5. (10 points) At the end of the term, Teacher XiXi bought the same number of ballpoint pens, fountain pens, and erasers to distribute to the students in the class. After giving each student 2 fountain pens, 3 ballpoint pens, and 4 erasers, she found that there were 48 ballpoint pens left, and the remaining number of fountain pens was exactly twice the remaining number of erasers. Smart you, quickly calculate how many students are in Teacher XiXi's class. $\qquad$
【Solution】Solve: $48-48 \times[(2+4) \div 3] \div(2+1)$
$$
\begin{array}{l}
=48-48 \times 2 \div 3 \\
=48-32 \\
=16 \text { (students) }
\end{array}
$$

Answer: There are a total of 16 students in Teacher XiXi's class.
Therefore, the answer is: 16.