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Cookie Problem [#permalink] New post 20 Sep 2007, 11:22
I get way to confused with what the question is really asking for in word problems. And the choices are so close to each other , that I often land up chosing the wrong one! Is there a simple way to understand what the question is REALLY asking for ..

Eg

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

(a) 15/2

(b) 9/4

(c) 5/9

(d) 7/ 5

(e) 9/7

What is this question really asking me to calculate?
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Re: Cookie Problem [#permalink] New post 20 Sep 2007, 12:28
beatgmat wrote:
I get way to confused with what the question is really asking for in word problems. And the choices are so close to each other , that I often land up chosing the wrong one! Is there a simple way to understand what the question is REALLY asking for ..

Eg

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

(a) 15/2

(b) 9/4

(c) 5/9

(d) 7/ 5

(e) 9/7

What is this question really asking me to calculate?


If 1/4 of the cookies were placed in the blue tin , what fraction of the cookies that were placed in other tins were placed in the green tin

we know that blue tin is given so it is out, now OTHER left, so they are GREEN and RED, so we need to find:

GREEN/(GREEN+RED)

now the only way to solve it easily is picking numbers:
pick multiple of denominator always if it is about ratios.

so 12 will do, which is minimum.

step by step:

A) now we know that 2/3 of 12 cookies are placed in either BLUE or GREEN tins so 8 of cookes are placed in either of them.

B) then the rest 4 are placed in RED tin.

C) then 1/4 of cookes were placed in BLUE tin, so 3 cookies placed in BLUE, and that makes our A clear now we know that A says 8 cookies are in either of BLUE and GREEN, so BLUE has 3 and 5 are in GREEN

D) as we defined above OTHER tins are GREEN and RED right!
RED-4, GREEN-5 ----> gives us 5/9

The answer is C
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Re: Cookie Problem [#permalink] New post 20 Sep 2007, 12:45
beatgmat wrote:
I get way to confused with what the question is really asking for in word problems. And the choices are so close to each other , that I often land up chosing the wrong one! Is there a simple way to understand what the question is REALLY asking for ..

Eg

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

(a) 15/2

(b) 9/4

(c) 5/9

(d) 7/ 5

(e) 9/7

What is this question really asking me to calculate?


With questions like this I just have make sure I pay attention to what they are telling me.

The stem says 2/3 goes in blue and green and the rest goes in red. First fact, red contains 1 - 2/3 or 1/3.

Next fact is that there is 1/4 in blue.

So that leaves 1 - 1/3 - 1/4 in red or 12/12 - 4/12 - 3/12 = 5/12.

So there is 9/12 in red and green and 5/12 in just green so:

x * 9/12 = 5/12

x = 5/12 * 12/9 = 5/9
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 [#permalink] New post 20 Sep 2007, 12:47
1-2/3=1/3 are in Red

Green+Blue=2/3 where Blue has 1/4 so Green= 2/3-1/4= 5/12

which is not there in answer choices, so it's wrong . Can anybody tell Whats wrong with this way?

Even if we cross check it
B+G+R = 1
1/4+1/3+5/12 = 1
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 [#permalink] New post 20 Sep 2007, 12:50
somethingbetter wrote:
1-2/3=1/3 are in Red

Green+Blue=2/3 where Blue has 1/4 so Green= 2/3-1/4= 5/12

which is not there in answer choices, so it's wrong . Can anybody tell Whats wrong with this way?

Even if we cross check it
B+G+R = 1
1/4+1/3+5/12 = 1


look at my post: the stem ask for GREEN/GREEN+RED
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 [#permalink] New post 20 Sep 2007, 12:53
yupp...blink blink..
this is what happens when I try to speed up my snail-paced Quant...huh
  [#permalink] 20 Sep 2007, 12:53
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