In a class of 60 students, 35 like painting, 25 like music, and 15 like both. Ho

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Question: In a class of 60 students, 35 like painting, 25 like music, and 15 like both. How many students like only painting?

Options:

Correct Answer: 20

Solution:

Students who like only painting = Total painting lovers - Both painting and music lovers = 35 - 15 = 20.

In a class of 60 students, 35 like painting, 25 like music, and 15 like both. How many students like only painting?

In a class of 60 students, 35 like painting, 25 like music, and 15 like both. How many students like only painting?

Step 1: Identify the total number of students who like painting. This number is 35.
Step 2: Identify the number of students who like both painting and music. This number is 15.
Step 3: To find the number of students who like only painting, subtract the number of students who like both from the total number of painting lovers.
Step 4: Perform the subtraction: 35 (total painting lovers) - 15 (both painting and music lovers) = 20.
Step 5: The result, 20, is the number of students who like only painting.

Set Theory – Understanding the relationships between different groups of students based on their preferences.
Venn Diagrams – Using Venn diagrams to visualize the overlap between students who like painting and music.
Subtraction in Sets – Calculating the number of students in one category by subtracting those who belong to multiple categories.