Question

In a recent year, 28% of all college students were enrolled part-time. If 6.6 million college students were enrolled part-time that year, what was the total number of college students?Round your answer to the nearest million

Answer 1

We are given the following information

28% of all college students were enrolled part-time

6.6 million college students were enrolled part-time

What was the total number of college students?

As you can see, 28% of students (that is 6.6 million) were enrolled part-time.

We want to find out the total number of students.

We can solve such questions using proportions

`(partial\: percentage)/(100)=\frac{\text{partial students}}{\text{total students}}`

Here partial percentage = 28%

Partial students = 6.6 million

Total students = the unknown that we want to find out

`\begin{gathered} (partial\: percentage)/(100)=\frac{\text{partial students}}{\text{total students}} \\ (28)/(100)=\frac{6.6}{\text{total students}} \\ 0.28=\frac{6.6}{\text{total students}} \\ \text{total students=}(6.6)/(0.28) \\ \text{total students}=23.57 \\ \text{total students}=24\: \text{million} \end{gathered}`

We rounded off the answer to the nearest million.

Therefore, the total number of college students was 24 million.