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A caselet states that in a survey of 200 people, 40% preferred tea, 30% preferre

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Question: A caselet states that in a survey of 200 people, 40% preferred tea, 30% preferred coffee, and the rest preferred juice. How many people preferred juice?

Options:

  1. 60
  2. 70
  3. 80
  4. 90

Correct Answer: 70

Solution:

40% of 200 is 80 (tea), 30% of 200 is 60 (coffee), so 200 - 80 - 60 = 60 preferred juice.

A caselet states that in a survey of 200 people, 40% preferred tea, 30% preferre

Practice Questions

Q1
A caselet states that in a survey of 200 people, 40% preferred tea, 30% preferred coffee, and the rest preferred juice. How many people preferred juice?
  1. 60
  2. 70
  3. 80
  4. 90

Questions & Step-by-Step Solutions

A caselet states that in a survey of 200 people, 40% preferred tea, 30% preferred coffee, and the rest preferred juice. How many people preferred juice?
  • Step 1: Understand that the total number of people surveyed is 200.
  • Step 2: Calculate how many people preferred tea by finding 40% of 200. This is done by multiplying 200 by 0.40, which equals 80.
  • Step 3: Calculate how many people preferred coffee by finding 30% of 200. This is done by multiplying 200 by 0.30, which equals 60.
  • Step 4: Add the number of people who preferred tea and coffee together: 80 (tea) + 60 (coffee) = 140.
  • Step 5: Subtract the total number of people who preferred tea and coffee from the total number of people surveyed: 200 - 140 = 60.
  • Step 6: Conclude that 60 people preferred juice.
  • Percentage Calculation – Understanding how to calculate percentages of a total and how to interpret survey results.
  • Subtraction from Total – Using subtraction to find the remaining quantity after accounting for known preferences.
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