Question

The ratio of workers to supervisors and factories 32 to 2. The ratio of male workers to female workers is 6 to 5. If there are 80 female workers at the plant how many supervisors are there

Answer 1

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 = $\frac{80}{5}$

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 = $\frac{146}{32}$ = 4.5

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

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

Answer 2

Answer:

11

Step-by-step explanation:

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

Let the number of male workers is 6x and that of female workers is 5x.

Given that there are 80 female workers in the plant.

So, 5x = 80

⇒ x = 16

Therefore, the total number of workers in the plant is (6x + 5x) = 11x = (11 × 16) = 176.

Now, the ratio of workers to supervisors in the factory is 32 : 2.

Let the number of workers is 32y and number of supervisors is 2y.

So, 32y = 176

⇒ y = 5.5

So, 2y = 5.5 × 2 = 11  

Therefore, there are 11 numbers of supervisors. (Answer)