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

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Director
Joined: 17 Oct 2005
Posts: 940
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200 people took a survey. 40 people voted for both A and B, [#permalink]  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
Joined: 20 Mar 2005
Posts: 201
Location: Colombia, South America
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Kudos [?]: 6 [0], given: 0

Re: venn diagram [#permalink]  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?
VP
Joined: 29 Dec 2005
Posts: 1349
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Re: venn diagram [#permalink]  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
Joined: 14 Dec 2004
Posts: 1707
Followers: 1

Kudos [?]: 50 [0], given: 0

Some problem with the stem? Me too getting fractions...
Senior Manager
Joined: 09 Mar 2006
Posts: 445
Followers: 1

Kudos [?]: 6 [0], given: 0

x + 2x + 40 = 125

x = 55
2x = 110
VP
Joined: 29 Apr 2003
Posts: 1405
Followers: 2

Kudos [?]: 18 [0], given: 0

I am getting a fraction 85/3.. doesnt make sense!
Intern
Joined: 19 Feb 2006
Posts: 46
Followers: 1

Kudos [?]: 1 [0], given: 0

2x+x+40 = 200 - 75

or 3x = 125-40 = 85

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

Number of people in fraction !!!!
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