In a survey of 150 people, 90 like action movies, 70 like comedy movies, and 40

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Question: In a survey of 150 people, 90 like action movies, 70 like comedy movies, and 40 like both. How many people like only action movies?

Options:

Correct Answer: 50

Solution:

The number of people who like only action movies is |Action| - |Both| = 90 - 40 = 50.

In a survey of 150 people, 90 like action movies, 70 like comedy movies, and 40 like both. How many people like only action movies?

In a survey of 150 people, 90 like action movies, 70 like comedy movies, and 40 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 comedy movies, which is 40.
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.
Step 4: Perform the calculation: 90 (people who like action) - 40 (people who like both) = 50.
Step 5: Conclude that 50 people like only action movies.

Set Theory – Understanding how to calculate the number of elements in overlapping sets using the principle of inclusion-exclusion.
Venn Diagrams – Visualizing relationships between different groups to determine unique and shared members.