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In a survey of 120 people, 50 like tea, 40 like coffee, and 20 like both. How ma

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Question: In a survey of 120 people, 50 like tea, 40 like coffee, and 20 like both. How many people like only coffee?

Options:

  1. 20
  2. 30
  3. 40
  4. 50

Correct Answer: 30

Solution:

The number of people who like only coffee is 40 - 20 = 20.

In a survey of 120 people, 50 like tea, 40 like coffee, and 20 like both. How ma

Practice Questions

Q1
In a survey of 120 people, 50 like tea, 40 like coffee, and 20 like both. How many people like only coffee?
  1. 20
  2. 30
  3. 40
  4. 50

Questions & Step-by-Step Solutions

In a survey of 120 people, 50 like tea, 40 like coffee, and 20 like both. How many people like only coffee?
  • Step 1: Identify the total number of people who like coffee, which is 40.
  • Step 2: Identify the number of people who like both tea and coffee, which is 20.
  • Step 3: To find the number of people who like only coffee, subtract the number of people who like both from the total number of coffee lovers: 40 - 20.
  • Step 4: Calculate the result: 40 - 20 = 20.
  • Step 5: Conclude that 20 people like only coffee.
  • Set Theory – Understanding the relationships between different groups, specifically using Venn diagrams to visualize overlaps.
  • Basic Arithmetic – Performing simple subtraction to find the number of people in a specific category.
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