Question: In a survey of 150 people, 90 like action movies, 60 like drama movies, and 30 like both. How many people like only action movies?
Options:
60
30
90
150
Correct Answer: 60
Solution:
The number of people who like only action movies is 90 - 30 = 60.
In a survey of 150 people, 90 like action movies, 60 like drama movies, and 30 l
Practice Questions
Q1
In a survey of 150 people, 90 like action movies, 60 like drama movies, and 30 like both. How many people like only action movies?
60
30
90
150
Questions & Step-by-Step Solutions
In a survey of 150 people, 90 like action movies, 60 like drama movies, and 30 like both. How many people like only action movies?
Step 1: Identify the total number of people who like action movies, which is 90.
Step 2: Identify the number of people who like both action and drama movies, which is 30.
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 lovers: 90 - 30.
Step 4: Calculate the result: 90 - 30 = 60.
Step 5: Conclude that 60 people like only action movies.
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 preferences.
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