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.