In a class of 80 students, 45 like painting, 35 like drawing, and 20 like both.

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Question: In a class of 80 students, 45 like painting, 35 like drawing, and 20 like both. How many students like only drawing?

Options:

Correct Answer: 25

Solution:

The number of students who like only drawing is 35 - 20 = 15.

In a class of 80 students, 45 like painting, 35 like drawing, and 20 like both. How many students like only drawing?

In a class of 80 students, 45 like painting, 35 like drawing, and 20 like both. How many students like only drawing?

Step 1: Identify the total number of students who like drawing, which is 35.
Step 2: Identify the number of students who like both painting and drawing, which is 20.
Step 3: To find the number of students who like only drawing, subtract the number of students who like both from the total number of students who like drawing.
Step 4: Perform the calculation: 35 (students who like drawing) - 20 (students who like both) = 15.
Step 5: Therefore, the number of students who like only drawing is 15.

Set Theory – Understanding the relationships between different groups (students who like painting, drawing, and both).
Venn Diagrams – Using Venn diagrams to visualize the overlap between students who like painting and drawing.
Basic Arithmetic – Performing simple subtraction to find the number of students who like only one activity.