SOLUTION: 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 $1750. What was the rate charg

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Question 1149976: 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 $1750. What was the rate charged per hour by each mechanic if the sum of the two rates was $145 per hour?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the first mechanic's rate and y be the second mechanic's rate
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(1) x + y = 145
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(2) 10x + 15y = 1750
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solve the first equation for x and substitute for x in the second equation
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x = 145 - y
:
10(145-y) +15y = 1750
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1450 -10y +15y = 1750
:
5y = 300
:
y = 60
:
x = 145 -60 = 85
:
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The first mechanic's rate is $85 per hour and
:
The second mechanic's rate is $60 per hour
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check the answer by substituting for x and y in equation 2
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10(85) + 15(60) = 1750
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850 +900 = 1750
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1750 = 1750
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answer checks
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