In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both.

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Question: In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both. How many like only vanilla?

Options:

Correct Answer: 30

Solution:

To find the number of people who like only vanilla, we subtract those who like both from those who like vanilla: 50 - 20 = 30.

In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both. How many like only vanilla?

In a survey of 100 people, 60 like chocolate, 50 like vanilla, and 20 like both. How many like only vanilla?

Step 1: Identify the total number of people who like vanilla. This number is given as 50.
Step 2: Identify the number of people who like both chocolate and vanilla. This number is given as 20.
Step 3: To find the number of people who like only vanilla, subtract the number of people who like both from the total number of people who like vanilla. This means you calculate 50 (vanilla lovers) - 20 (both chocolate and vanilla lovers).
Step 4: Perform the subtraction: 50 - 20 = 30.
Step 5: The result, 30, is the number of people who like only vanilla.

Set Theory – Understanding the relationships between different groups, specifically using Venn diagrams to visualize overlaps.
Basic Arithmetic – Performing simple subtraction to find the number of individuals in a specific category.