Class student calculation

About an eighth of the 9th-grade students are interested in studying at the academy, about a sixth at the gymnasium, one quarter at the SOU, one-third at the vocational school, and 3 students at art schools. How many pupils are there in the class?

Final Answer:

n =  24

Step-by-step explanation:

$$\begin{gathered} \frac{n}{8}+\frac{n}{6}+\frac{n}{4}+\frac{n}{3}+3=n \\ n/8+n/6+n/4+n/3+3=n \\ 3n=72 \\ n=\frac{72}{3}=24 \\ n=24 \end{gathered}$$

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