Question

In a​ company, 80​% of the workers are women. If 480 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. can anyone help me with this question plzz and thanks

Answer 1

The total workers are 2400.

Explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

In first way:

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be
`x`.

According to question:

`20\%\ of \ x=480`

⇒
`(20)/(100) * x=480`

⇒
`0.20* x=480`

⇒
`0.20x=480`

Dividing both sides by 0.20 we get:

⇒
`x=2400`.

Total workers = 2400.

Now, in second way.

Again, let the total workers be
`x`.

According to question:

`x-80\%\ of\ x=480`

⇒
`x-(80)/(100)* x=480`

On solving:

⇒
`x-0.80x=480`

⇒
`0.20x=480`

Dividing both sides by 0.20 we get:

⇒
`x=2400`.

Total workers = 2400.

Therefore, the total workers are 2400.