SOLUTION: Problem Page Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $80 per hour. The mechanics worked for a combined total of 25 h

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Question 1110784: Problem Page Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $80 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1750 . How long did each mechanic work?
Found 3 solutions by josgarithmetic, TeachMath, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x, time of first mechanic
y, time of second mechanic


Simplify and solve the system.






--------the second mechanic
-



---------the first mechanic
Answer by TeachMath(96)   (Show Source): You can put this solution on YOUR website!
wrong, wrong, wrong! it's impossible for times to be 20 and 25 hours.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
55*x + 80*(25-x) = 1750

55x + 2000 - 80x = 1750

-25x = 1750-2000

-25x = -250   ====>  x =  = 10.


Answer.  1-st mechanic worked 10 hours.

         2-nd mechanic worked 25-10 = 15 hours.


Check.  10*55 + 15*80 = 1750.    ! Correct !

Solved.

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Be aware: The solution by @josgarithmetic and his answer   20 hours   and   25 hours   are   W R O N G.


    josgarithmetic, don't you think that it is JUST TIME for you to leave this forum FOREVER ? ? ?
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