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.

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

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