Question

in a recent year, 17.8% of all registered doctors were female. if there were 57,300 female registered doctors that year, what was the total number of registered doctors?
round your answer to the nearest whole number.
registered doctors

Explanation:

Step1: Define the variable

Let \( x \) be the total number of registered doctors.

Step2: Set up the equation

We know that \( 17.8\% \) of \( x \) is equal to 57,300. Mathematically, this can be written as \( 0.178x = 57300 \) (since \( 17.8\% = \frac{17.8}{100}=0.178 \)).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.178: \( x=\frac{57300}{0.178} \).
Calculating this division: \( \frac{57300}{0.178}\approx321910.11 \).

Step4: Round to the nearest whole number

Rounding 321910.11 to the nearest whole number gives 321910.

Answer:

321910