## Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a t

Question

Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1725. What was the rate charged per hour by each mechanic if the sum of the two rates was$195 per hour?
Note that the ALEKS graphing calculator can be used to make computations easier.
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First mechanic: $[per hour Second mechanic:$ per hour

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5 months 2021-08-25T11:37:47+00:00 1 Answers 5 views 0

75

120

Step-by-step explanation:

Let the first mechanic’s hourly rate = x

Let the second mechanic’s hourly rate = y

x + y = 195

15x + 5y = 1725        Divide this equation by 5

3x + y = 345             Write the first equation below this one. Subtract

x   + y = 195

2x = 150                    Divide by 2

x = 150/2

x = 75

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x + y = 195

75 + y = 195

y = 195 – 75

y = 120