# A woman earns 15% more than her husband. Together they make $69,875 per year. What is the husband's annual salary?

##### 1 Answer

Dec 27, 2016

#### Answer:

$32,500

#### Explanation:

Set up the equation in terms of the husband's salary S. The wife’s salary is (0.15 * S) + S, and the combined salary is:

S + (0.15 * S) + S = 69875

2*S + 0.15*S = 69875

2.15 * S = 69875

S = 69875/2.15 = 32500

CHECK! 32500 + ((0.15 * 32500) + 32500 = 69875

65000 + 4875 = 69875 ; 69875 = 69875 Correct!