B2. Andrej collected data for a school project about his TV watching habits during the weekend. He spent half of the time watching sports, a third of the time watching movies, and the rest of the time watching cartoons with his younger sister. They watched cartoons for one and a half hours.

$$
\begin{array}{ll}
\text { SATURDAY } & \text { 9:30 - 10:30 } \\
& \text { 13:00 - 15:30 } \\
& \text { 20:00 - 22:00 } \\
\text { SUNDAY } & \text { 13:00 - 14:30 } \\
& 20: 00-?
\end{array}
$$

Until what time did Andrej watch TV on Sunday evening? Write your answer.
B2. Let $x$ denote the time Andrej spent watching TV on Sunday evening. Andrej spent a total of $1 h + 2.5 h + 2 h + 1.5 h + x h = (7 + x) h$ watching TV on Saturday and Sunday.

Considering that he watched sports for $\frac{1}{2}$ of the time $\left(\frac{1}{2}(x + 7)\right)$, movies for $\frac{1}{3}$ of the time $\left(\frac{1}{3}(x + 7)\right)$, and cartoons for $1 \frac{1}{2} h$, we can write the equation $\frac{7 + x}{2} + \frac{7 + x}{3} + 1 \frac{1}{2} = 7 + x$. The solution to the equation is $x = 2$. On Sunday, he watched TV until 10 PM.

## Scoring: Total: 7 points

Calculation of the total time spent watching TV: $1 h + 2.5 h + 2 h + 1.5 h + x h = (7 + x) h \mathbf{1} \mathbf{t}$ Writing the equation: $\frac{7 + x}{2} + \frac{7 + x}{3} + 1 \frac{1}{2} = 7 + x \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots$

![](https://cdn.mathpix.com/cropped/2024_06_07_ebb644290349f46f6f8bg-7.jpg?height=49&width=1573&top_left_y=1706&top_left_x=276)

Answer, e.g.: Andrej watched TV until 10 PM on Sunday. ......................... 1 t (If the student used a different solving method from the one provided, which must be visible from the work, and wrote the correct answer, they receive 7 points.)