B3. At the station, 70 students gathered. They were from Ljubljana, Celje, and Maribor. Students from Maribor and Ljubljana together were as many as those from Celje, and students from Celje and Maribor together were six times as many as those from Ljubljana. How many students were from each city? Write down the answer.
B3. Let $x$ be the number of students from Ljubljana, $y$ the number of students from Celje, and $z$ the number of students from Maribor. Then, $x+y+z=70, x+z=y$, and $y+z=6 x$. The solution to the system is $x=10, y=35, z=25$. There were 10 students from Ljubljana, 35 students from Celje, and 25 students from Maribor.

![](https://cdn.mathpix.com/cropped/2024_06_07_bce9c6e2a6f4f88bb0deg-11.jpg?height=128&width=1642&top_left_y=1255&top_left_x=273)

![](https://cdn.mathpix.com/cropped/2024_06_07_bce9c6e2a6f4f88bb0deg-11.jpg?height=51&width=1639&top_left_y=1371&top_left_x=274)

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