https://file.aiquickdraw.com/mathbot/file/17296029543881c9c8wjw.jpg

Let's solve the three questions based on the Venn diagram in the image you provided.

### Given Information:
- The Venn diagram categorizes students who drink tea, soda, and milk.
- Each number inside the Venn diagram corresponds to the number of students in that specific category.

### Part (a) How many of the students drink tea?

To find how many students drink tea, we need to sum all the regions within the "Drink tea" circle, which are:
- 115 (only drink tea),
- 138 (drink both tea and milk),
- 61 (drink both tea and soda),
- 33 (drink tea, soda, and milk).

Thus, the total number of students who drink tea:
\[
115 + 138 + 61 + 33 = 347
\]

So, **347 students** drink tea.

### Part (b) How many of the students drink neither tea nor milk?

To find this, we need to look for students who only drink soda and do not drink tea or milk. In the Venn diagram, this is represented by the number outside the circles for tea and milk, but inside the "Drink soda" circle:
- 103 (only drink soda).

So, **103 students** drink neither tea nor milk.

### Part (c) How many of the students drink both soda and milk, but don’t drink tea?

For this, we need to find the students in the intersection of "Drink soda" and "Drink milk" but outside the "Drink tea" circle:
- 92 (drink both soda and milk, but not tea).

So, **92 students** drink both soda and milk but don’t drink tea.

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Would you like more details on any of these? Here are some related questions you might find useful:

1. How many students drink both tea and soda?
2. How many students drink only milk?
3. How many students drink only one of the three drinks?
4. How many students drink all three drinks?
5. How many students drink none of the three drinks?

**Tip:** When dealing with Venn diagrams, always start by analyzing the innermost regions (students who belong to all sets) and then work your way outward for clarity.

A college food court surveyed 625 students to see how many drink tea, how many drink soda, and how many drink milk. Based on the Venn diagram provided, how many students drink tea, drink neither tea nor milk, and drink both soda and milk but don’t drink tea?

This Venn diagram analysis problem surveys 625 students' drinking habits, focusing on tea, soda, and milk. Learn how to solve questions about students drinking tea, neither tea nor milk, and both soda and milk. Suitable for high school students, grades 9-12.

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