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The ratio of men to children on a tour is 8:3. How many men are there?

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Senior Manager
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The ratio of men to children on a tour is 8:3. How many men are there?  [#permalink]

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New post Updated on: 14 May 2017, 00:50
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

64% (00:56) correct 36% (00:42) wrong based on 132 sessions

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The ratio of men to children on a tour is 8:3. How many men are there?

(1) Ratio of children to women is 5:13
(2) There are fewer than 50 women on the tour.

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Originally posted by Kritesh on 13 May 2017, 23:57.
Last edited by Bunuel on 14 May 2017, 00:50, edited 1 time in total.
Renamed the topic and edited the question.
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Re: The ratio of men to children on a tour is 8:3. How many men are there?  [#permalink]

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New post 14 May 2017, 00:55
i will go with C. my reasoning m:c = 8:3,
with A. we get ratio of m:c:w = 40:15:39. can be multiples of same. cant answer our question
B gives w <50
hence w= 39, m= 40.

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Re: The ratio of men to children on a tour is 8:3. How many men are there?  [#permalink]

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New post 14 May 2017, 00:58
The ratio of men to children on a tour is 8:3. How many men are there?

men/children = 8/3

(1) Ratio of children to women is 5:13 --> children/women = 5/13 = 15/39. From above men/children = 40/15. Thus, men/children/women = 40/15/39. We know only ratios and cannot get the numerical value of men. Not sufficient.

(2) There are fewer than 50 women on the tour. Clearly insufficient.

(1)+(2) From men/children/women = 40/15/39 it follows that the number of women is a multiple of 39. Since we know that there are fewer than 50 women, then there must be 39 women, which implies that there are 40 men. Sufficient.

Answer: C.

Hope it's clear.
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Re: The ratio of men to children on a tour is 8:3. How many men are there?  [#permalink]

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New post 14 May 2017, 01:31
C,
1. ratio of m:c:w is 40:15:39, doesn't tell anything about number of men
2.w<50,alone doesn't tell anything about men
Combined, w must be 39 hence m is 40, sufficient.

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Re: The ratio of men to children on a tour is 8:3. How many men are there? &nbs [#permalink] 14 May 2017, 01:31
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