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# On a particular tour at the zoo, the ratio of the number of men to the

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Math Expert
Joined: 02 Sep 2009
Posts: 43792
On a particular tour at the zoo, the ratio of the number of men to the [#permalink]

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08 Jan 2018, 22:35
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35% (medium)

Question Stats:

70% (01:14) correct 30% (01:00) wrong based on 20 sessions

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On a particular tour at the zoo, the ratio of the number of men to the number of children was 4 to 3. What was the number of women on the tour?

(1) The number of women on the tour was less than 40.
(2) On the tour, the ratio of number of the number of children to the number of women was 4 to 11.
[Reveal] Spoiler: OA

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On a particular tour at the zoo, the ratio of the number of men to the [#permalink]

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09 Jan 2018, 07:21
Bunuel wrote:
On a particular tour at the zoo, the ratio of the number of men to the number of children was 4 to 3. What was the number of women on the tour?

(1) The number of women on the tour was less than 40.
(2) On the tour, the ratio of number of the number of children to the number of women was 4 to 11.

Given $$m:c=4:3$$ we need number of women?

Statement 1: number of women can be any number less than $$40$$. Insufficient

Statement 2: we have $$c:w=4:11$$ and $$m:c=4:3$$ , $$c$$ is common in both the ratios, hence to combine the ratios we need a common value of $$c$$ in both the ratios

$$=> m:c:w=16:12:33$$. but we have no value here. Insufficient

Combining 1 & 2: we know number of women is a multiple of $$33$$ and less then $$40$$. so number of $$women=33$$. Sufficient

Option C
On a particular tour at the zoo, the ratio of the number of men to the   [#permalink] 09 Jan 2018, 07:21
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