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In a survey, 80% of people like tea, 60% like coffee, and 30% like both. What pe

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Question: In a survey, 80% of people like tea, 60% like coffee, and 30% like both. What percentage of people like only tea?

Options:

  1. 50%
  2. 30%
  3. 20%
  4. 10%

Correct Answer: 50%

Solution: 

Percentage of people who like only tea = Percentage of tea - Both = 80% - 30% = 50%.

In a survey, 80% of people like tea, 60% like coffee, and 30% like both. What pe

Practice Questions

Q1
In a survey, 80% of people like tea, 60% like coffee, and 30% like both. What percentage of people like only tea?
  1. 50%
  2. 30%
  3. 20%
  4. 10%

Questions & Step-by-Step Solutions

In a survey, 80% of people like tea, 60% like coffee, and 30% like both. What percentage of people like only tea?
  • Step 1: Understand that 80% of people like tea.
  • Step 2: Understand that 30% of people like both tea and coffee.
  • Step 3: To find the percentage of people who like only tea, subtract the percentage of people who like both from the percentage of people who like tea.
  • Step 4: Perform the calculation: 80% (like tea) - 30% (like both) = 50%.
  • Step 5: Conclude that 50% of people like only tea.
  • Set Theory – Understanding the relationships between different groups, specifically using Venn diagrams to visualize overlaps.
  • Percentage Calculation – Calculating percentages based on given data and understanding how to manipulate them to find specific subsets.
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