B4 If all students in the class were to sit in their own desks, there would be 11 desks too few. If, however, two students were to sit at each desk, there would be 5 desks too many. How many desks and how many students are there in the class?

(7 points)

Space for solving the problems of set $B$.

![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-04.jpg?height=86&width=446&top_left_y=200&top_left_x=1456)

## PROBLEMS FOR THE SECOND YEAR

Time for solving: 90 minutes. In set A, a correct answer will be worth two points, while a wrong answer will result in a deduction of half a point. Enter the answers for set A in the left table.
![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-04.jpg?height=172&width=1196&top_left_y=576&top_left_x=446)
B4. Let the number of students be $x$ and the number of desks be $y$. From the problem statement, we can write the equations $x=y+11$ and $\frac{x}{2}=y-5$. Solving the system $x=y+11, x=2y-10$, the solution is $x=32$ and $y=21$. Therefore, there are 21 desks and 32 students in the class.

![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-11.jpg?height=60&width=1674&top_left_y=2397&top_left_x=231)

![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-11.jpg?height=57&width=1674&top_left_y=2447&top_left_x=228)

![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-11.jpg?height=54&width=1670&top_left_y=2497&top_left_x=233)

![](https://cdn.mathpix.com/cropped/2024_06_07_c987701c9bb62194911fg-11.jpg?height=51&width=1674&top_left_y=2550&top_left_x=231)

Answer: There are 21 desks and 32 students in the class .............................................. 1 point
}

## Second Year

## Set A

| A1 | A2 | A3 | A4 | A5 | A6 |
| :---: | :---: | :---: | :---: | :---: | :---: |
| D | A | C | A | E | A |