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In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both.

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Question: In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both. How many like only chocolate?

Options:

  1. 30
  2. 40
  3. 50
  4. 20

Correct Answer: 30

Solution:

To find the number of people who like only chocolate, we subtract those who like both from those who like chocolate: 60 - 20 = 40.

In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both.

Practice Questions

Q1
In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both. How many like only chocolate?
  1. 30
  2. 40
  3. 50
  4. 20

Questions & Step-by-Step Solutions

In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both. How many like only chocolate?
  • Step 1: Identify the total number of people who like chocolate, which is 60.
  • Step 2: Identify the number of people who like both chocolate and vanilla, which is 20.
  • 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 chocolate lovers: 60 - 20.
  • Step 4: Calculate the result: 60 - 20 = 40.
  • Step 5: The final answer is that 40 people like only chocolate.
  • Set Theory – Understanding the relationships between different groups and how to calculate the number of elements in overlapping sets.
  • Venn Diagrams – Using visual representations to analyze the distribution of preferences among survey respondents.
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