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# In a sample of patients at an animal hospital, 30 percent are cats and

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Math Expert
Joined: 02 Sep 2009
Posts: 49858
In a sample of patients at an animal hospital, 30 percent are cats and  [#permalink]

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29 Aug 2016, 04:07
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Difficulty:

45% (medium)

Question Stats:

62% (01:39) correct 38% (01:49) wrong based on 105 sessions

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In a sample of patients at an animal hospital, 30 percent are cats and 60 percent are not dogs. What fraction of those patients who are not cats are dogs?

A. 1/7
B. 1/3
C. 2/5
D. 3/5
E. 4/7

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Joined: 23 Apr 2015
Posts: 313
Location: United States
WE: Engineering (Consulting)
Re: In a sample of patients at an animal hospital, 30 percent are cats and  [#permalink]

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29 Aug 2016, 12:43
Bunuel wrote:
In a sample of patients at an animal hospital, 30 percent are cats and 60 percent are not dogs. What fraction of those patients who are not cats are dogs?

A. 1/7
B. 1/3
C. 2/5
D. 3/5
E. 4/7

Given 60% are not dogs, so 40% are dogs. Cats are 30% so 70% are not cats. Question is dogs to not cats$$= \frac{40}{70} =\frac{4}{7}$$. Answer is E
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Re: In a sample of patients at an animal hospital, 30 percent are cats and  [#permalink]

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29 Aug 2016, 17:35
Senthil1981 wrote:
Bunuel wrote:
In a sample of patients at an animal hospital, 30 percent are cats and 60 percent are not dogs. What fraction of those patients who are not cats are dogs?

A. 1/7
B. 1/3
C. 2/5
D. 3/5
E. 4/7

Given 60% are not dogs, so 40% are dogs. Cats are 30% so 70% are not cats. Question is dogs to not cats$$= \frac{40}{70} =\frac{4}{7}$$. Answer is E

Can we assume that the patient pool is comprised of only cats and dogs?
Senior Manager
Joined: 23 Apr 2015
Posts: 313
Location: United States
WE: Engineering (Consulting)
Re: In a sample of patients at an animal hospital, 30 percent are cats and  [#permalink]

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29 Aug 2016, 19:53
1
Donnie84 wrote:
Senthil1981 wrote:
Bunuel wrote:
In a sample of patients at an animal hospital, 30 percent are cats and 60 percent are not dogs. What fraction of those patients who are not cats are dogs?

A. 1/7
B. 1/3
C. 2/5
D. 3/5
E. 4/7

Given 60% are not dogs, so 40% are dogs. Cats are 30% so 70% are not cats. Question is dogs to not cats$$= \frac{40}{70} =\frac{4}{7}$$. Answer is E

Can we assume that the patient pool is comprised of only cats and dogs?

Even if there were other categories , the ratio would still remain the same. For example consider there were rabbits too, but dogs would still be 100 - not dogs and cats would still be same.
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Re: In a sample of patients at an animal hospital, 30 percent are cats and  [#permalink]

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14 Oct 2017, 08:46
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Re: In a sample of patients at an animal hospital, 30 percent are cats and &nbs [#permalink] 14 Oct 2017, 08:46
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