**Answer:**

**The number of supervisor in the factory is 9 .**

**Step-by-step explanation:**

Given as :

The ratio of workers to supervisors and factories 32 : 2

let the number of workers = 32 x

And The number of supervisors = 2 x

The ratio of male workers to female workers is 6:5

Let The number of male workers = 6 y

And The number of female worker = 5 y

The number of female workers at the plant = 80

So, 5 y = 80

∴ y =

I.e y = 16

So, **The number of male workers = 6 y = 6 × 16 = 96**

Thus The Total number of worker in the factory = The number of male workers + The number of female workers at the plant

Or, The Total number of worker in the factory = 96 + 80 = 146

Now , Again

∵ The ratio of workers to supervisors in factories 32 : 2

So, The number of workers = 32 x

I.e 146 = 32 x

∴ x = = 4.5

So, The number of supervisors = 2 x = 2 × 4.5 = 9

**Hence The number of supervisor in the factory is 9 . Answer**