https://file.aiquickdraw.com/mathbot/file/17299651564253awsagu1.jpg

Let's analyze the information from the Venn diagram in your image.

The survey dataLet's analyze the information from the Venn diagram in your image.

The survey 
- 119 people own only a cat.
- 77 people own only a dog.
- 68 people own both a cat and a dog.
- 73 people do not own either a cat or a dog.

Let's solve each part based on this information:

### (a) How many of the people do not own a dog?
To find the number of people who do not own a dog, add:
- People who own only a cat: 119
- People who do not own either pet: 73

\[
119 + 73 = 192
\]

**Answer for (a):** 192 people do not own a dog.

### (b) How many of the people own both a cat and a dog?
From the Venn diagram, 68 people own both a cat and a dog.

**Answer for (b):** 68 people own both a cat and a dog.

### (c) How many of the people own a cat or a dog (or both)?
To find the total number of people who own either a cat, a dog, or both:
- People who own only a cat: 119
- People who own only a dog: 77
- People who own both a cat and a dog: 68

Add these values:

\[
119 + 77 + 68 = 264
\]

**Answer for (c):** 264 people own a cat or a dog (or both).

Would you like further details on any of these answers, or have other questions?

Here are 5 related questions to deepen understanding:
1. How many people own only one type of pet?
2. What percentage of the surveyed people own both a cat and a dog?
3. What percentage of the surveyed people do not own any pets?
4. How many people own at least one pet?
5. What is the probability that a randomly selected person owns a dog?

**Tip:** Venn diagrams are useful for visualizing overlapping groups and making it easier to analyze data with shared categories.

A pet store surveyed 337 people to see how many own a cat and how many own a dog. The Venn diagram shows the results. (Each number gives the number of people who fall into that Venn diagram category.)
(a) How many of the people do not own a dog?
(b) How many of the people own both a cat and a dog?
(c) How many of the people own a cat or a dog (or both)?

Solve a Venn diagram problem where a pet store surveyed 337 people to see how many own a cat, a dog, or both. Learn how to calculate the number of people who do not own a dog, those who own both a cat and a dog, and the total who own either a cat or a dog.

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