Question

In a recent year 21.4% of all registered doctors were female. If there were 57,800 female registered doctors that year, what was the total number of registered doctors

Answer 1

270093

Explanation:

Given:

In a recent year 21.4% of all registered doctors were female.

If there were 57,800 female registered doctors that year.

Question asked:

What was the total number of registered doctors ?

Solution:

Let total number of registered doctors =
`x`

As given, 21.4% of all registered doctors were female and there are 57,800 female registered doctors:-

The total number of female registered doctors = 21.4% of total number of registered doctors

`57800=21.4\%\ of\ x\\\\ 57800=(21.4)/(100) * x\\\\ 57800=0.214 x`

By dividing both sides by 0.214

`(57800)/(0.214)=(0.214 x)/(0.214) \\ \\ 270093.45=x`

Therefore, total number of registered doctors are 270093.