Answer:
The answer to your question is: rate charged by
Mechanic 1 = $95
Mechanic 2 = $ 115
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