3. After conducting a survey among 96 sixth-grade students at his school, Leo drew a bar chart as shown in the image, but he did not highlight the numbers on the vertical axis or the names of the sports on the horizontal axis. He remembered that the number of students who swim is five times the number of students who play tennis, and twice the number of students who play handball. There are fewer basketball players than water polo players. How many students play basketball?

![](https://cdn.mathpix.com/cropped/2024_06_03_47603db0a075197c1d6ag-5.jpg?height=599&width=902&top_left_y=1628&top_left_x=583)
First solution.

![](https://cdn.mathpix.com/cropped/2024_05_30_1ae5e90785d026149547g-15.jpg?height=446&width=677&top_left_y=1459&top_left_x=238)

From the condition of the problem that "five times more students swim than play tennis" and the ratio of the heights of the third and first bars, we conclude that the third bar represents swimmers, and the first bar represents tennis players.

As can be seen from the image, we have 24 unit parts. 1 POINT One unit part is $96: 24=4$. 1 POINT From the condition of the problem that "swimming is twice as popular as handball," we conclude that the fourth bar represents handball players.

1 POINT

From the condition of the problem that "there are fewer basketball players than water polo players," and the remaining are the second and fifth bars, we conclude that the second bar represents basketball players.

1 POINT

12 students play basketball.

1 POINT

TOTAL 6 POINTS

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