Question 533218: Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of 2150 . What was the rate charged per hour by each mechanic if the sum of the two rates was 175 per hour?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of 2150 . What was the rate charged per hour by each mechanic if the sum of the two rates was 175 per hour?
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r1 + r2 = 175
10r1 + 15r2 = 2150
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Multiply thru 1st by 10 to get:
10r1 + 10r2 = 10*175
10r1 + 15r2 = 2150
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Subtract and solve for r2
5r2 = 400
r2 = $80 per hr
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Solve for r1:
r1 + r2 = 175
r1 + 80 = 175
r1 = $95 per hr
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Cheers,
Stan H.
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