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

[johnsmith8]

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

 

[jedishrfu]

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.

 

[johnsmith8]

Here

 

[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.

 

[johnsmith8]

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

 

[stedwards]

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

 

[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

 

[stedwards]

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

 

[johnsmith8]

Started at 500 people only 322 vote i guess?

 

[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.

 

[johnsmith8]

How about question a?