Need algebra help for solving a value mixture problem using a system of linear equations

Algebra
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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?

Nov 15th, 2015

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.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 15th, 2015

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