If 25% of a population likes apples, 35% likes oranges, and 10% likes both, what

Practice Questions

Q1
If 25% of a population likes apples, 35% likes oranges, and 10% likes both, what percentage likes only apples?
  1. 15%
  2. 25%
  3. 10%
  4. 5%

Questions & Step-by-Step Solutions

If 25% of a population likes apples, 35% likes oranges, and 10% likes both, what percentage likes only apples?
  • Step 1: Understand that 25% of the population likes apples.
  • Step 2: Understand that 10% of the population likes both apples and oranges.
  • Step 3: To find the percentage of people who like only apples, subtract the percentage of people who like both from the percentage of people who like apples.
  • Step 4: Calculate: 25% (people who like apples) - 10% (people who like both) = 15%.
  • Step 5: Conclude that 15% of the population likes only apples.
  • Set Theory – Understanding the relationships between different groups and how to calculate exclusive preferences.
  • Percentage Calculation – Calculating percentages based on given data and understanding overlaps in preferences.
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