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