A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were300 responses with the following results:
90 were interested in an interview show and a documentary, but not reruns.
12 were interested in an interview show and reruns but not a documentary
42 were interested in reruns but not an interview show.
72 were interested in an interview show but not a documentary.
30 were interested in a documentary and reruns.
18 were interested in an interview show and reruns.
24 were interested in none of the three.
How many are interested in exactly one kind of show?

A) 124 B) 144 C) 134 D) 154

Question

A local television station sends  out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were300 responses with the following results:
90 were interested in an interview show and a documentary, but not reruns. 
12 were interested in an interview show and reruns but not a documentary 
42 were interested in reruns but not an interview show. 
72 were interested in an interview show but not a documentary.
 30 were interested in a documentary and reruns. 
18 were interested in an interview show and reruns. 
24 were interested in none of the three.
How many are interested in exactly one kind of show?

A) 124 B) 144 C) 134 D) 154

victoriasushchik · Answer

90 were interested in an interview show and a documentary, but not reruns. 
        (i n d) - c = 90

 12 were interested in an interview show and reruns but not a documentary. 
         (i n r) - d = 12

 42 were interested in reruns but not an interview show. 
         i - r = 42

 72 were interested in an interview show but not a documentary. 
         i - d = 72

 30 were interested in a documentary and reruns. 
         r n d = 30

 18 were interested in an interview show and reruns. 
          r n i = 18

 24 were interested in none of the three. 
        u - i - r - d = 24


find:  i - r - d
find:  r - i - d
find:  d - i - r

anonymous · Answer

what does those letter stands for?

anonymous · Answer

can you explain to me using a venn diagram?

anonymous · Answer

@phi

anonymous · Answer

thank you, nobody has been able to help me with this

phi · Answer

that's only because it looks painful.
Did you draw the Venn diagram?

anonymous · Answer

I tried to but it doesn't make sense to me

anonymous · Answer

I can try drawing it again for you

anonymous · Answer

we only need 3 circles right?

anonymous · Answer

|dw:1450135772694:dw|

anonymous · Answer

|dw:1450135858613:dw|

anonymous · Answer

am I okay so far?

anonymous · Answer

@phi

anonymous · Answer

|dw:1450135982771:dw|

phi · Answer

ok, I thought it was 4 circles.  3 is much easier , but still a bit messy

anonymous · Answer

|dw:1450136013191:dw|

anonymous · Answer

ummm... I'm not sure what I did here

phi · Answer

Yes, it gets messy.  I would use colored pens and try to label every little section.

anonymous · Answer

can you work it out with me cause I'm confused

anonymous · Answer

ive been stuck on this problem for like 3 days straight

anonymous · Answer

|dw:1450136368003:dw|

anonymous · Answer

hello?