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

Respuesta :

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 [tex]x[/tex].

According to question:

[tex]20\%\ of \ x=480[/tex]

⇒[tex]\frac{20}{100} \times x=480[/tex]

⇒[tex]0.20\times x=480[/tex]

⇒[tex]0.20x=480[/tex]

Dividing both sides by 0.20 we get:

⇒[tex]x=2400[/tex].

Total workers = 2400.

Now, in second way.

Again, let the total workers be  [tex]x[/tex].

According to question:

[tex]x-80\%\ of\ x=480[/tex]

⇒[tex]x-\frac{80}{100}\times x=480[/tex]

On solving:

⇒[tex]x-0.80x=480[/tex]

⇒[tex]0.20x=480[/tex]

Dividing both sides by 0.20 we get:

⇒[tex]x=2400[/tex].

Total workers = 2400.

Therefore, the total workers are 2400.