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

Answer:

The total workers are 2400.

Step-by-step 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:

$20\%\ of \ x=480$

⇒$\frac{20}{100} \times x=480$

⇒$0.20\times x=480$

⇒$0.20x=480$

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:

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

⇒$x-\frac{80}{100}\times x=480$

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.