If 25% of a group like sports, 15% like music, and 5% like both, what percentage

Practice Questions

Q1
If 25% of a group like sports, 15% like music, and 5% like both, what percentage like either sports or music?
  1. 35%
  2. 30%
  3. 25%
  4. 20%

Questions & Step-by-Step Solutions

If 25% of a group like sports, 15% like music, and 5% like both, what percentage like either sports or music?
  • Step 1: Identify the percentage of people who like sports, which is 25%.
  • Step 2: Identify the percentage of people who like music, which is 15%.
  • Step 3: Identify the percentage of people who like both sports and music, which is 5%.
  • Step 4: To find the percentage of people who like either sports or music, use the formula: (Percentage who like sports) + (Percentage who like music) - (Percentage who like both).
  • Step 5: Plug in the numbers: 25% + 15% - 5%.
  • Step 6: Calculate the result: 25 + 15 = 40, then 40 - 5 = 35.
  • Step 7: The final answer is that 35% of the group like either sports or music.
  • Inclusion-Exclusion Principle – A method used to calculate the size of the union of two sets by adding the sizes of the individual sets and subtracting the size of their intersection.
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