In a survey, 45 people like tea, 38 like coffee, and 20 like both. How many people like only tea?
Answer and explanation
Correct answer: 25
The 45 people who like tea include the 20 people who like both tea and coffee. To find those who like tea only, subtract the intersection from the tea group: 45 − 20 = 25. The number 18 represents coffee only, while 63 represents the total who like at least one beverage, not tea only. Therefore the answer is 25.
Frequently asked questions
What is the correct answer to this question?
25
Why is this the correct answer?
The 45 people who like tea include the 20 people who like both tea and coffee. To find those who like tea only, subtract the intersection from the tea group: 45 − 20 = 25. The number 18 represents coffee only, while 63 represents the total who like at least one beverage, not tea only. Therefore the answer is 25.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
