https://file.aiquickdraw.com/mathbot/file/1729875417510s61ta8zo.jpg

Let's break down the information given in the problem:

- 80% of people who responded own a pet.
- 20% of people do not own a pet.
- 10% of those who own a pet own a hamster.

Now, to find the percentage of the total respondents who own a hamster:

1. Since 80% of respondents own a pet, and 10% of those pet owners own a hamster, we need to find 10% of 80%. 
   
   \[
   10\% \text{ of } 80\% = 0.10 \times 0.80 = 0.08 = 8\%
   \]

So, 8% of the total respondents own a hamster.

### Final Answer:  
**8%** of the people who responded own a hamster.

Would you like further details or have any questions? Here are some related questions to explore:

1. If 500 people responded to the survey, how many own a hamster?
2. What percentage of people who responded own a pet but do not own a hamster?
3. If 20% of the pet owners also own a cat, what percentage of respondents own a cat?
4. What would the percentage of hamster owners be if 15% of pet owners owned hamsters instead of 10%?
5. How would the percentage of hamster owners change if only 70% of respondents owned pets?

**Tip:** Always check if you're working with percentages of a total or a subset of a group, as it can affect the calculations.

Georgia carried out a survey asking people about the pets they own. 80% of the people who responded own a pet and 20% do not own a pet. 10% of the people who own a pet own a hamster. What percentage of the people who responded own a hamster?

Find the percentage of people who own a hamster based on a survey where 80% own pets and 10% of those own a hamster. This problem explores the concepts of percentages and basic ratios. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation