Question

In a recent year, 32.6% of all registered doctors were female. If there were 41,500 female doctors that year, what was the total number of registered doctors?

Answer 1

The total number of registered doctors was approximately 127,300 in that year, calculated by setting up a proportion based on the given percentage of female doctors.

To find the total number of registered doctors, we can set up a proportion based on the given percentage of female doctors.

Let x be the total number of registered doctors. The percentage of female doctors is 32.6%, which can be expressed as the fraction

`\( (32.6)/(100) \)`.

The equation for the proportion is:

`\[ (41,500)/(x) = (32.6)/(100) \]`

To solve for x, cross-multiply:

`\[ 100 * 41,500 = 32.6 * x \]`

`\[ 4,150,000 = 32.6 * x \]`

Now, solve for x :

`\[ x = (4,150,000)/(32.6) \]`

`\[ x \approx 127,300 \]`

Therefore, the total number of registered doctors in that year was approximately 127,300.