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A luxury liner, Queen Marry II, is transporting several cats as well [#permalink]

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06 Aug 2008, 17:44

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A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 41 legs. How many cats does the ship host?

Re: A luxury liner, Queen Marry II, is transporting several cats as well [#permalink]

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06 Aug 2008, 18:31

GMAT_700 wrote:

If you know how to solve the following question and you know how to explain your answer, please let me know. By the way, I already found some explanations for this question, but I did not understand their explanations.

A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 41 legs. How many cats does the ship host? a)3 b)5 c)6 d)7 e)8

Re: A luxury liner, Queen Marry II, is transporting several cats as well [#permalink]

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07 Aug 2008, 06:31

GMAT_700 wrote:

If you know how to solve the following question and you know how to explain your answer, please let me know. By the way, I already found some explanations for this question, but I did not understand their explanations.

A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 41 legs. How many cats does the ship host? a)3 b)5 c)6 d)7 e)8

Re: A luxury liner, Queen Marry II, is transporting several cats as well [#permalink]

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07 Aug 2008, 16:48

x2suresh wrote:

GMAT_700 wrote:

If you know how to solve the following question and you know how to explain your answer, please let me know. By the way, I already found some explanations for this question, but I did not understand their explanations.

A luxury liner, Queen Marry II, is transporting several cats as well as the crew (sailors, a cook, and one-legged captain) to a nearby port. Altogether, these passengers have 15 heads and 41 legs. How many cats does the ship host? a)3 b)5 c)6 d)7 e)8

Re: A luxury liner, Queen Marry II, is transporting several cats as well [#permalink]

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25 Dec 2014, 11:53

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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The other explanations properly explain the algebra approach to this question, but the question can also be solved by TESTing THE ANSWERS.

**Note: the question probably means for us to assume that the cats each have 4 legs and each of the sailors and cook have 2 legs each**

We're told that there are 15 heads and 41 legs, so we're looking for an answer that makes THAT result happen.

Let's TEST...

Answer B: 5 cats

5 cats 1 captain 1 cook 8 sailors (because there are total heads)

5 cats = 20 legs 1 captain = 1 leg 1 cook = 2 legs 8 sailors = 16 legs Total legs = 39 legs This is TOO SMALL (there are supposed to be 41 legs).

Since we need 2 more legs, we can get that by replacing 1 sailor with 1 cat.

Answer C: 6 cats

6 cats = 24 legs 1 captain = 1 leg 1 cook = 2 legs 7 sailors = 14 legs Total legs = 41 legs This is a MATCH for what we're looking for, so this MUST be the answer!

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