Answer:
Mechanic 1 worked 20 hours and mechanic 2 worked 15 hours.
Step-by-step explanation:
First mechanic can be represented as x and the second mechanic can be represented as y.
We can set up two equations.
55x + 80y = 2300
x + y = 35
x = hours worked by 1st mechanic
y = hours worked by 2nd mechanic
Now we can solve for each variable.
55x + 80y = 2300
x + y = 35
Isolate the y variable.
x = 35 - y
replace x
55(35 - y) + 80y = 2300
1925 - 55y + 80y = 2300
combine like terms
1925 + 25y = 2300
solve for y
2300 - 1925 = 25y
375 = 25y
y = 15
Now that we have y, we can plug it in and solve for x.
x + y = 35
x + 15 = 35
x = 35 - 15
x = 20
Thus, mechanic one worked 20 hours while mechanic two worked 15 hours.