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Re: Each piglet in a litter is fed exactly [#permalink]

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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

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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Re: Each piglet in a litter is fed exactly [#permalink]

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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?

Re: Each piglet in a litter is fed exactly one-half pound of a [#permalink]

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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?

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]

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30 Sep 2015, 11:50

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Each piglet in a litter is fed exactly one-half pound...... [#permalink]

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21 Sep 2016, 09:55

Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of barley to that of oats varies from piglet to piglet, but each piglet is fed some of both grains. How many piglets are there in the litter?

1) Piglet A was fed exactly 1/4 of the oats today. 2) Piglet A was fed exactly 1/6 of the barley today.

Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of barley to that of oats varies from piglet to piglet, but each piglet is fed some of both grains. How many piglets are there in the litter?

1) Piglet A was fed exactly 1/4 of the oats today. 2) Piglet A was fed exactly 1/6 of the barley today.

I'm happy to respond. My friend, you may not be aware of this, but by posting this in a new thread, you have violated the guidelines of GMAT Club. This individual question has been posted numerous times before, for example here: each-piglet-in-a-litter-is-fed-exactly-one-half-pound-of-a-82321.html Whenever you are curious about a math question, ALWAYS search extensively for the question before starting a new thread. Only start a new thread if you are 100% sure that the question has never been posted before on GMAT Club. I believe this question is from GMAT Prep. Every single math question in GMAT Prep has already been posted by someone somewhere in this forum. If you search, you will find a thread, and it may be that one of the posts already existing in that thread will answer your questions. If not, you can always add your own questions to that thread, and all the experts who already posted in that thread will be notified.

Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of barley to that of oats varies from piglet to piglet, but each piglet is fed some of both grains. How many piglets are there in the litter?

1) Piglet A was fed exactly 1/4 of the oats today. 2) Piglet A was fed exactly 1/6 of the barley today.

Merging topics. Please refer to the discussion on previous pages.
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Each piglet in a litter is fed exactly one-half pound of a mixture of oats and barley. The ratio of the amount of barley to that of oats varies from piglet to piglet, but each piglet is fed some of both grains. how many piglets are there in the litter?

(1) Piglet A was fed exactly 1/4 of the oats today (2) Piglet A was fed exactly 1/6 of the barley today

What bothers me is that it's unclear whether the statements are referring to the total amount of oats/barley fed to all of the piglets, or the total amount of oats/barley in the mixture. The original answer implies that we should assume those are the same (i.e. 100% of the mixture is fed to the piglets every day), but that seems far from obvious to me.

If you don't make that assumption, here's a solution where there are four piglets:

total mixture - 1.8 lbs oats, 0.3 lbs barley, 2.1 lbs total each piglet (including piglet A) gets 0.45 lbs of oats and 0.05 lbs of barley four piglets in total 0.1 lbs of the mixture goes uneaten
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Chelsey Cooley | Manhattan Prep Instructor | Seattle and Online

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