Question

The governor of a state earns $54,625 more than the governor of state B. If the total of their salaries is 286,165, find the salaries of each

Answer 1

For this case, the first thing we must do is define variables.
 We have then:
 x: governor of a state gains
 y: governor of b state earnings
 We now write the system of equations that models the problem.
 We have then:
 $x + y = 286165 x = y + 54625$
 Solving the system of equations we have:
 $y + 54625 + y = 286165 2y = 286165 - 54625 2y = 231540 y = 231540/2 y = 115770$
 Then, for x:
 $x = y + 54625 x = 115770 + 54625 x = 170395$
 Answer: governor of a state earns $ 170395
 governor of b state earns $ 115770