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# On a certain sight-seeing tour, the ratio of the number of

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Intern
Joined: 19 Jan 2009
Posts: 22
On a certain sight-seeing tour, the ratio of the number of [#permalink]

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05 Feb 2009, 04:24
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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) 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
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Joined: 29 Aug 2007
Posts: 2467
Re: DS ratios [#permalink]

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05 Feb 2009, 07:18
jairus wrote:
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) 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

w/c = 5/2
c = 2w/5

1: c/m = 5/11
c = 5m/11

2: w < 30.

togather: 5m/11 = 2w/5
m/w = 22/25

so w = 25
m = 22

C.
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Intern
Joined: 19 Jan 2009
Posts: 22
Re: DS ratios [#permalink]

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05 Feb 2009, 12:27
GMAT TIGER wrote:
jairus wrote:
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) 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

w/c = 5/2
c = 2w/5

1: c/m = 5/11
c = 5m/11

2: w < 30.

togather: 5m/11 = 2w/5
m/w = 22/25

so w = 25
m = 22

C.

Why w = 25? is it because there are no other numbers less than 30 that make c, m, w all integers?
Senior Manager
Joined: 30 Nov 2008
Posts: 483
Schools: Fuqua
Re: DS ratios [#permalink]

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05 Feb 2009, 13:32
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jairus wrote:
GMAT TIGER wrote:
jairus wrote:
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) 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

w/c = 5/2
c = 2w/5

1: c/m = 5/11
c = 5m/11

2: w < 30.

togather: 5m/11 = 2w/5
m/w = 22/25

so w = 25
m = 22

C.

Why w = 25? is it because there are no other numbers less than 30 that make c, m, w all integers?

Based on what GMAT TIGER explained, ratio of W:C:M is 25:10:22. So the mimimum number of women is 25 and is the only number less than 30. So when women are 25, then men will be 22.

Just as an FYI......If the second statement was given as "The number of women on the sight-seeing tour was less than 60", then number of women can be either 25 / 50. So in this case number of men can be either 22 or 44 which becomes insufficient to answer.
Re: DS ratios   [#permalink] 05 Feb 2009, 13:32
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# On a certain sight-seeing tour, the ratio of the number of

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