Question: In a set of 200 people, 120 like reading, 80 like writing, and 50 like both. How many people like only writing?
Options:
30
50
80
20
Correct Answer: 30
Solution:
The number of people who like only writing is |Writing| - |Both| = 80 - 50 = 30.
In a set of 200 people, 120 like reading, 80 like writing, and 50 like both. How
Practice Questions
Q1
In a set of 200 people, 120 like reading, 80 like writing, and 50 like both. How many people like only writing?
30
50
80
20
Questions & Step-by-Step Solutions
In a set of 200 people, 120 like reading, 80 like writing, and 50 like both. How many people like only writing?
Step 1: Identify the total number of people who like writing, which is 80.
Step 2: Identify the number of people who like both reading and writing, which is 50.
Step 3: To find the number of people who like only writing, subtract the number of people who like both from the total number of people who like writing: 80 - 50.
Step 4: Calculate the result: 80 - 50 = 30.
Step 5: Therefore, the number of people who like only writing is 30.
Set Theory – Understanding the relationships between different groups and how to calculate the number of elements in each subset.
Venn Diagrams – Using Venn diagrams to visualize the overlap between different categories (reading and writing in this case).
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