In a survey of 150 people, 90 like action movies, 60 like drama movies, and 30 l

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Question: In a survey of 150 people, 90 like action movies, 60 like drama movies, and 30 like both. How many people like only drama movies?

Options:

Correct Answer: 30

Solution:

The number of people who like only drama movies is |Drama| - |Both| = 60 - 30 = 30.

In a survey of 150 people, 90 like action movies, 60 like drama movies, and 30 like both. How many people like only drama movies?

In a survey of 150 people, 90 like action movies, 60 like drama movies, and 30 like both. How many people like only drama movies?

Step 1: Identify the total number of people who like drama movies. This is given as 60.
Step 2: Identify the number of people who like both action and drama movies. This is given as 30.
Step 3: To find the number of people who like only drama movies, subtract the number of people who like both from the total number of people who like drama. This is calculated as 60 (total drama) - 30 (both) = 30.
Step 4: Therefore, the number of people who like only drama movies is 30.

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