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# Manhattan GMAT Weekly Challenge

Author Message
Manager
Joined: 16 Feb 2010
Posts: 218

Kudos [?]: 378 [0], given: 16

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14 Jul 2010, 02:32
00:00

Difficulty:

(N/A)

Question Stats:

40% (02:55) correct 60% (02:44) wrong based on 9 sessions

### HideShow timer Statistics

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

Kudos [?]: 378 [0], given: 16

Manager
Joined: 16 Feb 2010
Posts: 218

Kudos [?]: 378 [0], given: 16

Re: Manhattan GMAT Weekly Challenge [#permalink]

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14 Jul 2010, 02:33
my method:

after everything,

A ends up with

2k+ j/3 = 1/2 j

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

-> (D)

Kudos [?]: 378 [0], given: 16

Manager
Joined: 03 Jun 2010
Posts: 170

Kudos [?]: 72 [0], given: 40

Location: United States (MI)
Concentration: Marketing, General Management
Re: Manhattan GMAT Weekly Challenge [#permalink]

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14 Jul 2010, 05:29
The similar approach gives me 12K. (D)

Kudos [?]: 72 [0], given: 40

Manager
Joined: 12 Jun 2007
Posts: 124

Kudos [?]: 80 [0], given: 2

Re: Manhattan GMAT Weekly Challenge [#permalink]

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16 Jul 2010, 00:22
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)

Kudos [?]: 80 [0], given: 2

Intern
Joined: 05 Jun 2010
Posts: 4

Kudos [?]: 3 [0], given: 0

Re: Manhattan GMAT Weekly Challenge [#permalink]

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17 Jul 2010, 02:44
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)?

Kudos [?]: 3 [0], given: 0

VP
Joined: 15 Jul 2004
Posts: 1438

Kudos [?]: 226 [0], given: 13

Schools: Wharton (R2 - submitted); HBS (R2 - submitted); IIMA (admitted for 1 year PGPX)
Re: Manhattan GMAT Weekly Challenge [#permalink]

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17 Jul 2010, 09:15
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?

Kudos [?]: 226 [0], given: 13

CEO
Status: Nothing comes easy: neither do I want.
Joined: 12 Oct 2009
Posts: 2756

Kudos [?]: 1912 [0], given: 235

Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
Re: Manhattan GMAT Weekly Challenge [#permalink]

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17 Jul 2010, 11:44
It should be total and the answer should be 12k
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Kudos [?]: 1912 [0], given: 235

Manager
Joined: 12 Jun 2007
Posts: 124

Kudos [?]: 80 [0], given: 2

Re: Manhattan GMAT Weekly Challenge [#permalink]

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17 Jul 2010, 11:51
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

Kudos [?]: 80 [0], given: 2

Re: Manhattan GMAT Weekly Challenge   [#permalink] 17 Jul 2010, 11:51
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