Question

The governor of state A earns ​$49,485 more than the governor of state B. If the total of their salaries is ​$288,035​, find the salaries of each.

need to find a and b

Answer 1

Governor of state A = 168,760

Governor of state B = 119,275

Explanation:

A = 49485 + B Eq. 1

A + B = 288035 Eq. 2

A = Earns of governor of state A

B = Earns of governor of state B

Replacing Eq. 1 in Eq. 2:

(49485+B) + B =288035

2B + 49485 = 288035

2B = 288035 - 49485

2B = 238550

B = 238550/2

B = 119275

From eq. 1

A = 49485 + 119275

A = 168760

Check:

from eq. 2:

A + B = 288035

168760 + 119275 = 288035

Answer 2

a) $168,760

b) $119,275

Explanation:

For this, I believe you do $288,035 - $49,485. This equals $238,550.

Then divide this by 2 to get the salary for state B, which is $119,275 .

$168,760 remains, so it's the salary for state A.