two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
charged a total of $1500 . What was the rate charged per hour by each mechanic if the sum of the two rates was $195 per hour?
1 answer:
Answer:
The first mechanic charges $105 per hour, and the second mechanic charges $90 per hour.
Step-by-step explanation:
If x is the rate of the first mechanic, and y is the rate of the second mechanic, then:
10x + 5y = 1500
x + y = 195
Solve the system of equations using elimination or substitution. Using substitution:
10x + 5 (195 − x) = 1500
10x + 975 − 5x = 1500
5x = 525
x = 105
y = 195 − x
y = 90
The first mechanic charges $105 per hour, and the second mechanic charges $90 per hour.
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