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In a survey, 45 people like apples, 30 like oranges, and 15 like both. How many

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Question: In a survey, 45 people like apples, 30 like oranges, and 15 like both. How many people like only oranges?

Options:

  1. 15
  2. 30
  3. 45
  4. 0

Correct Answer: 30

Solution:

The number of people who like only oranges is 30 - 15 = 15.

In a survey, 45 people like apples, 30 like oranges, and 15 like both. How many

Practice Questions

Q1
In a survey, 45 people like apples, 30 like oranges, and 15 like both. How many people like only oranges?
  1. 15
  2. 30
  3. 45
  4. 0

Questions & Step-by-Step Solutions

In a survey, 45 people like apples, 30 like oranges, and 15 like both. How many people like only oranges?
  • Step 1: Identify the total number of people who like oranges, which is 30.
  • Step 2: Identify the number of people who like both apples and oranges, which is 15.
  • Step 3: To find the number of people who like only oranges, subtract the number of people who like both from the total number of people who like oranges.
  • Step 4: Perform the calculation: 30 (people who like oranges) - 15 (people who like both) = 15.
  • Step 5: Conclude that 15 people like only oranges.
  • Set Theory – Understanding the relationships between different groups, specifically how to calculate the number of individuals in overlapping sets.
  • Venn Diagrams – Using visual representations to solve problems involving overlapping groups.
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