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

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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, 01:39
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.
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Joined: 02 Sep 2009
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08 Apr 2012, 01:48
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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?

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, 22:20
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Re: Of the 60 animals on a certain farm, 2/3 are either pigs or &nbs [#permalink] 24 Jul 2018, 22:20
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