6. (10 points) The students in the youth summer camp come from 4 municipalities, with $\frac{1}{6}$ of the students from Shanghai, 24 students from Tianjin, the number of students from Beijing is $\frac{3}{2}$ times the sum of the number of students from Shanghai and Tianjin, and $\frac{1}{4}$ of the students are from Chongqing. How many students are there in the youth summer camp?
180
【Analysis】This problem can be solved by setting up an equation. Let the total number of students be $x$. Among them, $\frac{1}{6}$ of the students are from Shanghai, and $\frac{1}{4}$ are from Chongqing. Therefore, the proportion of students from Beijing and Tianjin is $1-\frac{1}{6}-\frac{1}{4}$, which is $\left(1-\frac{1}{6}-\frac{1}{4}\right) x$ students. Given that 24 students are from Tianjin, the number of students from Beijing is $\left(1-\frac{1}{6}-\frac{1}{4}\right) x-24$. The number of students from Beijing is $\frac{3}{2}$ times the sum of the students from Shanghai and Tianjin. There are $\frac{1}{6} x$ students from Shanghai, so the total number of students from Shanghai and Tianjin is $\frac{1}{6} x+24$. Therefore, the number of students from Beijing is $\frac{3}{2}\left(\frac{1}{6} x+24\right)$. This leads to the equation: $\left(1-\frac{1}{6}-\frac{1}{4}\right) x-24=\frac{3}{2}\left(\frac{1}{6} x+24\right)$. Solving this equation will give the answer.

【Solution】Let the number of students in the summer camp be $x$. According to the problem, we set up the equation:
$$
\begin{aligned}
\left(1-\frac{1}{6}-\frac{1}{4}\right) x-24 & =\frac{3}{2}\left(\frac{1}{6} x+24\right) \\
\frac{7}{12} x-24 & =\frac{1}{4} x+36, \\
\frac{1}{3} x & =60, \\
x & =180 .
\end{aligned}
$$

Answer: The total number of students in the summer camp is 180.
The answer is: 180.