# Homework Help: Venn Diagram problems

1. May 3, 2015

### johnsmith8

1. The problem statement, all variables and given/known data
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

2. May 3, 2015

### Staff: Mentor

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.

3. May 3, 2015

Here

File size:
31.5 KB
Views:
144
4. May 4, 2015

### stedwards

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: May 4, 2015
5. May 4, 2015

### johnsmith8

it is for the question b

6. May 4, 2015

### stedwards

ok. how many people prefer at least one of these vegtables?

7. May 4, 2015

### johnsmith8

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

8. May 4, 2015

### stedwards

Add up the people on your Venn diagram. How many do you get?

9. May 4, 2015

### johnsmith8

Started at 500 people only 322 vote i guess?

10. May 4, 2015

### stedwards

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. May 4, 2015