Irene R. answered 09/26/20
BS in Mechanical Engineering and Certified math teacher for 13 years
Hi Ninoshka,
Let's use the variable B to represent the salary of the governor in state B.
Since the governor in state A earns $50880 more than that of state B , we can write the following expression to represent the salary of the governor in state A:
B + 50880
Using the total of their two salaries as $285140, we can create and solve the following equation to find the salary of the governor from state B first:
B + 50880 + B = 285140
2B + 50880 = 285140
2B + 50880 - 50880 = 285140 - 50880
2B = 234260
2B/2 = 234260/2
B = 117130
The governor pf state B will earn $117130.
The governor of state A will earn 117130 + 50880 = $168010