Question: In a group of 200 people, 120 like action movies, 80 like drama movies, and 50 like both. How many like only action movies?
Options:
70
50
80
120
Correct Answer: 70
Solution:
The number of people who like only action movies is 120 - 50 = 70.
In a group of 200 people, 120 like action movies, 80 like drama movies, and 50 l
Practice Questions
Q1
In a group of 200 people, 120 like action movies, 80 like drama movies, and 50 like both. How many like only action movies?
70
50
80
120
Questions & Step-by-Step Solutions
In a group of 200 people, 120 like action movies, 80 like drama movies, and 50 like both. How many like only action movies?
Step 1: Identify the total number of people who like action movies, which is 120.
Step 2: Identify the number of people who like both action and drama movies, which is 50.
Step 3: To find the number of people who like only action movies, subtract the number of people who like both from the total number of action movie fans: 120 - 50.
Step 4: Calculate the result: 120 - 50 = 70.
Step 5: Therefore, the number of people who like only action movies is 70.
Set Theory – Understanding the relationships between different groups, specifically using the principle of inclusion-exclusion.
Venn Diagrams – Visualizing the overlap between different categories to solve problems related to groups.
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