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Comprehension: Consider the following ...

Comprehension:
Consider the following information and answer the questions based on it.
In a building, 30 people drink only coffee, 40 drink only tea, 25 drink both tea and coffee, 20 drink both tea and milk and 15 drink all the three -tea, coffee and milk.
What is the difference between the number of people who drink tea and those who drink coffee?

A

A) 70

B

B) 10

C

C) 30

D

D) 40

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to calculate the total number of people who drink tea and coffee based on the provided information, and then find the difference between these two totals. ### Step-by-Step Solution: 1. **Identify the given data:** - People who drink only coffee = 30 - People who drink only tea = 40 - People who drink both tea and coffee = 25 - People who drink both tea and milk = 20 - People who drink all three beverages (tea, coffee, and milk) = 15 2. **Calculate the total number of people who drink tea:** - The total number of tea drinkers includes: - Those who drink only tea: 40 - Those who drink both tea and coffee: 25 (including those who drink all three) - Those who drink both tea and milk: 20 (including those who drink all three) - Those who drink all three beverages: 15 To avoid double counting, we can break it down: - Total tea drinkers = (Only tea) + (Tea and coffee, excluding all three) + (Tea and milk, excluding all three) + (All three) - Total tea drinkers = 40 + (25 - 15) + (20 - 15) + 15 - Total tea drinkers = 40 + 10 + 5 + 15 = 70 3. **Calculate the total number of people who drink coffee:** - The total number of coffee drinkers includes: - Those who drink only coffee: 30 - Those who drink both tea and coffee: 25 (including those who drink all three) - Those who drink all three beverages: 15 Again, to avoid double counting: - Total coffee drinkers = (Only coffee) + (Tea and coffee, excluding all three) + (All three) - Total coffee drinkers = 30 + (25 - 15) + 15 - Total coffee drinkers = 30 + 10 + 15 = 55 4. **Find the difference between the number of people who drink tea and those who drink coffee:** - Difference = Total tea drinkers - Total coffee drinkers - Difference = 70 - 55 = 15 ### Final Answer: The difference between the number of people who drink tea and those who drink coffee is **15**.
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