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

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

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New post 14 Jun 2009, 00:03
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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 12. 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.

Need a good explanation for this question! thanks!

[Reveal] Spoiler:
C

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Re: DS - sight seeing tour [#permalink]

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New post 14 Jun 2009, 00:13
1) we don't know any number, only ratios. Insufficient.

2) there is no information about men. Insufficient.

1&2) w:c = 5:12 and c:m = 5:11. The number of children must be divisible by both 12 and 5. So, w:c:m = 25:60:132.
The number of women could be only 25*x, where x is a positive integer. Statement 2 says that the number of women is less than 30. Therefore, we have only one option: w=25, c=60, m=132. Sufficient.
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Re: DS - sight seeing tour [#permalink]

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New post 14 Jun 2009, 11:27
Jozu wrote:
On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 12. 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.

Need a good explanation for this question! thanks!

[Reveal] Spoiler:
C


x = number children
y = number of man.
w = number of women.

==> Children men = 7x/12
==> Children women= 5x/12

1. y =11x/5 ==> x is multiple of 12 and of 5 ==> x is multiple of 60. INF
2. w<30 ==> x<72 INF

Combine: x must be 60.

C is best.

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Re: DS - sight seeing tour [#permalink]

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New post 14 Jun 2009, 22:41
Just a correction to Walker's post....
w:c:m = 25:60:132.
I think it should be
w:c:m = 25:60:144.
Pls. correct me if i m wrong.

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Re: DS - sight seeing tour [#permalink]

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New post 15 Jun 2009, 02:57
walker wrote:
1) we don't know any number, only ratios. Insufficient.

2) there is no information about men. Insufficient.

1&2) w:c = 5:12 and c:m = 5:11. The number of children must be divisible by both 12 and 5. So, w:c:m = 25:60:132.
The number of women could be only 25*x, where x is a positive integer. Statement 2 says that the number of women is less than 30. Therefore, we have only one option: w=25, c=60, m=132. Sufficient.


I have the same answer.
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Re: DS - sight seeing tour [#permalink]

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New post 15 Jun 2009, 04:14
mdfrahim wrote:
Just a correction to Walker's post....
w:c:m = 25:60:132.
I think it should be
w:c:m = 25:60:144.
Pls. correct me if i m wrong.


(5:12) * 5 ---- (5:11) * 12
25 : 60 ---- 60 : 132
25:60:132
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Re: DS - sight seeing tour   [#permalink] 15 Jun 2009, 04:14
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