Question

In a​ company, 85​% of the workers are men. If 405 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

2700

Explanation:

1st method:

let x be the number of all workers in the company

then, the number of female workers will be x-0.85x = 0.15x

0.15x = 405

x = 405/0.15 = 2700

2nd method

we know that the 405 people who aren't men make 15% (100%-85%) of the whole number of workers, by using proportions:

15% - 405

100% - X

X = (100% * 405 )/15% = 2700