Question 1157579
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Let d be the number of dimes.

Then the number of quarters is (58-d), according to the condition.


Then we can write the money equation for the total in the form


    10d + 25*(58-d) = 985   cents.


From the equation,  d = {{{(985-25*58)/(10-25)}}} = 31.

<U>ANSWER</U>.  31 dimes and 58-31 = 27 quarters.


<U>CHECK</U>.   31*10 + 27*25 = 985 cents.    ! Precisely correct !
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Solved.