+2)

and the number of quarters is the rest coins, i.e. (12-x - (2x+2)) = 10-3x.


Next, I write the total money equation

    5x + 10*(2x+2) + 25*(10-3x) = 120  cents.


Simplify 

    5x + 20x + 20 + 250 - 75x = 120

    -50x = - 150

     x   = 3.


<U>ANSWER</U>.  3 nickels,  2*3+2 = 8 dimes and the rest coins, i.e. 12 - 3 - 8 = 1, is/(are) quarters.
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Solved.