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
[tex]\frac{partial\: percentage}{100}=\frac{\text{partial students}}{\text{total students}}[/tex]Here partial percentage = 28%
Partial students = 6.6 million
Total students = the unknown that we want to find out
[tex]\begin{gathered} \frac{partial\: percentage}{100}=\frac{\text{partial students}}{\text{total students}} \\ \frac{28}{100}=\frac{6.6}{\text{total students}} \\ 0.28=\frac{6.6}{\text{total students}} \\ \text{total students=}\frac{6.6}{0.28} \\ \text{total students}=23.57 \\ \text{total students}=24\: \text{million} \end{gathered}[/tex]We rounded off the answer to the nearest million.
Therefore, the total number of college students was 24 million.
