Answer:
Based on the given information, we can complete the Venn diagram as follows:
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| |
| B |
|______|
/\
/ \
/ \
| |
| T |
|______|
In the Venn diagram, the circle labeled "B" represents the students who have ballet lessons, and the circle labeled "T" represents the students who have tap lessons.
According to the information given:
- 31 students have ballet lessons (B)
- 27 students have tap lessons (T)
- 18 students have both ballet and tap lessons (B ∩ T)
To complete the Venn diagram, we place the number 18 in the overlapping region of circles B and T, indicating that 18 students have both ballet and tap lessons.
The number of students who have only ballet lessons is calculated as 31 - 18 = 13, and the number of students who have only tap lessons is calculated as 27 - 18 = 9.
Therefore, the completed Venn diagram represents the given information about the number of students who have ballet lessons, tap lessons, and both.
Explanation: