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# In a group, the ratio of the number of women to the number of children

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Manager
Joined: 07 Jun 2017
Posts: 162
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
In a group, the ratio of the number of women to the number of children  [#permalink]

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25 Oct 2017, 23:46
3
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Difficulty:

35% (medium)

Question Stats:

70% (01:32) correct 30% (01:37) wrong based on 94 sessions

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In a group, the ratio of the number of women to the number of children is 7:2. What is the number of men in the group?

(1) The ratio of the number of children to the number of men is 3:5.
(2) The number of children in the group is between 10 and 15.

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Intern
Joined: 29 Aug 2017
Posts: 35
Re: In a group, the ratio of the number of women to the number of children  [#permalink]

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26 Oct 2017, 00:06
1
Women:Children = 7:2
Number of men = ?

Statement 1:
Children:Men = 3:5
Women:Children = 7:2
This just gives us information to solve for ratio of women, men and children together but not the number of men.

Statement 2:
Number of children is between 10 and 15.
Insufficient because no information about men.

Combining statements 1 and 2:
Children:Men = 3:5
Women:Children = 7:2
Women:Children:Men = 21:6:10
Number of children is between 10 and 15
But, the number of children is a multiple of 6. So, number of children = 6*2 = 12. Common multiplier is 2.
Therefore, number of men can also be calculated. It is 10*2 = 20

Answer is C.
Intern
Joined: 12 Oct 2017
Posts: 38
In a group, the ratio of the number of women to the number of children  [#permalink]

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26 Oct 2017, 00:30
Answer C.

Statement 1: we know only the ratio between women, children and men => dont know anything about the total number of people or the number of women/ children => can't calculate the number of men => insufficient.

Statement 2: No info about men or relationship between men and children => insufficient.

Combine (1) & (2): we have:

Women : Children = 7 : 2. => we can express the number of women and children as 7x and 2x respectively.
Children : Men = 3 : 5 => the number of men = the number of children : (3/5) = 2x : 3/5 = 10x/3 => x must be the multiplier of 3

Since, the number of children in the group is between 10 and 15 => 10 <= 2x <= 15. Thus 5<=x<=7 => x = 6 => Number of men = 20

Hence, the answer is C.
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Senior Manager
Joined: 17 Oct 2016
Posts: 257
Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GMAT 2: 680 Q48 V35
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WE: Pharmaceuticals (Health Care)
Re: In a group, the ratio of the number of women to the number of children  [#permalink]

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25 Apr 2019, 09:24
Women:Children = 7:2

Statement (1):

Children:Men = 3:5. So, Women:Children:Men = 21:6:10. Insufficient.

Statement (2):

We do not know anything about men, so we cannot determine the number. Insufficient.

Combining both,

Women:Children:Men = 21:6:10 and number of children is between 10 and 15. Considering that we have to deal with whole numbers only, the only combination is 42:12:20. There are 20 men. Sufficient.

Answer C
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Re: In a group, the ratio of the number of women to the number of children   [#permalink] 25 Apr 2019, 09:24
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# In a group, the ratio of the number of women to the number of children

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