In a class of 40 students, 25 study English, 15 study Mathematics, and 10 study

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Question: In a class of 40 students, 25 study English, 15 study Mathematics, and 10 study both. How many students study only English?

Options:

Correct Answer: 15

Solution:

Students who study only English = Total English - Both = 25 - 10 = 15.

In a class of 40 students, 25 study English, 15 study Mathematics, and 10 study both. How many students study only English?

In a class of 40 students, 25 study English, 15 study Mathematics, and 10 study both. How many students study only English?

Step 1: Identify the total number of students studying English, 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 English, subtract the number of students studying both from the total number of students studying English.
Step 4: Perform the calculation: 25 (total English) - 10 (both) = 15.
Step 5: The result is that 15 students study only English.

Set Theory – Understanding the relationships between different groups of students studying different subjects.
Venn Diagrams – Using Venn diagrams to visualize the overlap between students studying English and Mathematics.