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In a survey, 70% of respondents like chocolate, 50% like vanilla, and 20% like b

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Question: In a survey, 70% of respondents like chocolate, 50% like vanilla, and 20% like both. What percentage of respondents like only chocolate?

Options:

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

Correct Answer: 50%

Solution: 

The percentage of respondents who like only chocolate is |Chocolate| - |Both| = 70% - 20% = 50%.

In a survey, 70% of respondents like chocolate, 50% like vanilla, and 20% like b

Practice Questions

Q1
In a survey, 70% of respondents like chocolate, 50% like vanilla, and 20% like both. What percentage of respondents like only chocolate?
  1. 50%
  2. 30%
  3. 40%
  4. 20%

Questions & Step-by-Step Solutions

In a survey, 70% of respondents like chocolate, 50% like vanilla, and 20% like both. What percentage of respondents like only chocolate?
  • Step 1: Understand that 70% of respondents like chocolate.
  • Step 2: Understand that 20% of respondents like both chocolate and vanilla.
  • Step 3: To find the percentage of respondents who like only chocolate, subtract the percentage of those who like both from the percentage who like chocolate.
  • Step 4: Perform the calculation: 70% (like chocolate) - 20% (like both) = 50%.
  • Step 5: Conclude that 50% of respondents like only chocolate.
  • Set Theory – Understanding the relationships between different groups, specifically using the principle of inclusion-exclusion.
  • Percentage Calculation – Calculating percentages based on given data and understanding how to isolate specific groups within a survey.
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