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200 people took a survey. 40 people voted for both A and B,

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Director
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200 people took a survey. 40 people voted for both A and B, [#permalink] New post 22 Apr 2006, 15:49
200 people took a survey. 40 people voted for both A and B, 75 voted for neither A nor B. The number of people that voted for A but not B is twice the
number of people that voted B but not A. A=?
Manager
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Re: venn diagram [#permalink] New post 22 Apr 2006, 16:34
joemama142000 wrote:
200 people took a survey. 40 people voted for both A and B, 75 voted for neither A nor B. The number of people that voted for A but not B is twice the
number of people that voted B but not A. A=?


S = 200
S \ (A U B) = 75

so A U B = 125
and ( A n B) = 40

A U B = A \ B + B \ A + (A n B)
125 = 170/3 + 85/3 + 40

so A would be 170/3 + 40

it doesn't look right, does it?
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Re: venn diagram [#permalink] New post 22 Apr 2006, 16:47
joemama142000 wrote:
200 people took a survey. 40 people voted for both A and B, 75 voted for neither A nor B. The number of people that voted for A but not B is twice the number of people that voted B but not A. A=?

i also got
a = 170/3
b = 85/3
SVP
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 [#permalink] New post 22 Apr 2006, 20:07
Some problem with the stem? Me too getting fractions...
Senior Manager
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 [#permalink] New post 23 Apr 2006, 01:07
x + 2x + 40 = 125

x = 55
2x = 110
VP
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 [#permalink] New post 23 Apr 2006, 01:29
I am getting a fraction 85/3.. doesnt make sense!
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 [#permalink] New post 23 Apr 2006, 07:14
2x+x+40 = 200 - 75

or 3x = 125-40 = 85

Hence A = 2*85/3 +40 = 170/3 +40

Number of people in fraction !!!!
  [#permalink] 23 Apr 2006, 07:14
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200 people took a survey. 40 people voted for both A and B,

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