2. To the math competition, students, pupils, and their teachers came. For every 4 boys, 6 girls arrived, and for every 18 girls, one teacher came. A total of 620 people arrived at the competition. How many boys, how many girls, and how many teachers came to the competition?
2. Let $m$ be the number of boys, $n$ be the number of girls, and $u$ be the number of teachers who came to the competition.

Then, $m: n=4: 6$ and $n: u=18: 1$.

Since $m: n=4: 6=12: 18$, it follows that $m: n: u=12: 18: 1=12 t: 18 t: 1 t, t \in \mathbb{N}$.

Further, $12 t+18 t+1 t=620$

2 POINTS

so $t=20$.

1 POINT

In the end, $m=240, n=360, u=20$.

To the competition, 240 boys, 360 girls, and 20 teachers traveled. 2 POINTS

TOTAL 6 POINTS