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# Of the 60 animals on a certain farm, 2/3 are either pigs or

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Joined: 21 Feb 2012
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Of the 60 animals on a certain farm, 2/3 are either pigs or  [#permalink]

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08 Apr 2012, 00:39
2
5
00:00

Difficulty:

55% (hard)

Question Stats:

57% (00:59) correct 43% (00:23) wrong based on 144 sessions

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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 as it has pigs.
(2) The farm has more than 12 pigs.

Can some please explain this in detail.
Math Expert
Joined: 02 Sep 2009
Posts: 52387

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08 Apr 2012, 00:48
15
2
Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows?

2/3 of 60 animals are either pigs or cows. So there are total of 40 cows and pigs.

(1) The farm has more than twice as many cows as it has pigs --> $$c>2p$$ --> as $$c+p=40$$ then $$c=40-p$$ --> $$40-p>2p$$ --> $$13.3>p$$ --> $$p_{max}=13$$ and $$c_{min}=27$$. Many combinations are possible: (27,13), (28, 12), ... Not sufficient.

(2) $$p>12$$. Not sufficient

(1)+(2) $$p>12$$ but $$p_{max}=13$$, hence $$p=13$$ --> $$c=27$$. Sufficient.

In case of any question please post it here: of-the-60-animals-on-a-certain-farm-2-3-are-either-cows-or-92062.html
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Re: Of the 60 animals on a certain farm, 2/3 are either pigs or  [#permalink]

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24 Jul 2018, 21:20
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Of the 60 animals on a certain farm, 2/3 are either pigs or &nbs [#permalink] 24 Jul 2018, 21:20
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