Question

In a recent year, 17.3% of all registered doctors were female. If there were 41,400 female registered doctors that year, what was the total number of registered doctors?

Round your answer to the nearest whole number.

Answer 1

Answer: 239,306 total registered doctors

Explanation:

1. Form the ratio of amount of female doctors(41,400) to total amount of doctors(x) and compare it to percent of female doctors in the field(17.3) to total percent of doctors(100).

`(41400)/(x)=(17.3)/(100)`

2. Cross Multiply the amount of female doctors(41,400) to the total percent of doctors(100) so that it stays equal to the percent of female doctors(17.3) to the amount of doctors(x).

`41400*100 = 17.3x`

3. Simplify

• Start by multiplying the amount of female doctors(41,400) by the total percent(100) to get 4.240.000 to keep both sides equal
  `414*10^(4) = 17.3x`
• Then apply the division property of equality by dividing both sides of the equality by the percent of female doctors to the amount of doctors(17.3).

`(414*10^(4) )/(17.3) = (17.3x)/(17.3)`

• After dividing both sides by 17.3 you will find out that there are about 239,306 registered doctors.