In a survey, 60 like Coke, 45 like Fanta & 40 drink Dew, 13 drink Fanta and Dew, 25 drink Coke and Fanta, 20 drink Coke and Dew, 10 drink all and 5 drink none. How many like only one drink? Draw a Venn diagram for the
case.

The Venn diagram above visually represents the data for people who like Coke, Fanta, and Dew. Each region shows how many people like different combinations of the three drinks.

### Step 3: Total number of people who like only one drink
- People who like **only Coke**: 25
- People who like **only Fanta**: 17
- People who like **only Dew**: 17

Thus, the total number of people who like only one drink is:
\[
25 + 17 + 17 = 59
\]

Would you like more details or have any questions? Here are some related questions for further practice:

1. How many people like exactly two drinks?
2. What is the total number of people who like at least one drink?
3. If 5 people drink none of the beverages, how many people were surveyed in total?
4. How many people like either Coke or Dew but not Fanta?
5. Can you calculate how many people like at least two drinks?

**Tip:** Venn diagrams are a great tool for visualizing and solving set problems like these.

In a survey, 60 like Coke, 45 like Fanta & 40 drink Dew, 13 drink Fanta and Dew, 25 drink Coke and Fanta, 20 drink Coke and Dew, 10 drink all and 5 drink none. How many like only one drink? Draw a Venn diagram for the case.

Learn how to solve a survey problem using Venn diagrams and set theory. This problem involves calculating the number of people who like Coke, Fanta, and Dew, using logical reasoning and the inclusion-exclusion principle. Perfect for Grades 8-10 students.

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