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# Four cups of milk are to be poured into a 2-cup bottle and a

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Manager
Joined: 05 Sep 2007
Posts: 144
Location: New York
Four cups of milk are to be poured into a 2-cup bottle and a [#permalink]

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08 May 2008, 11:30
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Four cups of milk are to be poured into a 2-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 4-cup bottle?
(A) 2/3
(B) 7/3
(C) 5/2
(D) 8/3
(E) 3

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Current Student
Joined: 28 Dec 2004
Posts: 3310
Location: New York City
Schools: Wharton'11 HBS'12

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08 May 2008, 11:39
i am sure there is a fancier way to do this...

but i was a bit overwhlemed so just picked numbers..

if 2/3 cups are used in 4-cup bottle then 1/3 will be used in the 2 cup bottle..

now..fraction= {math}frac{2/3*4} = frac{1/3*2} {/math}

A it is..
Manager
Joined: 16 Sep 2007
Posts: 211

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08 May 2008, 11:44
(4-x)/2=x/4
-> x=8/3

D
Senior Manager
Joined: 19 Apr 2008
Posts: 309

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08 May 2008, 11:44
fresinha12 wrote:
i am sure there is a fancier way to do this...

but i was a bit overwhlemed so just picked numbers..

if 2/3 cups are used in 4-cup bottle then 1/3 will be used in the 2 cup bottle..

now..fraction= {math}frac{2/3*4} = frac{1/3*2} {/math}

A it is..

I get D 8/3 !!

x/2= (4-x)/4 , solving for this 4-x= 8/3 .
Manager
Joined: 27 Jun 2007
Posts: 198

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08 May 2008, 11:55
el1981 wrote:
Four cups of milk are to be poured into a 2-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 4-cup bottle?
(A) 2/3
(B) 7/3
(C) 5/2
(D) 8/3
(E) 3

Let x be the # of cups going into the 4 cup bottle.

so.... x/4 = ((4-x)/2)

16 - 4x = 2x

16 = 6x

x = 16/6... reduce out 2 = 8/3

So D.
Current Student
Joined: 28 Dec 2004
Posts: 3310
Location: New York City
Schools: Wharton'11 HBS'12

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08 May 2008, 12:23
i have no clue why i couldnt do this..grrrr
Current Student
Joined: 28 Dec 2004
Posts: 3310
Location: New York City
Schools: Wharton'11 HBS'12

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08 May 2008, 12:29
el1981 wrote:
Four cups of milk are to be poured into a 2-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 4-cup bottle?
(A) 2/3
(B) 7/3
(C) 5/2
(D) 8/3
(E) 3
..

grrr..gotta do it again..

let x be the number of cups in 4-cup bottle

x/4 =(4-x)/2
8-2x=x
x=8/3...

I feel so stupid for missing this ..grrrr
Manager
Joined: 05 Sep 2007
Posts: 144
Location: New York

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08 May 2008, 13:09
fresinha12 wrote:
el1981 wrote:
Four cups of milk are to be poured into a 2-cup bottle and a 4-cup bottle. If each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 4-cup bottle?
(A) 2/3
(B) 7/3
(C) 5/2
(D) 8/3
(E) 3
..

grrr..gotta do it again..

let x be the number of cups in 4-cup bottle

x/4 =(4-x)/2
8-2x=x
x=8/3...

I feel so stupid for missing this ..grrrr

don't! I made the same mistake. it happens . thanks!
Senior Manager
Joined: 20 Feb 2008
Posts: 292
Location: Bangalore, India
Schools: R1:Cornell, Yale, NYU. R2: Haas, MIT, Ross

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08 May 2008, 16:51
2
KUDOS
Hi , this is how I did it.

We want the ratio of number of cups in bottle with capacity 2 to equal number of cups in bottle with capacity 4.
x= number of cups in bottle with capacity 2
y=number of cups in bottle with capacity4

x/2=y/4; x=1/2y

and we know that x+y=4
1/2y+y=4
3/2y=4
y=8/3
Non-Human User
Joined: 09 Sep 2013
Posts: 6541
Re: Four cups of milk are to be poured into a 2-cup bottle and a [#permalink]

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04 Aug 2017, 23:49
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: Four cups of milk are to be poured into a 2-cup bottle and a   [#permalink] 04 Aug 2017, 23:49
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