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

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

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25 Jan 2008, 10:41
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Each piglet in a liiter 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
Director
Joined: 12 Jul 2007
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25 Jan 2008, 15:36
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I'm getting C here.

$formdata=\frac{1}{4}x+++\frac{1}{6}y+=+\frac{1}{2}+pound$

If X could be 0 then Y would be 3 and there would be 6 piglets.
If Y could be 0 then X would be 2 and there would be 4 piglets.

However, each piglet gets some of each grain so it has to be somewhere in the middle. If it can't be as much as 6 pigs, and it has to be more than 4 pigs, the answer must be 5 piglets!

The answer that works out best is x=1 and y=1.5

We get a total of 2.5 pounds of food, enough for 5 piglets. All other variations that work give us the number of pigs as >4, but <6 but have remainders of some kind or another.
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Joined: 22 Jan 2008
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25 Jan 2008, 20:18
eschn3am wrote:
I'm getting C here.

$formdata=\frac{1}{4}x+++\frac{1}{6}y+=+\frac{1}{2}+pound$

If X could be 0 then Y would be 3 and there would be 6 piglets.
If Y could be 0 then X would be 2 and there would be 4 piglets.

However, each piglet gets some of each grain so it has to be somewhere in the middle. If it can't be as much as 6 pigs, and it has to be more than 4 pigs, the answer must be 5 piglets!

The answer that works out best is x=1 and y=1.5

We get a total of 2.5 pounds of food, enough for 5 piglets. All other variations that work give us the number of pigs as >4, but <6 but have remainders of some kind or another.

Thats an nice explanation ...
What is the OA
Re: DS: piglet   [#permalink] 25 Jan 2008, 20:18
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