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In a certain town, two school board members, Goodwin and

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Senior Manager
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In a certain town, two school board members, Goodwin and [#permalink]

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New post 22 Aug 2004, 20:29
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In a certain town, two school board members, Goodwin and O'Neill, received a combined 80% of the votes in a recent election. How many votes did O'Neil receive?

1) In the election, Goodwin received 530 more votes than O'Neill and Bennet combined.

2) In the election, O'Neill received 75% of the sum of hte votes received by Goodwin & Bennet.
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New post 22 Aug 2004, 22:48
Stem: G+O = 80%, Others = 20%, O = ?
I gives G = (O+B) + 530. Insuff
II gives O= 75%(G+B). Insuff

Together, we can get
G-B = O+530
G+B = 4O/3
----------------
2G=7O/3 + 530
Doesn'e lead us anywhere, unless we know the total number of people.

E?
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New post 23 Aug 2004, 00:47
O = 0.75 (G+B) and G = O + B + 530

---> G = 0.75G + 0.75B + B + 530
---> 0.25 G = 1.75B + 530 (1)

O = 0.75 x (1.75B+530)/0.25 + 0.75B (2)

O + G = 80% <=> (1) + (2) = 80% ---> B = .... ---> O =....

So IMO, C is the ans.
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New post 23 Aug 2004, 02:09
hardworker_indian wrote:
Stem: G+O = 80%, Others = 20%, O = ?
I gives G = (O+B) + 530. Insuff
II gives O= 75%(G+B). Insuff

Together, we can get
G-B = O+530
G+B = 4O/3
----------------
2G=7O/3 + 530
Doesn'e lead us anywhere, unless we know the total number of people.

E?


I agree with this, I think it is E. We need the total number of votes. Also if we were told that there were only three candidates (G, O and B) and no abstentions: G+O+B=Total votes, then the answer would be C, but from the information given we need to suppose that there could be more candidates.
  [#permalink] 23 Aug 2004, 02:09
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In a certain town, two school board members, Goodwin and

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