Question

In a​ company, 65​% of the workers are men. If 1,155 people work for the company who​ aren't men​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answer 1

3300

Explanation:

workers other than men=100-65=35%

let number of workers=x

35% of x=1155

x=1155×100/35=3300

or

100-65=35

men:non men::65:35

or

`(men)/(non~men) =(65)/(35) =(13)/(7) \\sum ~of~ratio=13+7=20\\let~total=x\\(x)/(1155) =(20)/(7) \\x=(20)/(7) * 1155=3300`

Answer 2

1,715

Explanation:

100-65=35

x*(.65)=1,115

1,715