Math word problem can anybody help please? Thank you!

Question

A woman earns 10% more than her husband. Together they make $66,990 per year. What is the husband's annual salary?

Answer 1

Hello, thank you for taking the time to post your question!

The key on this type of question is to use the information given in order to set up an algebraic expression that we can solve. On this one if you let “H” represent the husband’s salary we get

H + 1.10H = 66990    because the total is 66900 and she makes 1.1 times what he does

Solving that for the value of H then yields

2.10H = 66990

H = 66990/2.10 = 31900

Meaning that the husband’s annual salary is $31,900

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Hero,

 

x = what the husband makes

 

Then, 1.1x is what the wife makes

 

x + 1.1x is what they make put together

 

x + 1.1x = 66,990

 

2.1x = 66,990

 

x = $31,900