Question: In a group of 200 people, 120 like football, 80 like basketball, and 50 like both. How many people like only football?
Options:
70
50
80
120
Correct Answer: 70
Solution:
The number of people who like only football is 120 - 50 = 70.
In a group of 200 people, 120 like football, 80 like basketball, and 50 like bot
Practice Questions
Q1
In a group of 200 people, 120 like football, 80 like basketball, and 50 like both. How many people like only football?
70
50
80
120
Questions & Step-by-Step Solutions
In a group of 200 people, 120 like football, 80 like basketball, and 50 like both. How many people like only football?
Step 1: Identify the total number of people who like football, which is 120.
Step 2: Identify the number of people who like both football and basketball, which is 50.
Step 3: To find the number of people who like only football, subtract the number of people who like both from the total number of people who like football.
Step 4: Perform the calculation: 120 (people who like football) - 50 (people who like both) = 70.
Step 5: The result is that 70 people like only football.
Set Theory – Understanding the relationships between different groups and how to calculate the number of elements in each subset.
Venn Diagrams – Using Venn diagrams to visualize the overlap between groups (football and basketball fans) to solve problems.
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