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

Respuesta :

Answer:

270093

Step-by-step 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 = [tex]x[/tex]

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

[tex]57800=21.4\%\ of\ x\\\\ 57800=\frac{21.4}{100} \times x\\\\ 57800=0.214 x[/tex]

By dividing both sides by 0.214

[tex]\frac{57800}{0.214}=\frac{0.214 x}{0.214} \\ \\ 270093.45=x[/tex]

Therefore, total number of registered doctors are 270093.