A company surveyed 36 people at an Italian restaurant and asked if they ordered the following pizza toppings: pepperoni (P), sausage (S), or mushrooms • A total of 21 people ordered pepperoni on their pizza, but only 8 ordered just pepperoni. • Atotal of 22 people ordered sausage on their pizza, but only 7 ordered just sausage. • A total of 14 people ordered mushrooms on their pizzas, but only 3 ordered just mushrooms. • A total of 5 people ordered all three toppings on their pizza. • Only 1 person ordered a cheese pizza without any toppings. P 4 3 1 M © 2020 StrongMind. Created using GeoGebra. How many people ordered mushrooms and sausage? O 27 O 7 O 17 9. 2.

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A company surveyed 36 people at an Italian restaurant and asked if they ordered the following pizza toppings: pepperoni (\(P\)), sausage (\(S\)), or mushrooms (\(M\)).

- A total of 21 people ordered pepperoni on their pizza, but only 8 ordered just pepperoni.
- A total of 22 people ordered sausage on their pizza, but only 7 ordered just sausage.
- A total of 14 people ordered mushrooms on their pizzas, but only 3 ordered just mushrooms.
- A total of 5 people ordered all three toppings on their pizza.
- Only 1 person ordered a cheese pizza without any toppings.

**Venn Diagram Explanation:**

The Venn diagram shows three intersecting circles labeled \(P\), \(S\), and \(M\) representing pepperoni, sausage, and mushrooms, respectively:

- The section labeled "8" is exclusive to \(P\).
- The section labeled "7" is exclusive to \(S\).
- The section labeled "3" is exclusive to \(M\).
- The overlapping sections show combinations:
  - "6" represents those who ordered pepperoni and sausage.
  - "2" represents those who ordered pepperoni and mushrooms.
  - "4" represents those who ordered sausage and mushrooms.
  - "5" represents those who ordered all three toppings.

© 2020 StrongMind. Created using GeoGebra.

**Question:**

How many people ordered mushrooms and sausage?

- ○ 27
- ○ 7
- ○ 17
- ○ 9
Transcribed Image Text:A company surveyed 36 people at an Italian restaurant and asked if they ordered the following pizza toppings: pepperoni (\(P\)), sausage (\(S\)), or mushrooms (\(M\)). - A total of 21 people ordered pepperoni on their pizza, but only 8 ordered just pepperoni. - A total of 22 people ordered sausage on their pizza, but only 7 ordered just sausage. - A total of 14 people ordered mushrooms on their pizzas, but only 3 ordered just mushrooms. - A total of 5 people ordered all three toppings on their pizza. - Only 1 person ordered a cheese pizza without any toppings. **Venn Diagram Explanation:** The Venn diagram shows three intersecting circles labeled \(P\), \(S\), and \(M\) representing pepperoni, sausage, and mushrooms, respectively: - The section labeled "8" is exclusive to \(P\). - The section labeled "7" is exclusive to \(S\). - The section labeled "3" is exclusive to \(M\). - The overlapping sections show combinations: - "6" represents those who ordered pepperoni and sausage. - "2" represents those who ordered pepperoni and mushrooms. - "4" represents those who ordered sausage and mushrooms. - "5" represents those who ordered all three toppings. © 2020 StrongMind. Created using GeoGebra. **Question:** How many people ordered mushrooms and sausage? - ○ 27 - ○ 7 - ○ 17 - ○ 9
After participating in a track meet, athletes were given the option to drink a sports drink or water. The results showed that 85 athletes chose a sports drink, 62 athletes chose water, and 14 athletes chose not to drink anything. Of those that chose water or a sports drink, 27 athletes chose to drink both.

Use the Venn diagram to help answer the question.

The Venn diagram consists of two intersecting circles: one labeled "Sports Drink" and the other labeled "Water." The intersection represents athletes who chose both options.

Question: How many athletes did not choose water?

Options:
- 72
- 99
- 58
- 85

© 2020 StrongMind. Created using GeoGebra.
Transcribed Image Text:After participating in a track meet, athletes were given the option to drink a sports drink or water. The results showed that 85 athletes chose a sports drink, 62 athletes chose water, and 14 athletes chose not to drink anything. Of those that chose water or a sports drink, 27 athletes chose to drink both. Use the Venn diagram to help answer the question. The Venn diagram consists of two intersecting circles: one labeled "Sports Drink" and the other labeled "Water." The intersection represents athletes who chose both options. Question: How many athletes did not choose water? Options: - 72 - 99 - 58 - 85 © 2020 StrongMind. Created using GeoGebra.
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