If 60% of students like reading, 40% like writing, and 10% like both, what perce

Practice Questions

Q1
If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like only writing?
  1. 30%
  2. 40%
  3. 10%
  4. 50%

Questions & Step-by-Step Solutions

If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like only writing?
  • Step 1: Understand that 60% of students like reading.
  • Step 2: Understand that 40% of students like writing.
  • Step 3: Understand that 10% of students like both reading and writing.
  • Step 4: To find the percentage of students who like only writing, subtract the percentage of students who like both from the percentage who like writing.
  • Step 5: Calculate: 40% (like writing) - 10% (like both) = 30%.
  • Step 6: Therefore, 30% of students like only writing.
  • Set Theory – Understanding the relationships between different groups of students who like reading, writing, or both.
  • Percentage Calculation – Calculating percentages based on given data and understanding how to manipulate them to find specific subsets.
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