Question: In a survey, 100 people were asked about their favorite fruits. 60 like apples, 50 like oranges, and 20 like both. How many like only apples?
Options:
40
50
20
30
Correct Answer: 40
Solution:
The number of people who like only apples is 60 - 20 = 40.
In a survey, 100 people were asked about their favorite fruits. 60 like apples,
Practice Questions
Q1
In a survey, 100 people were asked about their favorite fruits. 60 like apples, 50 like oranges, and 20 like both. How many like only apples?
40
50
20
30
Questions & Step-by-Step Solutions
In a survey, 100 people were asked about their favorite fruits. 60 like apples, 50 like oranges, and 20 like both. How many like only apples?
Step 1: Identify the total number of people who like apples, which is 60.
Step 2: Identify the number of people who like both apples and oranges, which is 20.
Step 3: To find the number of people who like only apples, subtract the number of people who like both from the total number of people who like apples.
Step 4: Perform the calculation: 60 (people who like apples) - 20 (people who like both) = 40.
Step 5: The result is that 40 people like only apples.
Set Theory – Understanding the relationships between different groups, specifically using the principle of inclusion-exclusion.
Venn Diagrams – Visualizing the overlap between different categories to solve problems related to shared and exclusive preferences.
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