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?

i think its 50

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