Question: In a group of 300 people, 150 like rock music, 100 like pop music, and 50 like both. How many people like only rock music?
Options:
50
100
150
200
Correct Answer: 100
Solution:
The number of people who like only rock music is 150 - 50 = 100.
In a group of 300 people, 150 like rock music, 100 like pop music, and 50 like b
Practice Questions
Q1
In a group of 300 people, 150 like rock music, 100 like pop music, and 50 like both. How many people like only rock music?
50
100
150
200
Questions & Step-by-Step Solutions
In a group of 300 people, 150 like rock music, 100 like pop music, and 50 like both. How many people like only rock music?
Step 1: Identify the total number of people who like rock music, which is 150.
Step 2: Identify the number of people who like both rock and pop music, which is 50.
Step 3: To find the number of people who like only rock music, subtract the number of people who like both from the total number of rock music fans: 150 - 50.
Step 4: Calculate the result: 150 - 50 = 100.
Step 5: The final answer is that 100 people like only rock music.
Set Theory – Understanding how to calculate the number of elements in overlapping sets.
Venn Diagrams – Visualizing relationships between different groups to solve problems involving intersections.
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