Question: In a group of 200 people, 120 like basketball, 80 like football, and 50 like both. How many people like only basketball?
Options:
70
50
80
120
Correct Answer: 70
Solution:
The number of people who like only basketball is: 120 - 50 = 70.
In a group of 200 people, 120 like basketball, 80 like football, and 50 like bot
Practice Questions
Q1
In a group of 200 people, 120 like basketball, 80 like football, and 50 like both. How many people like only basketball?
70
50
80
120
Questions & Step-by-Step Solutions
In a group of 200 people, 120 like basketball, 80 like football, and 50 like both. How many people like only basketball?
Step 1: Identify the total number of people who like basketball, which is 120.
Step 2: Identify the number of people who like both basketball and football, which is 50.
Step 3: To find the number of people who like only basketball, subtract the number of people who like both from the total number of basketball fans: 120 - 50.
Step 4: Calculate the result: 120 - 50 = 70.
Step 5: Conclude that 70 people like only basketball.
Set Theory – Understanding the relationships between different groups and how to calculate the number of elements in overlapping sets.
Venn Diagrams – Visualizing the problem using Venn diagrams can help clarify the relationships between those who like basketball, football, and both.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
