Manhattan GMAT Weekly Challenge : GMAT Problem Solving (PS)
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# Manhattan GMAT Weekly Challenge

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Manager
Joined: 16 Feb 2010
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14 Jul 2010, 01:32
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Difficulty:

(N/A)

Question Stats:

40% (03:55) correct 60% (02:44) wrong based on 8 sessions

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A total of j dollars is given to Abby, Bill, and Carla and divided equally among them. Then Abby gives Bill k dollars, Bill gives Carla 2k dollars, and Carla gives Abby 3k dollars. Afterwards, Abby has exactly half of all the dollars given to the three people. In terms of k, how much money was given originally to Abby, Bill, and Carla?

(A) 4k
(B) 6k
(C) 8k
(D) 12k
(E) 16k

no OA yet; will update as soon as they publish one
Manager
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Re: Manhattan GMAT Weekly Challenge [#permalink]

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14 Jul 2010, 01:33
my method:

after everything,

A ends up with

2k+ j/3 = 1/2 j

2k =1/6 j
therefore j =12k

-> (D)
Manager
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Re: Manhattan GMAT Weekly Challenge [#permalink]

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14 Jul 2010, 04:29
The similar approach gives me 12K. (D)
Manager
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Re: Manhattan GMAT Weekly Challenge [#permalink]

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15 Jul 2010, 23:22
Best way is to go with the options:

Abby= 8k, Bill=8k, Carla=8k

(1)Abby gives bill k

A=7k, B=9k, C=8k

(2)Bill gives carla 2k

A=7k, B=7k, C=10k

(3)Carla gives Abby 3k

A=10k, B=7k, C=7k

Now A(10k) < 12k (24/2)

So this means this is wrong option lets go u the order and see

Abby= 6k, Bill=6k, Carla=6k

(1)Abby gives bill k

A=5k, B=7k, C=6k

(2)Bill gives carla 2k

A=5k, B=5k, C=8k

(3)Carla gives Abby 3k

A=8k, B=5k, C=5k

Now A(8k) < 9k (18/2)

We can straight away select (A) as correct answer but lets confirm that also

Abby= 4k, Bill=4k, Carla=4k

(1)Abby gives bill k

A=3k, B=5k, C=4k

(2)Bill gives carla 2k

A=3k, B=3k, C=6k

(3)Carla gives Abby 3k

A=6k, B=3k, C=3k

Now A(6k) = 6k (12/2)

I go with Answer choice (A)
Intern
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Re: Manhattan GMAT Weekly Challenge [#permalink]

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17 Jul 2010, 01:44
The alternative approach of back calculation used by smartmundu is correct but the process is lengthy and time consuming.
A confusion with the answer to the question which asks 'how much money was given originally to Abby, Bill, and Carla?'
Should this include the total amount (12k) or the amount given to them individually (i.e 4k)?
VP
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Re: Manhattan GMAT Weekly Challenge [#permalink]

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17 Jul 2010, 08:15
sujoybanik wrote:
The alternative approach of back calculation used by smartmundu is correct but the process is lengthy and time consuming.
A confusion with the answer to the question which asks 'how much money was given originally to Abby, Bill, and Carla?'
Should this include the total amount (12k) or the amount given to them individually (i.e 4k)?

absolutely...i had the same confusion... the wording seems ambiguous....is it talking about the money given individually or collectively?
CEO
Status: Nothing comes easy: neither do I want.
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Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
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Re: Manhattan GMAT Weekly Challenge [#permalink]

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17 Jul 2010, 10:44
It should be total and the answer should be 12k
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Manager
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Re: Manhattan GMAT Weekly Challenge [#permalink]

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17 Jul 2010, 10:51
sujoybanik wrote:
The alternative approach of back calculation used by smartmundu is correct but the process is lengthy and time consuming.
A confusion with the answer to the question which asks 'how much money was given originally to Abby, Bill, and Carla?'
Should this include the total amount (12k) or the amount given to them individually (i.e 4k)?

i solved this under 2 minutes..once u get used to back calculation then its like a cake walk
Re: Manhattan GMAT Weekly Challenge   [#permalink] 17 Jul 2010, 10:51
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