Question

The governor of state A earns $49,120 more than the governor of state B. If the total of their salaries is $295,210, find the salaries of each.

Answer 1

Let us denote by x Governor B's earnings.

If the governor of state A earns $49,120 more than the governor of state B, then Governor A's earnings are:

x + 49120

Now, if the total of their salaries is 295210, we get the following equation:

x + (x+49120)= 295210

this is equivalent to:

2x + 49120 = 295210

solving for 2x, we get:

2x = 295210-49120= 246090

Finally, solving for x, we obtain:

`x=\text{ }(246090)/(2)=123045`

Thus, we get that:

Governor B's earnings = x = 123045

Governor A's earnings = x + 49120 = 123045 + 49120= 172165

So that, we can conclude that the correct answer is:

Governor A Salary = $172,165

Governor B Salary = $ 123,045