If 80% of a group like sports, 50% like music, and 30% like both, what percentag

Practice Questions

Q1
If 80% of a group like sports, 50% like music, and 30% like both, what percentage like only sports?
  1. 50%
  2. 30%
  3. 20%
  4. 80%

Questions & Step-by-Step Solutions

If 80% of a group like sports, 50% like music, and 30% like both, what percentage like only sports?
  • Step 1: Understand that 80% of the group likes sports.
  • Step 2: Understand that 30% of the group likes both sports and music.
  • Step 3: To find the percentage of people who like only sports, subtract the percentage of people who like both from the percentage of people who like sports.
  • Step 4: Calculate: 80% (like sports) - 30% (like both) = 50%.
  • Step 5: Therefore, 50% of the group likes only sports.
  • 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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