EXPLANATION:
From the data provided, 46% of all college students were enrolled part-time.
We also know that this percentage is represented by 7.8 million students. If the total number of students is given as x, then we can derive the following equation;
[tex]Total=\begin{cases}46\text{\%=7.8m} \\ 100\text{\%=x} \\ \square\end{cases}[/tex][tex]\frac{7.8}{46}=\frac{x}{100}[/tex]
Cross multiply the above equation and you'll have;
[tex]\begin{gathered} \frac{7.8\times100}{46}=x \\ 16.9665=x \\ \text{Rounded to the nearet million, } \\ x\approx17 \end{gathered}[/tex]
ANSWER:
The total number of students (rounded to the nearest million) therefore is 17 million.
