Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2375. What was the rate charged per hour by each mechanic if the sum of the two rates was $130 per hour.

Question

Mathematics

Molly Little

5 March, 05:42

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2375. What was the rate charged per hour by each mechanic if the sum of the two rates was $130 per hour.

+3

Answers (2)

Know the Answer?

Jerimiah Campos · Answer 1

No clue man. You should of Listened to the teacher and took notes. Do better next time.

Dakota Fleming · Answer 2

The answer to your question is mechanic 1 = $85, mechanic 2 = $45

Step-by-step explanation:

Data

mechanic 1 = m₁ = 20 h

mechanic 2 = m₂ = 15 h

total charge = $2375

two rates = $130

Process

1. - Write the equations to solve this problem

20m₁ + 15m₂ = 2375 Equation l

m₁ + m₂ = 130 Equation ll

2. - Solve the system of equations by elimination. Multiply equation ll by - 15

20m₁ + 15m₂ = 2375

- 15 m₁ - 15 m₂ = - 1950

5m₁ = 425

m₁ = 425/5

m₁ = 85

3. - Calculate m₂

85 + m₂ = 130

m₂ = 130 - 85

m₂ = 45