Question

In a recent year, 28.2% of all registered doctors were female. If there were 41,800 female registered doctors that year, what was the total number of registered doctors? Round your answer to the neare

Answer 1

To determine the total number of registered doctors, divide the number of female doctors, 41,800, by the percentage of doctors that are female expressed as a decimal (0.282), resulting in 148,227 registered doctors after rounding to the nearest whole number.

Step-by-step explanation:

To find the total number of registered doctors when 28.2% are female and there are 41,800 female registered doctors, you can set up a proportion where 28.2% is to 41,800 as 100% is to the total number of doctors. The equation to find the total number is: 41,800 divided by 0.282 (which is 28.2% in decimal form).

Firstly, convert the percentage to a decimal by dividing it by 100:

• 28.2% ÷ 100 = 0.282

Then divide the number of female doctors by this decimal value:

• Total doctors = 41,800 ÷ 0.282

This gives you:

• Total doctors = 148,227.07

When rounding to the nearest whole number, the total number of registered doctors is approximately 148,227.