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.
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.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcc2c011-fa80-4b06-88de-88eaeb33a88b%2F5de51cbf-6aa9-41a4-8175-45800844b3a8%2Fmhymuxc_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcc2c011-fa80-4b06-88de-88eaeb33a88b%2F5de51cbf-6aa9-41a4-8175-45800844b3a8%2F9octjp5_processed.png&w=3840&q=75)
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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