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In a survey, 50 people were asked about their favorite fruit. 30 like apples, 20

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Question: In a survey, 50 people were asked about their favorite fruit. 30 like apples, 20 like bananas, and 5 like both. How many like only bananas?

Options:

  1. 15
  2. 20
  3. 5
  4. 25

Correct Answer: 15

Solution: 

To find the number of people who like only bananas, we calculate: Only Bananas = Total Bananas - Both = 20 - 5 = 15.

In a survey, 50 people were asked about their favorite fruit. 30 like apples, 20

Practice Questions

Q1
In a survey, 50 people were asked about their favorite fruit. 30 like apples, 20 like bananas, and 5 like both. How many like only bananas?
  1. 15
  2. 20
  3. 5
  4. 25

Questions & Step-by-Step Solutions

In a survey, 50 people were asked about their favorite fruit. 30 like apples, 20 like bananas, and 5 like both. How many like only bananas?
  • Step 1: Identify the total number of people who like bananas. This is given as 20.
  • Step 2: Identify the number of people who like both apples and bananas. This is given as 5.
  • Step 3: To find the number of people who like only bananas, subtract the number of people who like both from the total number of banana lovers. This means we calculate: 20 (total bananas) - 5 (both) = 15.
  • Step 4: The result, 15, is the number of people who like only bananas.
  • Set Theory – Understanding how to calculate the number of elements in overlapping sets.
  • Venn Diagrams – Visualizing relationships between different groups to solve problems involving intersections.
  • Basic Arithmetic – Performing simple subtraction to find the number of unique elements.
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