On a certain sightseeing tour, the ratio of the # of women : DS Archive
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# On a certain sightseeing tour, the ratio of the # of women

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On a certain sightseeing tour, the ratio of the # of women [#permalink]

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22 Jan 2008, 14:01
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On a certain sightseeing tour, the ratio of the # of women to children is 5:2. What was the # of men on tour?

1) the ratio of children to men is 5:11
2) # of women on tour is less than 30
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22 Jan 2008, 16:21
1st statement helps us in getting the ratio of women to men ( W/C = 5/2, C/M = 5/11. Multiply W/C by 5/5 = 25/10. Multiply C/M by 2/2 will make it 10/22, hence W/M = 25/22)
2nd statement just tells that W is less than 30, it can be anything. Doesn't help in identifying the total # of people.
I would mark it to be E.
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22 Jan 2008, 16:32
Women:Children = 5:2

Statement 1 Children:Men 5:11

Taken together we have:

5:2 and 5:11 (find the common denominator for 2 and 5 to combine the children and we have)

25:10:22 for Women:Children:Men

Statement 2 Number of women is less than 30

Well to maintain our ratio the only number of women possible is 25. Which means there are 10 kids and 22 men. Taken together the statements are sufficient.

Re: DS   [#permalink] 22 Jan 2008, 16:32
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