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Worksheet with a Venn diagram showing children's favorite fruits (bananas and mangos) and questions to answer based on the diagram.

A worksheet titled "Answering Questions Based on a Venn Diagram" showing a Venn diagram with two overlapping circles labeled "bananas" and "mangos," listing names of children in each section. Below the diagram are five questions about the data.

A worksheet titled "Answering Questions Based on a Venn Diagram" showing a Venn diagram with two overlapping circles labeled "bananas" and "mangos," listing names of children in each section. Below the diagram are five questions about the data.

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Show Answer Key & Explanations Step-by-step solution for: Interpreting Venn Diagram worksheet
Let’s go step by step through the Venn diagram to answer each question.

The left circle is for kids who like bananas.
The right circle is for kids who like mangos.
The overlapping middle part is for kids who like both bananas and mangos.

From the diagram:

- Left circle only (bananas, not mangos): Diana, Nico, Susan → 3 people
- Middle (both): Tiara → 1 person
- Right circle only (mangos, not bananas): Ben, Paul, Francesca → 3 people

So total who like bananas = left circle + middle = 3 + 1 = 4

Total who like mangos = right circle + middle = 3 + 1 = 4

Now let’s answer each question:

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1. How many people like bananas?
→ That includes everyone in the banana circle: Diana, Nico, Susan, and Tiara → 4

2. Who likes bananas and mangos?
→ Only the person in the overlap: Tiara

3. Is Ben’s favorite fruit a banana?
→ Ben is in the mango-only circle → he does NOT like bananas → No

4. Who likes mangos but not bananas?
→ People in the right circle only: Ben, Paul, Francesca → Ben, Paul, Francesca

5. Who likes bananas but not mango?
→ People in the left circle only: Diana, Nico, Susan → Diana, Nico, Susan

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Final Answer:
1. 4
2. Tiara
3. No
4. Ben, Paul, Francesca
5. Diana, Nico, Susan
Parent Tip: Review the logic above to help your child master the concept of venn diagram worksheet math.
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