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in the animal shelter?

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in the animal shelter?

by sanju09 » Tue Aug 30, 2011 1:33 am
At a local animal shelter, there are 23 animals being cared for. If 15 of the animals are brown, 5 are brown cats, and 7 of the animals are neither brown nor cats, how many cats must be in the animal shelter?
(A) 1
(B) 4
(C) 5
(D) 6
(E) 8

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by edvhou812 » Tue Aug 30, 2011 1:51 am
sanju09 wrote:At a local animal shelter, there are 23 animals being cared for. If 15 of the animals are brown, 5 are brown cats, and 7 of the animals are neither brown nor cats, how many cats must be in the animal shelter?
(A) 1
(B) 4
(C) 5
(D) 6
(E) 8

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Is it 6, D?
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by Krk » Tue Aug 30, 2011 3:03 am
1. There are 15 brown animals in total
2. 5 are cats, hence 10 are not cats
3. There 7 animals neither cats nor brown.
4. Adding 10 to 7, there are 17 animals that are not cats.
5. So 23-17, 6 cats
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by jarmitage23 » Wed Aug 31, 2011 12:13 pm
Using a basic grid lay out, the number of total cats at the shelter is 6. Here are the steps I took:
1. There are 15 brown animals; therefore there are 8 animals that are not brown
2. 5 of the animals are brown and cats; so there has to be 10 animals that are brown that are not cats
3. If 7 are neither brown nor a cat then there are 17 non-cats at the shelter (10+7)
4. if there are 17 non-cats then there has to be 6 total cats at the shelter (23-17)

Sorry if my explanatIon is not concise, and I apologize for not uploading a diagram. I am somewhat new to the community
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