Answer:
Governor B has a salary of $122,270
Governor A has a salary of 173,245
Explanation:
Let's set up an equation first.
Given that:
Governor A: Earns $50,975 more than Governor B
Governor B: Unknown salary
Total of both governors' salary: $295,515
Let's set up an equation for Governor A:
a = 50,975 + b
The "a" represents governor a and "b" represents governor b, I added 50,975 to governor b since governor a's salary is equivalent to $50,975 more than governor b.
Now let's set up an equation which includes the total cost of their salaries:
a + b = 295,515, since both governors' salaries add up to this amount.
Now, we are going to substitute the value of governor a's salary into this equation to solve for b:
a + b = 295,515
Becomes:
(50,975 + b) + b = 295,515
Solve for b:
50,975 + 2b = 295,515
-50,975 -50,975
2b = 244,540
/2 /2
b = 122,270
Governor B has a salary of $122,270.
Now let's plug this into the same equation again to solve for a:
a + b = 295,515
Substitute:
a + (122,270) = 295,515
-122,270 -122,270
a = 173,245
Governor A has a salary of 173,245.
Let's double check and make sure both their salaries add up to $295,515:
a + b = 295,515
122,270 + 173,245 = 295,515
295,515, this is correct.