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Venn Diagram problems

  1. May 3, 2015 #1
    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

    Need help please
     
  2. jcsd
  3. May 3, 2015 #2

    jedishrfu

    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.
     
  4. May 3, 2015 #3
    Here
     

    Attached Files:

  5. May 4, 2015 #4
    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
  6. May 4, 2015 #5
    it is for the question b
     
  7. May 4, 2015 #6
    ok. how many people prefer at least one of these vegtables?
     
  8. May 4, 2015 #7
    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
     
  9. May 4, 2015 #8
    Add up the people on your Venn diagram. How many do you get?
     
  10. May 4, 2015 #9
    Started at 500 people only 322 vote i guess?
     
  11. May 4, 2015 #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.
     
  12. May 4, 2015 #11
    How about question a?
     
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