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Each piglet in a litter is fed exactly one-half pound of a

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Joined: 11 Sep 2013
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Concentration: Finance, Finance
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Re: Each piglet in a litter is fed exactly [#permalink] New post 09 May 2014, 00:57
PranavChamp wrote:
St 1 : InSuf
piglet A fed 1/4 of oats.
St 2 : InSuf
piglet B fed 1/6 of barley.

St 1+2 : Suff

There are total 10 parts of Oats & Barley
Piglet A fed 2 parts out of 10. These 2 parts weigh 0.5 pound.
So 10 parts weigh 2.5 pounds.
Each piglet fed 0.5 pound so we can say that 2.5/0.5 = 5 piglets



How have you come up with 2 parts?
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Re: Each piglet in a litter is fed exactly [#permalink] New post 12 May 2014, 20:19
Expert's post
Raihanuddin wrote:
PranavChamp wrote:
St 1 : InSuf
piglet A fed 1/4 of oats.
St 2 : InSuf
piglet B fed 1/6 of barley.

St 1+2 : Suff

There are total 10 parts of Oats & Barley
Piglet A fed 2 parts out of 10. These 2 parts weigh 0.5 pound.
So 10 parts weigh 2.5 pounds.
Each piglet fed 0.5 pound so we can say that 2.5/0.5 = 5 piglets



How have you come up with 2 parts?


You do not know that oats and barley were mixed in the ratio 4:6 i.e. you cannot say that there are 4 parts of oats and 6 parts of barley. They could be in any ratio and hence we cannot say that piglet A was fed 2 parts of the mix.
Look at the explanations given in previous posts.
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Manager
Manager
User avatar
Joined: 11 Sep 2013
Posts: 150
Concentration: Finance, Finance
Followers: 1

Kudos [?]: 35 [0], given: 145

Re: Each piglet in a litter is fed exactly [#permalink] New post 12 May 2014, 21:55
VeritasPrepKarishma wrote:
Raihanuddin wrote:
PranavChamp wrote:
St 1 : InSuf
piglet A fed 1/4 of oats.
St 2 : InSuf
piglet B fed 1/6 of barley.

St 1+2 : Suff

There are total 10 parts of Oats & Barley
Piglet A fed 2 parts out of 10. These 2 parts weigh 0.5 pound.
So 10 parts weigh 2.5 pounds.
Each piglet fed 0.5 pound so we can say that 2.5/0.5 = 5 piglets



How have you come up with 2 parts?


You do not know that oats and barley were mixed in the ratio 4:6 i.e. you cannot say that there are 4 parts of oats and 6 parts of barley. They could be in any ratio and hence we cannot say that piglet A was fed 2 parts of the mix.
Look at the explanations given in previous posts.



Thank you very much.
Can you please give two or three variation of this question so that I can practice and familiarize myself with this type of question?
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Re: Each piglet in a litter is fed exactly one-half pound of a [#permalink] New post 25 Jul 2014, 02:53
Does anyone have any concrete proof such as a screenshot showing that this is a GMATPrep question? I doubt that GMATPrep would be this difficult.
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Re: Each piglet in a litter is fed exactly one-half pound of a [#permalink] New post 30 Aug 2014, 10:01
VeritasPrepKarishma wrote:
dkj1984 wrote:
Hi Karishma,

I understood your explanation for the general part,however,with reference to this problem,I am still a little confused.

Can u please elaborate on the usage of the weighted average method for this problem.

Thanks!

Regards,


Ok, let me explain using a different example.
Say a meal consists of a sandwich and a milkshake. You eat 1/2 of the sandwich and drink 1/2 of the milkshake. Can I say you have had 1/2 of the meal? Sure, right?
If you eat only 1/4 of the sandwich and drink 1/4 of the milkshake, then you would have had only 1/4 of the meal.
What happens in case you eat 1/2 of the sandwich but drink only 1/4 of the milkshake? In that case, you have had less than 1/2 of the meal but certainly more than 1/4 of the meal, right?

So when piglet A is fed 1/4 of the Oats and 1/6 of the Barley, it is fed less than 1/4 of the total food but more than 1/6 of the total food.

Another thing to consider here is that number of piglets has to be a positive integer, say 'n'. Now, since it is given that each piglet gets the same amount of food and there are n piglets, each piglet will get 1/n of the total food. So piglet A must have got 1/n of the total food too.

This 1/n must lie between 1/4 and 1/6. Only 1/5 lies between 1/4 and 1/6 (such that n is a positive integer). Hence n must be 5.

Hi Karishma,

I was with you until the highlighted statement above. I understand the logic as to why piglet A is fed less than a 1/4 but more than a 1/6. That being said, why is 1/5 the only other variables? Even though piglets have an integer constraint, I fail to see how that translates into your last statement?
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Re: Each piglet in a litter is fed exactly one-half pound of a [#permalink] New post 03 Sep 2014, 00:16
Expert's post
russ9 wrote:
VeritasPrepKarishma wrote:
dkj1984 wrote:
Hi Karishma,

I understood your explanation for the general part,however,with reference to this problem,I am still a little confused.

Can u please elaborate on the usage of the weighted average method for this problem.

Thanks!

Regards,


Ok, let me explain using a different example.
Say a meal consists of a sandwich and a milkshake. You eat 1/2 of the sandwich and drink 1/2 of the milkshake. Can I say you have had 1/2 of the meal? Sure, right?
If you eat only 1/4 of the sandwich and drink 1/4 of the milkshake, then you would have had only 1/4 of the meal.
What happens in case you eat 1/2 of the sandwich but drink only 1/4 of the milkshake? In that case, you have had less than 1/2 of the meal but certainly more than 1/4 of the meal, right?

So when piglet A is fed 1/4 of the Oats and 1/6 of the Barley, it is fed less than 1/4 of the total food but more than 1/6 of the total food.

Another thing to consider here is that number of piglets has to be a positive integer, say 'n'. Now, since it is given that each piglet gets the same amount of food and there are n piglets, each piglet will get 1/n of the total food. So piglet A must have got 1/n of the total food too.

This 1/n must lie between 1/4 and 1/6. Only 1/5 lies between 1/4 and 1/6 (such that n is a positive integer). Hence n must be 5.

Hi Karishma,

I was with you until the highlighted statement above. I understand the logic as to why piglet A is fed less than a 1/4 but more than a 1/6. That being said, why is 1/5 the only other variables? Even though piglets have an integer constraint, I fail to see how that translates into your last statement?


We need the solution for 1/n such that n is an integer. It must lie between 1/4 and 1/6 i.e. between .25 and .1666. What integer value can n take? Can it be 7? Will 1/7 lie between 1/6 and 1/4? Can it be 3? Will 1/3 lie between 1/4 and 1/6? n cannot be greater than 6 or less than 4 because it goes out of range. So n must be 5.
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Re: Each piglet in a litter is fed exactly one-half pound of a   [#permalink] 03 Sep 2014, 00:16

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Each piglet in a litter is fed exactly one-half pound of a

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