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The governor of state A earns ​$50,975 more than governor of state b. If their total of their salaries if $295,515, find the salaries of each

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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.

User Kyle Tolle
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