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# A batch of cookies was divided among three tins: 2/3 of all

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A batch of cookies was divided among three tins: 2/3 of all [#permalink]

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17 Oct 2005, 16:28
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Question Stats:

51% (01:42) correct 49% (01:07) wrong based on 105 sessions

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A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?

A. 15/2
B. 9/4
C. 5/9
D. 7/5
E. 9/7

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-batch-of-cookies-was-divided-amomg-3-tins-2-3-of-all-the-86680.html
[Reveal] Spoiler: OA

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Director
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17 Oct 2005, 16:45
red = 1/3
blue + green = 2/3
blue = 1/4, so green = 5/12

we are asked -> green/(blue+red) = 5/7

but i don't see this in the ans. let me think...

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17 Oct 2005, 18:03

then 1/3 or 4 are put in red bin

1/4 of 12=3 cookies in blue tin

then green tin will have 5 cookies

now the question is asking of the remainin cookies that were not put in blue bin, what fraction was put in green tin

so 5/(5+4) or 5/9

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Director
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17 Oct 2005, 18:10
gsr wrote:
red = 1/3
blue + green = 2/3
blue = 1/4, so green = 5/12
we are asked -> green/(blue+red) = 5/7
but i don't see this in the ans. let me think...

Now I see, we are asked to find green/(green + red) = 5/9

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Director
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17 Oct 2005, 18:12
HIMALAYA wrote:
freshina, where did you find that?

"If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins " -> green+red!

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17 Oct 2005, 18:13
what fraction of the cookies that were placed in the other tins [red and green] were placed in the green tin

BTW this problem is not GMAT quality I think ! GMAT questions are very clear...i mean in quant they are not testing your RC skills...right?

HIMALAYA wrote:
TeHCM wrote:
what fraction of the cookies that were placed in the other tins were placed in the green tin?
fresinha12 wrote:
the question is asking of the remainin cookies that were not put in blue bin, what fraction was put in green tin

freshina, where did you find that?

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17 Oct 2005, 18:16
fresinha12...u seem to be fully charged up in the evening compared to how you were in the morning! cool!
what time of the day are you taking the test?

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VP
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17 Oct 2005, 18:36
OA is C, 5/9. This question was in Kaplan 800.

I'm still a little confused. When it says "What fraction of the cookies that were placed in the other tins...." why shouldn't the blue tin be counted towards the "other" tins?

(I hope the real GMAT does not have convoluted wording questions such as this one)

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Director
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17 Oct 2005, 18:40
Hope GMAT will not have such wordings!

Read one of my above posts, others = other than blue.

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17 Oct 2005, 18:42
gsr wrote:
Hope GMAT will not have such wordings!

Read one of my above posts, others = other than blue.

Ahh...Thanks! Careless reading. I think I need glasses......

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17 Oct 2005, 18:55
gsr wrote:
fresinha12...u seem to be fully charged up in the evening compared to how you were in the morning! cool!
what time of the day are you taking the test?

seems freshina12 is reday for joining 7xx club.

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18 Oct 2005, 05:00
morning....damnit...I should change to an evening time...

gsr wrote:
fresinha12...u seem to be fully charged up in the evening compared to how you were in the morning! cool!
what time of the day are you taking the test?

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18 Oct 2005, 07:40
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Blue tin or red tin: 2/3 (N)
Red tin: (1/3)N

Blue tin: (1/4)N

What the last statment meant, is it wants this fraction: (# of cookies in green tin)/(# of cookies in red and green tin)

# of cookies in green tin = 2N/3 - N/4 = 8N- 3N/12 = 5N/12
# of cookies in red and green tin = N/3 + 5N/12 = 9N/12

Fraction = 5N/12 * 12/9N = 5/9 (C)

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VP
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18 Oct 2005, 11:15
Thanks everyone!

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Director
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18 Oct 2005, 12:36
I hate to beat a dead horse - but I'll do it any way.

Draw a table for these questions and you'll be less confused - I'm a visual type of test taker - you probably haven't notice.
Attachments

cookies.JPG [ 15.17 KiB | Viewed 3568 times ]

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18 Oct 2005, 19:44
Titleist wrote:
I hate to beat a dead horse - but I'll do it any way.
Draw a table for these questions and you'll be less confused - I'm a visual type of test taker - you probably haven't notice.

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20 Oct 2005, 03:32
TeHCM wrote:
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?

if we say the cookies are in either the blue tin or the green tin, it means that they can only be in one of them, not both or not shared. So how come you can get 1/4 later in the blue tin ? i don't get this one

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20 Oct 2005, 08:06
2/3 are in either blue or green tin, and 1/4 are actually in blue tin, with the rest goes to the green tin. Say toal is 12, then 8 goes to blue or green. We later know that 3 actually goes to blue tin, so 8-3=5 got to go into the green tin.
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keep on seeking, and you will find;
keep on knocking, and it will be opened to you.

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20 Oct 2005, 08:22
Antmavel wrote:
TeHCM wrote:
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?

if we say the cookies are in either the blue tin or the green tin, it means that they can only be in one of them, not both or not shared. So how come you can get 1/4 later in the blue tin ? i don't get this one

The question said 2/3 of all the cookies were placed in either the blue tin or the green tin. Not ALL the cookies were placed in blue or green.

Also, it was stated in the first sentence that "A batch of cookies was divided among 3 tins...". Hope this helps!

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20 Oct 2005, 10:24

I think the question itself was worded too weird...

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20 Oct 2005, 10:24

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