https://file.aiquickdraw.com/mathbot/file/1737391075007b5ye8lw5.jpg

https://file.aiquickdraw.com/mathbot/file/1737391075008xuefb8zm.jpg

The images you provided show a pie chart that breaks down the results of a survey about people's favorite card games. Here's how to solve the problem:

We know that:
- 7 people said their favorite game was Whist.
- The section for Whist corresponds to 210° in the pie chart.
- The full circle of the pie chart represents 360°.

To determine the total number of people who answered the survey, we use the ratio of the number of people who prefer Whist to the fraction of the circle that represents Whist. This relationship is expressed as:

\[
\frac{\text{Number of people who prefer Whist}}{\text{Total number of people}} = \frac{210^\circ}{360^\circ}
\]

Substitute the known value for Whist (7 people):

\[
\frac{7}{\text{Total}} = \frac{210}{360}
\]

Now solve for the total number of people who answered the survey:

\[
\text{Total} = \frac{7 \times 360}{210} = \frac{2520}{210} = 12
\]

So, 12 people answered the survey in total.

Let me know if you'd like more explanation or details on any part of the solution! 

Here are 5 related questions:
1. How do you calculate the number of people who prefer each of the other card games?
2. What is the method to find the angle corresponding to a certain percentage in a pie chart?
3. How can proportions and ratios be used to solve survey-based problems?
4. What does it mean when the pie chart is not drawn accurately, and how does it affect the calculations?
5. How could you represent survey data using a bar graph instead of a pie chart?

Tip: When working with pie charts, always check the angles and their relationship to the total number of respondents, as this will help you solve for any unknowns.

In a survey, 7 people said that their favourite card game was whist. How many people answered the survey in total?

Learn how to solve for the total number of survey respondents using proportional reasoning. In this problem, 7 people chose Whist as their favourite card game, and the angle for Whist in a pie chart is 210°. Find out how to calculate the total number of people in the survey.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation