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# Pigs and cows

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Pigs and cows [#permalink]  16 Nov 2011, 14:21
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Question Stats:

33% (00:00) correct 66% (00:30) wrong based on 0 sessions
Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows?

(1) The farm has more than twice as many cows at it has pigs.

(2) The farm has more than 12 pigs.

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Re: Pigs and cows [#permalink]  16 Nov 2011, 22:23
1
KUDOS
enigma123 wrote:
Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows?

(1) The farm has more than twice as many cows at it has pigs.

(2) The farm has more than 12 pigs.

The wording of the question is a little ambiguous but this is what I infer from it:
Of the 60 animals, 2/3 i.e. 40 are either pigs or cows.
So the total number of pigs and cows on the farm = 40.

Stmnt 1: The farm has more than twice as many cows at it has pigs.

Of the 40, number of cows (c) is more than twice of number of pigs (p)
Many possible solutions:
c = 30, p = 10
c = 31, p = 9
etc

Stmnt 2: The farm has more than 12 pigs.
Many possible solutions:
c = 27, p = 13
c = 26, p = 14
etc

Both together:
p must be at least 13 so c can be at most 27 which satisfies stmnt 1.
If p = 14, c must be 26 but this doesn't satisfy stmnt 1.
As p increases, c decreases and c will never be more than twice of p.

So the only possible value is p = 13, c = 27

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Re: Pigs and cows   [#permalink] 16 Nov 2011, 22:23
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