Question: In a group of 200 people, 120 like basketball, 80 like football, and 50 like both. How many 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 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 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: Therefore, the number of people who like only basketball is 70.
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 (basketball and football fans) and to find exclusive counts.
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