Question 1090193
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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. 
Together they charged a total of $2250. 
What was the rate charged per hour by each mechanic, if the sum of the two rates was 
$125 per hour? 
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Let x be the rate of the first mechanic.
Then the rate of the second mechanic is (125 - x) dollars.

The "amount" equation is

20x + 15*(125-x) = 2250  dollars.


Simplify and solve for x:

20x + 1875 - 15x = 2250  ====>

5x = 2250 - 1875 = 375  ====>  x = {{{375/5}}} = 75.


Thus the first mechanic's rate is $75 per hour.


Then the second mechanic's rate is $125 - $75 = $50 per hour.
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Solved.