Question

In a recent year, 26.3% of all registered doctors were female. If there were 47,400 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.

Answer 1

From the problem statement we can write:

47,400 is 26.3% of total registered doctors

We need to convert this word equation to algebraic equation noting that,

• "is" means "="

,

• "of" means "x"

Also, remember to convert the percentage to decimal by dividing by 100,

`(26.3)/(100)=0.263`

The algebraic equation, thus, is:

`47,400=0.263*\text{total}`

We let total be "t" and solve :

`\begin{gathered} 47,400=0.263t \\ t=(47,400)/(0.263) \\ t=180228.14 \end{gathered}`

Rounding to the nearest whole number,

Total Registered Doctors = 180,228

Answer:

180,228