Question

In a​ company, 90​% of the workers are women. If 390 men work for the​ company, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answer 1

There are 3900 total workers in all.

Explanation:

Given:

In a​ company, 90​% of the workers are women.

390 men work for the​ company.

Now, to find the total workers there in all.

The first way to find:

Let the total workers be
`x`.

According to question:

`x-90\%\of\ x=390`

`x-(90)/(100)* x=390`

`x-0.90x=390`

`0.10x=390`

Dividing both sides by 0.10 we get:

`x=3900.`

Thus, the total workers are 3900.

Now, the second way to find:

Women are 90%.

So men are = 100% - 90% = 10%.

Let the total workers be
`w`.

According to question:

`10\%\ of\ w=390.`

`(10)/(100) * w=390.`

`0.10w=390.`

Dividing both sides by 0.10 we get:

`w=3900.`

Therefore, the total workers are 3900.