Question

In a recent year, 29.7% of all registered doctors were female. If there were 42,300 female registered doctors that year, what was the total number of registered doctors?Round your answer to the nearest whole number.

Answer 1

142,424 doctors

Step-by-step explanation

We have that 29.7% of all registered doctors were female and 42,300 female doctors were registered that year.

Let the total number of registered doctors that year be x.

This means that 29.7% of x is 42,300.

Therefore:

`\begin{gathered} (29.7)/(100)\cdot\text{ x = 42300} \\ \text{Divide both sides by 29.7 and multiply by 100:} \\ x\text{ = }\frac{\text{42300 }\cdot\text{ 100}}{29.7} \\ x\text{ }\cong\text{ 142,424 doctors} \end{gathered}`

A total of 142,424 doctors were registered that year.