If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the

Practice Questions

Q1
If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the percentage of people who prefer only tea?
  1. 30%
  2. 20%
  3. 15%
  4. 25%

Questions & Step-by-Step Solutions

If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the percentage of people who prefer only tea?
  • Step 1: Identify the percentage of people who prefer tea, which is 45%.
  • Step 2: Identify the percentage of people who prefer both tea and coffee, which is 15%.
  • Step 3: To find the percentage of people who prefer only tea, subtract the percentage of people who prefer both from the percentage of people who prefer tea.
  • Step 4: Perform the subtraction: 45% (prefer tea) - 15% (prefer both) = 30%.
  • Step 5: The result, 30%, is the percentage of people who prefer only tea.
  • Set Theory – Understanding the relationships between different groups, specifically how to calculate the exclusive preferences in a survey.
  • Percentage Calculation – Ability to perform basic arithmetic operations with percentages to derive specific values.
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