Question 1199888
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Two mechanics worked on a car. The first mechanic charged $ 55 per hour, 
and the second mechanic charged $110 per hour. 
The mechanics worked for a combined total of 20 hours, and together 
they charged a total of $1925. How long did each mechanic work?
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<pre>
x = hours 2nd mechanic worked, who charged 110 dollars per hour.

20-x = hours 1st mechanic worked, who charged 55 dollars per hour.


The total cost is 110x + 55*(20-x), and the total money equation is THIS

    110x + 55*(20-x) = 1925  dollars.


Simplify it and find x

    110x + 1100 - 55x = 1925

    110 - 55x = 1925 - 1100

       55x    =    825

         x    =    825/55 = 15.


<U>ANSWER</U>.  Second mechanic worked 15 hours.  First mechanic worked (20-15) = 5 hours.


<U>CHECK</U>.  15*110 + 55*5 = 1925,  total money.    ! correct !
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Solved.