SOLUTION: Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of 1850. What was the rate charged

Question 1012932: Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of 1850. What was the rate charged per hour by each mechanic if the sum of the two rates was 160 per hour?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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F=hourly rate for first mechanic; S=hourly rate for second mechanic
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F+S=160
F=160-S
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5F+15S=1850
5(160-S)+15S=1850
800-5S+15S=1850
10S=1050
S=105
ANSWER 1: The second mechanic charged 105 per hour.
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F=160-F=160-105=55
ANSWER 2: The first mechanic charged 55 per hour.
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CHECK:
5F+15S=1850
5(55)+15(105)=1850
275+1575=1850
1850=1850
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