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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of 2150 dollars. What was the rate charged per hour by each mechanic if the sum of the two rates was 145 dollars per hour?

 Aug 18, 2021
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Lets say the first mechanic makes x dollars per hour and the second mechanic makes y dollars per hour. We can say that

20x + 5y = 2150

x + y = 145

We can multiply the second equation by 5 and subtract it from the first:

5x + 5y = 725

15x = 1425

$x = \boxed{95}$

95 + y = 145

$y = \boxed{50}$

 Aug 18, 2021

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