In a survey of 50 people, 30 like chocolate, 20 like vanilla, and 10 like both.

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Question: In a survey of 50 people, 30 like chocolate, 20 like vanilla, and 10 like both. How many people like only chocolate?

Options:

Correct Answer: 20

Solution:

The number of people who like only chocolate is calculated as: Chocolate only = Total Chocolate - Both = 30 - 10 = 20.

In a survey of 50 people, 30 like chocolate, 20 like vanilla, and 10 like both. How many people like only chocolate?

In a survey of 50 people, 30 like chocolate, 20 like vanilla, and 10 like both. How many people like only chocolate?

Step 1: Identify the total number of people who like chocolate. This is given as 30.
Step 2: Identify the number of people who like both chocolate and vanilla. This is given as 10.
Step 3: To find the number of people who like only chocolate, subtract the number of people who like both from the total number of people who like chocolate.
Step 4: Perform the calculation: 30 (total chocolate) - 10 (both) = 20.
Step 5: The result shows that 20 people like only chocolate.

Set Theory – Understanding the relationships between different groups, specifically how to calculate the number of individuals in overlapping sets.
Venn Diagrams – Using visual representations to understand the distribution of preferences among survey respondents.