A survey shows that 40% of people like apples, 30% like bananas, and 10% like bo

Practice Questions

Q1
A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?
  1. 60%
  2. 70%
  3. 50%
  4. 80%

Questions & Step-by-Step Solutions

A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?
  • Step 1: Identify the percentage of people who like apples, which is 40%.
  • Step 2: Identify the percentage of people who like bananas, which is 30%.
  • Step 3: Identify the percentage of people who like both apples and bananas, which is 10%.
  • Step 4: To find the percentage of people who like either apples or bananas, add the percentage of people who like apples (40%) to the percentage of people who like bananas (30%).
  • Step 5: Now, subtract the percentage of people who like both apples and bananas (10%) from the total you got in Step 4.
  • Step 6: The calculation is 40% + 30% - 10% = 60%.
  • Step 7: Therefore, 60% of people like either apples or bananas.
  • 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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