DS

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DS

by salma » Fri Jan 25, 2008 2:09 pm
Hi,
Can you please help me with this question:
On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?
(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11
(2) The number of women on the sight-seeing tour was less than 30.

The correct answer is C, both statements....
Is the answer based on the fact that from 1 and 2 we get 22w=55c and 25m=55c, so 22w=25m, and because the number of w (women) is less that 30, then the number of women is 22, and the number of men is 25.

Thank you so much for your help
Source: — Data Sufficiency |

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Re: DS

by Stuart@KaplanGMAT » Fri Jan 25, 2008 3:24 pm
salma wrote:Hi,
Can you please help me with this question:
On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?
(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11
(2) The number of women on the sight-seeing tour was less than 30.

The correct answer is C, both statements....
Is the answer based on the fact that from 1 and 2 we get 22w=55c and 25m=55c, so 22w=25m, and because the number of w (women) is less that 30, then the number of women is 22, and the number of men is 25.

Thank you so much for your help
Right... we know that people are always going to be represented by integers (there will never be a question on the GMAT where you end up with 12.5 men in a room), so since the lowest form of the ratio is 22:55:25, we know that the number of women has to be a multiple of 22.

However, I'm not sure why the answer also couldn't be 0, since it doesn't say anywhere that there's at least 1 person on the tour.
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by obi » Fri Aug 22, 2008 7:53 pm
can't be zero. There are people there for sure.

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by Stuart@KaplanGMAT » Sat Aug 23, 2008 7:32 am
obi wrote:can't be zero. There are people there for sure.
Where does it say that in the question?
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by Ian Stewart » Sat Aug 23, 2008 9:36 am
While I wondered the same the first time I saw the question, I don't think it would be a sight-seeing tour at all if there was no one taking the tour.

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Re: DS

by hengirl03 » Sat Aug 23, 2008 12:38 pm
If there are 22 women on the tour, shouldn't the part that is in bold say " the ratio of the number of women to the number of children was 2 to 5"?
salma wrote:Hi,
Can you please help me with this question:
On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?
(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11
(2) The number of women on the sight-seeing tour was less than 30.

The correct answer is C, both statements....
Is the answer based on the fact that from 1 and 2 we get 22w=55c and 25m=55c, so 22w=25m, and because the number of w (women) is less that 30, then the number of women is 22, and the number of men is 25.

Thank you so much for your help

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Re: DS

by 001 » Sun Aug 24, 2008 1:56 am
I think wo:ch:men = 25:10:22
hengirl03 wrote:If there are 22 women on the tour, shouldn't the part that is in bold say " the ratio of the number of women to the number of children was 2 to 5"?
salma wrote:Hi,
Can you please help me with this question:
On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?
(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11
(2) The number of women on the sight-seeing tour was less than 30.

The correct answer is C, both statements....
Is the answer based on the fact that from 1 and 2 we get 22w=55c and 25m=55c, so 22w=25m, and because the number of w (women) is less that 30, then the number of women is 22, and the number of men is 25.

Thank you so much for your help