anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Victoriasushchik
  • Victoriasushchik
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
  • anonymous
what does those letter stands for?
anonymous
  • anonymous
can you explain to me using a venn diagram?

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anonymous
  • anonymous
@phi
anonymous
  • anonymous
thank you, nobody has been able to help me with this
phi
  • phi
that's only because it looks painful. Did you draw the Venn diagram?
anonymous
  • anonymous
I tried to but it doesn't make sense to me
anonymous
  • anonymous
I can try drawing it again for you
anonymous
  • anonymous
we only need 3 circles right?
anonymous
  • anonymous
|dw:1450135772694:dw|
anonymous
  • anonymous
|dw:1450135858613:dw|
anonymous
  • anonymous
am I okay so far?
anonymous
  • anonymous
@phi
anonymous
  • anonymous
|dw:1450135982771:dw|
phi
  • phi
ok, I thought it was 4 circles. 3 is much easier , but still a bit messy
anonymous
  • anonymous
|dw:1450136013191:dw|
anonymous
  • anonymous
ummm... I'm not sure what I did here
phi
  • phi
Yes, it gets messy. I would use colored pens and try to label every little section.
anonymous
  • anonymous
can you work it out with me cause I'm confused
anonymous
  • anonymous
ive been stuck on this problem for like 3 days straight
anonymous
  • anonymous
|dw:1450136368003:dw|
anonymous
  • anonymous
hello?
phi
  • phi
This takes a bit of patience. Don't I get a few minutes?
anonymous
  • anonymous
oh yes, I apologize. ill keep trying to do it too
phi
  • phi
Here is what I'm getting |dw:1450137084299:dw|
anonymous
  • anonymous
wait how did you get those numbers?
phi
  • phi
This one is easy to fill in 90 were interested in an interview show and a documentary, but not reruns.
phi
  • phi
also this one 12 were interested in an interview show and reruns but not a documentary
anonymous
  • anonymous
yes I get those
phi
  • phi
Next (after reading and checking) I decided to use 18 were interested in an interview show and reruns. I and R has 18 total. 12 are in the I and R but not D. so 6 must go in the I , R and D bubble
phi
  • phi
in other words 6+12 = 18
anonymous
  • anonymous
but how about the 24?
phi
  • phi
next I used 30 were interested in a documentary and reruns. D and R has two "bubbles". one has a 6 in it. the two together add up to 30 so the other bubble (the D and R but not I) has a 24
phi
  • phi
Is this making any sense?
phi
  • phi
then 72 were interested in an interview show but not a documentary I but not D has two bubbles. one has 12, so the other must have 60 (because together we want 72)
anonymous
  • anonymous
it would be better if you would use the addition symbols, I could understand it better
phi
  • phi
Yes, this is difficult to follow. But if you study it , it will make sense.
anonymous
  • anonymous
okay, please continue :)
phi
  • phi
42 were interested in reruns but not an interview show. two bubbles. one has 24, so the remaining has 18
phi
  • phi
at this point everything is filled in except the "only D" bubble (which will have a 66) we find it by adding up all the bubbles + 24 not in any bubble i.e. use 24 were interested in none of the three. and know the total is 300 300- 24 - sum of bubbles = 66
phi
  • phi
now we can answer How many are interested in exactly one kind of show? 66+60+18= 144
anonymous
  • anonymous
thank you so much for the explanations
anonymous
  • anonymous
wait, but what about the 24?
anonymous
  • anonymous
I still don't understand that for documentay and reruns
anonymous
  • anonymous
oh nvm its 30-6
phi
  • phi
Yes, if you label two bubbles with their sum, it gets very confusing. I try to only put numbers in a single bubble.
anonymous
  • anonymous
yah I get you, thank you

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