Question

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 $2675. what was the rate charged per hour by each mechanic if the sum of the two rates was $210 per hour?

Answer 1

Answer:

i think its 50

Step-by-step explanation:

Answer 2

Answer:

The answer to your question is: rate charged by

Mechanic 1 = $95

Mechanic 2 = $ 115

Step-by-step explanation:

Data

mechanic 1 = 10 hours  = x

mechanic 2 = 15 hours = y

total charged = $2675

rate charged per hour = ?

sum of the two rates = $210

Write equations

                             x + y = 210                       (I)

                          10x + 15y = 2675                (II)

Solve the equations by elimination

Multiply I by -10

                           -10x - 10y = -2100

                            10x + 15y = 2675                Add the equations

                              0   + 5y = 575                  Find y

                                        y = 575/5          

                                       y = $ 115   Mechanic 2

Find x

                       x + 115 = 210

                       x = 210 - 115

                      x = $95              Mechanic 1