A group of friends consists of 12 who play football, 8 who play basketball, and

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Question: A group of friends consists of 12 who play football, 8 who play basketball, and 5 who play both. How many play only football?

Options:

Correct Answer: 7

Solution:

To find the number of friends who play only football, we subtract those who play both from those who play football: 12 - 5 = 7.

A group of friends consists of 12 who play football, 8 who play basketball, and 5 who play both. How many play only football?

A group of friends consists of 12 who play football, 8 who play basketball, and 5 who play both. How many play only football?

Step 1: Identify the total number of friends who play football, which is 12.
Step 2: Identify the number of friends who play both football and basketball, which is 5.
Step 3: To find the number of friends who play only football, subtract the number of friends who play both from the total number of friends who play football.
Step 4: Perform the subtraction: 12 (football players) - 5 (both players) = 7.
Step 5: The result, 7, is the number of friends who play only football.

Set Theory – Understanding the relationships between different groups, specifically using the principle of inclusion-exclusion.
Basic Arithmetic – Performing simple subtraction to find the number of individuals in a specific category.