2. The students went to see an exhibition and had to pay 120 EUR for the bus fare. Since three students fell ill, each of the remaining students had to pay an additional 2 EUR for the transport. How many students signed up for the exhibition?
2. From the text, we write the equations $n \cdot c=120$ and $(n-3)(c+2)=120$. Solving the resulting system of equations, we get the quadratic equation $c^{2}+2 c-80=0$. Considering the positive solution $c=8$ and calculating $n=15$.

![](https://cdn.mathpix.com/cropped/2024_06_07_93a0a0489a8a740fd9e9g-11.jpg?height=60&width=1639&top_left_y=1009&top_left_x=206)

![](https://cdn.mathpix.com/cropped/2024_06_07_93a0a0489a8a740fd9e9g-11.jpg?height=57&width=1639&top_left_y=1062&top_left_x=206)

Solving the system .................................................................................................................................

![](https://cdn.mathpix.com/cropped/2024_06_07_93a0a0489a8a740fd9e9g-11.jpg?height=57&width=1639&top_left_y=1162&top_left_x=206)

![](https://cdn.mathpix.com/cropped/2024_06_07_93a0a0489a8a740fd9e9g-11.jpg?height=57&width=1642&top_left_y=1211&top_left_x=207)

Answer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 point