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The ratio of the number of women to the number of men to the

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mymba99
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The ratio of the number of women to the number of men to the [#permalink] The ratio of the number of women to the number of men to the   Updated on: 24 Sep 2013, 07:40
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The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?

(1) The total number of women and children in the room is 12.
(2) There are fewer than 4 men in the room.
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D

Originally posted by mymba99 on 28 Apr 2008, 13:24.
Last edited by Bunuel on 24 Sep 2013, 07:40, edited 1 time in total.
Added the OA.
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sidhu4u
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Re: DS - ratio [#permalink] The ratio of the number of women to the number of men to the   11 Mar 2010, 05:50
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5:2:7
let say common ratio is k
so 5k women 2k men and 7k children
total people in the room = 5k+2k+7k=14k

stmt1: 5k+7k = 12 => k = 1
therefore, no of people is 14*1 = 14

stmt2: fewer than 4 men means men can be 1 2 or 3

if no of men is 1 dat means k is 0.5 and women = 5 * 0.5 = 2.5 not possible
if no of men is 2 dat means k is 1 and women = 5 and children = 7 possible
if no of men is 3 dat means k is 1/3 and women = 5/3 not possible
since there is only one case so we can deduce no of people from this stmt too

so, answer is D
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abhijit_sen
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Re: DS - ratio [#permalink] The ratio of the number of women to the number of men to the   28 Apr 2008, 13:38
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Say total number of people are = 70x
So Women = 70x*5/14 = 25x
Children = 7*70x/14 = 35x
Men = 2*70x/14 = 10x

Statement 1:
Tells us 25x + 35x = 60x = 12, so total number of people = 70/5 = 14. So you know total number of people. Question is answered.

Statement 2:
Tells us there are fewer than 4 men in room. So it can be 1, 2, or 3.
If Men = 1, then women = 5/2 *1 = 2.5 So Not Possible
If Men = 2, then Women = 5/2 * 2 = 5, and Children = 7/2 * 2 = 7
If Men = 3, then Women = 5/2 * 3 = 7.5 So Not Possible.
From this statement also we know what the total number of people is. So this also answers the question.

Answer D.
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Re: The ratio of the number of women to the number of men to the [#permalink] The ratio of the number of women to the number of men to the   15 Nov 2013, 20:26
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Came across this in the GMAC practice exam. Should we not consider zero as an option for the number of men in statement two? When they give the ratio, we should assume there are at least some people in the room?
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The ratio of the number of women to the number of men to the [#permalink] The ratio of the number of women to the number of men to the   16 Nov 2013, 11:11
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gmatzac
The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?

(1) The total number of women and children in the room is 12.
(2) There are fewer than 4 men in the room.

Came across this in the GMAC practice exam. Should we not consider zero as an option for the number of men in statement two? When they give the ratio, we should assume there are at least some people in the room?

From the stem it follows that there are at least 5 women, 2 men and 7 children in the room.
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Re: The ratio of the number of women to the number of men to the [#permalink] The ratio of the number of women to the number of men to the   30 Jan 2014, 02:42
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mymba99
The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?

(1) The total number of women and children in the room is 12.
(2) There are fewer than 4 men in the room.

Let us say that there are 5x women, 2x men and 7x children

Statement I is sufficient:
12 = 5x + 7x
x = 1

Statement II is sufficient:
2x < 4 and x is a positive integer
Hence x has to be 1.

Answer is D
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Re: The ratio of the number of women to the number of men to the [#permalink] The ratio of the number of women to the number of men to the   13 Jul 2020, 03:08
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mymba99
The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?

(1) The total number of women and children in the room is 12.
(2) There are fewer than 4 men in the room.

W:M:C=5:2:7= 5x:2x:7x

(1) W+C=5x+7x=12
12x=12
x=1

Total = 14x=14
Sufficient.

(2) 2x<4= x<2
If x is less than 2, then x has to be 1, number of boys cannot be 0 or -ve.
Sufficient.

D
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Re: The ratio of the number of women to the number of men to the [#permalink] The ratio of the number of women to the number of men to the   29 Dec 2022, 08:25
sidhu4u
5:2:7
let say common ratio is k
so 5k women 2k men and 7k children
total people in the room = 5k+2k+7k=14k

stmt1: 5k+7k = 12 => k = 1
therefore, no of people is 14*1 = 14

stmt2: fewer than 4 men means men can be 1 2 or 3

if no of men is 1 dat means k is 0.5 and women = 5 * 0.5 = 2.5 not possible
if no of men is 2 dat means k is 1 and women = 5 and children = 7 possible
if no of men is 3 dat means k is 1/3 and women = 5/3 not possible
since there is only one case so we can deduce no of people from this stmt too

so, answer is D

why is it not possible that we don't have any men?
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Re: The ratio of the number of women to the number of men to the [#permalink] The ratio of the number of women to the number of men to the   16 Jul 2023, 03:57
sidhu4u
5:2:7
let say common ratio is k
so 5k women 2k men and 7k children
total people in the room = 5k+2k+7k=14k

stmt1: 5k+7k = 12 => k = 1
therefore, no of people is 14*1 = 14

stmt2: fewer than 4 men means men can be 1 2 or 3

if no of men is 1 dat means k is 0.5 and women = 5 * 0.5 = 2.5 not possible
if no of men is 2 dat means k is 1 and women = 5 and children = 7 possible
if no of men is 3 dat means k is 1/3 and women = 5/3 not possible
since there is only one case so we can deduce no of people from this stmt too

so, answer is D

what about the option of 0 men? why don't we count the possibility that the room is empty ?
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Re: The ratio of the number of women to the number of men to the [#permalink] The ratio of the number of women to the number of men to the   16 Jul 2023, 04:04
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MayaK
sidhu4u
5:2:7
let say common ratio is k
so 5k women 2k men and 7k children
total people in the room = 5k+2k+7k=14k

stmt1: 5k+7k = 12 => k = 1
therefore, no of people is 14*1 = 14

stmt2: fewer than 4 men means men can be 1 2 or 3

if no of men is 1 dat means k is 0.5 and women = 5 * 0.5 = 2.5 not possible
if no of men is 2 dat means k is 1 and women = 5 and children = 7 possible
if no of men is 3 dat means k is 1/3 and women = 5/3 not possible
since there is only one case so we can deduce no of people from this stmt too

so, answer is D

what about the option of 0 men? why don't we count the possibility that the room is empty ?

I tried explaining this here.

Hope it helps.
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Re: The ratio of the number of women to the number of men to the [#permalink]
16 Jul 2023, 04:04
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