In a class of 50 students, 30 study English, 25 study Mathematics, and 10 study

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Question: In a class of 50 students, 30 study English, 25 study Mathematics, and 10 study both. How many study only Mathematics?

Options:

Correct Answer: 15

Solution:

Only Mathematics = Total Mathematics - Both = 25 - 10 = 15.

In a class of 50 students, 30 study English, 25 study Mathematics, and 10 study both. How many study only Mathematics?

In a class of 50 students, 30 study English, 25 study Mathematics, and 10 study both. How many study only Mathematics?

Step 1: Identify the total number of students studying Mathematics, which is 25.
Step 2: Identify the number of students studying both English and Mathematics, which is 10.
Step 3: To find the number of students studying only Mathematics, subtract the number of students studying both from the total number studying Mathematics.
Step 4: Perform the calculation: 25 (total Mathematics) - 10 (both) = 15.
Step 5: Conclude that 15 students study only Mathematics.

Set Theory – Understanding the relationships between different groups of students studying various subjects.
Venn Diagrams – Using Venn diagrams to visualize the overlap between students studying English, Mathematics, and both subjects.
Basic Arithmetic – Performing simple subtraction to find the number of students studying only one subject.