If 15 students like both History and Geography, 25 like History, and 20 like Geo

If 15 students like both History and Geography, 25 like History, and 20 like Geography, how many students like only Geography?

If 15 students like both History and Geography, 25 like History, and 20 like Geography, how many students like only Geography?

Step 1: Identify the number of students who like Geography. This is given as 20 students.
Step 2: Identify the number of students who like both History and Geography. This is given as 15 students.
Step 3: To find the number of students who like only Geography, subtract the number of students who like both subjects from the total number of students who like Geography.
Step 4: Perform the subtraction: 20 (students who like Geography) - 15 (students who like both) = 5.
Step 5: The result is that 5 students like only Geography.

Set Theory – Understanding the relationships between different groups of students who like various subjects.
Venn Diagrams – Using Venn diagrams to visualize the overlap between students who like History and Geography.
Subtraction in Set Operations – Calculating the number of students in one category by subtracting those who belong to multiple categories.