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In a survey of 300 people, 150 like chocolate, 100 like vanilla, and 50 like bot

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What’s inside this PDF?

Question: In a survey of 300 people, 150 like chocolate, 100 like vanilla, and 50 like both. How many like only chocolate?

Options:

  1. 100
  2. 150
  3. 50
  4. 200

Correct Answer: 100

Solution: 

People who like only chocolate = Total chocolate lovers - Both chocolate and vanilla lovers = 150 - 50 = 100.

In a survey of 300 people, 150 like chocolate, 100 like vanilla, and 50 like bot

Practice Questions

Q1
In a survey of 300 people, 150 like chocolate, 100 like vanilla, and 50 like both. How many like only chocolate?
  1. 100
  2. 150
  3. 50
  4. 200

Questions & Step-by-Step Solutions

In a survey of 300 people, 150 like chocolate, 100 like vanilla, and 50 like both. How many like only chocolate?
  • Step 1: Identify the total number of people who like chocolate, which is 150.
  • Step 2: Identify the number of people who like both chocolate and vanilla, which is 50.
  • Step 3: To find the number of people who like only chocolate, subtract the number of people who like both from the total chocolate lovers: 150 - 50.
  • Step 4: Calculate the result: 150 - 50 = 100.
  • Step 5: The final answer is that 100 people like only chocolate.
  • Set Theory – Understanding how to calculate the number of people in overlapping sets using basic principles of inclusion-exclusion.
  • Basic Arithmetic – Performing simple subtraction to find the number of individuals in a specific category.
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