Question

In a recent year, 24.8% of all registered doctors were female. If there were 54,100 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.

Answer 1

To solve for total number of registered doctors:

Step-by-step explanation:

The questions says, "24.8% of all registered doctors are females"

(Consider, total number of registered doctors as x)

that's,

`\begin{gathered} 24.8\text{ \% of the x are female registered doctor} \\ 24.8\text{ \% of x = 54,100} \end{gathered}`

Mathematically,

`\begin{gathered} (24.8)/(100).x=54,100 \\ \text{cross multiply} \\ 24.8x=54,100\text{ x 100} \\ 24.8x=5410000 \\ (24.8x)/(24.8)=(5410000)/(24.8) \\ x=218145.16 \\ x\approx218,145\text{ (nearest whole number)} \end{gathered}`

Therefore the total number of registered doctors ≈ 218,145