Question 1196588
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x quarters;

2x nickels,

and (274-x-2x) = (274-3x) dimes.


Total money equation is

    25x + 5*(2x) + 10*(274-3x) = 3030  cents.


Simplify and solve

    25x + 10x + 2740 - 30x = 3030

          5x               = 3030 - 2740 = 290

           x                             = 290/5 = 58.


<U>ANSWER</U>.  58 quarters;  2*58 = 116 nickels and the rest coins, 274-58-116 = 100, are dimes.


<U>CHECK</U>.   25*58 + 5*116 + 10*100 = 3030 cents, in total.  ! Correct !
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Solved.


<H3>The lesson to learn</H3 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;this problem is to solve using one equation in one single unknown.