https://file.aiquickdraw.com/mathbot/file/1729606128845zvj3sw65.jpg

Let's analyze the Venn diagram and answer the questions:

### Given Information:
- The Venn diagram shows the survey results for 649 people.
- Each number in the Venn diagram represents how many people fall into each category.

### Step-by-Step Analysis:

1. **People who own exactly one type of animal:**
   - These are the people who are in only one category:
     - Own only a fish: \(47\)
     - Own only a cat: \(38\)
     - Own only a bird: \(102\)
   - Total for exactly one type: \(47 + 38 + 102 = 187\).

   **Answer (a)**: 187 people.

2. **People who own a cat (including all combinations that involve a cat):**
   - Own only a cat: \(38\)
   - Own a cat and a fish: \(135\)
   - Own a cat and a bird: \(54\)
   - Own all three: \(68\)
   - Total owning a cat: \(38 + 135 + 54 + 68 = 295\).

   **Answer (b)**: 295 people.

3. **People who own both a bird and a fish, but don’t own a cat:**
   - This category is represented by the number \(123\) in the Venn diagram.
   
   **Answer (c)**: 123 people.

Let me know if you have questions or need a deeper explanation! 

Here are 5 related questions you might find interesting:
1. How many people own a fish?
2. How many people own both a cat and a bird, but not a fish?
3. How many people own at least one type of animal?
4. How many people own exactly two types of animals?
5. How many people do not own any pets?

**Tip:** Venn diagrams are a great tool for visualizing and solving problems involving sets and overlaps!

A pet store surveyed 649 people to see how many own a fish, how many own a cat, and how many own a bird. The Venn diagram below shows the results. (Each number gives the number of people who fall into that Venn diagram category.)

Learn how to analyze a survey using a Venn diagram to determine how many people own exactly one pet, how many own a cat, and how many own both a bird and a fish but not a cat. This problem involves set theory and is suitable for students in Grades 6-9.

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