Solving Venn Diagram Problems: Spinach, Broccoli, and Carrot Preferences"

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Homework Help Overview

The discussion revolves around a Venn diagram problem involving preferences for spinach, broccoli, and carrots based on a survey of 500 people. Participants are tasked with determining how many people prefer only broccoli and how many prefer none of the vegetables.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss drawing a Venn diagram to visualize the problem and place known values in the appropriate sections. There are attempts to calculate the number of people who prefer only broccoli and those who do not prefer any of the vegetables. Questions arise regarding the interpretation of the survey data and the meaning of the questions posed.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Some participants have offered guidance on using a Venn diagram, while others are clarifying the questions and attempting to derive the necessary calculations. There is no explicit consensus yet on the answers to the questions posed.

Contextual Notes

Participants are working with specific numerical data provided in the problem statement, and there are indications of confusion regarding the phrasing of the questions. The total number of survey participants is fixed at 500, which is a key constraint in the calculations being discussed.

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Homework Statement


Based of a survey from 500 people come up with this:
130 people prefer spinach
100 people prefer broccoli
50 people prefer carrot
10 people prefer spinach and broccoli
12 people prefer spinach and carrot
5 people prefer broccoli and carrot
15 people prefer all 3 of them

A. How many people prefer broccoli only?
B. How many people prefer none from 3 of it?

2. The attempt at a solution
A. I tried 100 - 10 - 5 - 15 = 70, although I'm not sure
B. Using above formula I found out 500 - 223 = 277

Need help please
 
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Try drawing a venn diagram with three intersecting circles one for each type of vegetable and place the numbers that you know in each area.
 
Here
 

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Very nice diagram.

But for question B, I'm not sure what "How many people prefer none from 3 of it?" means.

There are 500 people total. How many are in none of the circles? They don't prefer any of them.
 
Last edited:
stedwards said:
There are 500 people total. How many are in none of the circles? They don't like any of them.
it is for the question b
 
ok. how many people prefer at least one of these vegtables?
 
Couldnt find it...
130 people prefer spinach
100 people prefer broccoli
50 people prefer carrot
10 people prefer spinach and broccoli
12 people prefer spinach and carrot
5 people prefer broccoli and carrot
15 people prefer all 3 of them

Is the only thing written on the question
 
Add up the people on your Venn diagram. How many do you get?
 
Started at 500 people only 322 vote i guess?
 
  • #10
The remaining 178 people don't prefer any. You can draw a box around your Venn diagram and put the number 178 in the open space. This is the number of people that don't fit any other category.
 
  • #11
How about question a?
 

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