Two mechanics worked on a car. The 1st mechanic charged $115 ph, and the 2nd mechanic charged $120 ph

The mechanics worked for a combined total of 25 hours, and together they charged a total of $2950. How

long did each mechanic work?

Thank you for the opportunity to help you with your question!

Let x = # of hours the 1st mechanic worked (charges $115/hour)

Let y = # of hours of 2nd mechanic worked (charges $120/hour)

We know x + y = 25

115x + 120y = 2950

Solve the system.

y = 25 - x

115x + 120(25 - x) = 2950

115x + 3000 - 120x = 2950

-5x + 3000 = 2950

-5x = -50

x=10

y = 25 - x = 25 - 10 = 15

Therefore the 1st mechanic worked 10 hours, the 2nd mechanic worked 15 hours.

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