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# On a certain sight-seeing tour, the ratio of the number of

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Manager
Joined: 10 Oct 2018
Posts: 128
Location: United States
GPA: 4
WE: Human Resources (Human Resources)
On a certain sight-seeing tour, the ratio of the number of  [#permalink]

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Updated on: 23 Jan 2019, 05:40
Question states women(W) to children(C) are in the ratio of 5:2.

Statement 1: C:M is 5:11(M is for male)

Therefore,
W:C:M
5:2
5:11 => 25:10:22
But nothing about number of men can be found. NOT SATISFIED.

Statement 2: W<30
Again nothing about number of men is given. NOT SATISFIED.

Combining both statements:
W is less than 30, so W would be 25 and M-men will be 22.

Posted from my mobile device
_________________

Originally posted by topper97 on 14 Oct 2018, 05:09.
Last edited by topper97 on 23 Jan 2019, 05:40, edited 1 time in total.
Intern
Joined: 20 Jan 2019
Posts: 2
Re: On a certain sight-seeing tour, the ratio of the number of  [#permalink]

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22 Jan 2019, 18:37
alpha_plus_gamma wrote:
clubzzang wrote:
Ppl, pls help me solve this q.

On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?

(1) On the sight-seeing tour, the ratio of the number of chilren to the number of men was 5 to 11.
(2) The number of women on the sight-seeing tour was less than 30.

Thanks!

C.

w:c = 5:2

1) c:m = 5:11

w:c:m = 25:10:22

But this does not give us exact number of men

2) this itself does not tell anything about number of men.

Toegther, since number of women is less than 30 and since the number of ppl will always be an integer and also that
25:10:22 can not be reduced further => there will be 25 women => there will be 22 men. thus suf
f

can you please further explain the underlined part? I don't get why there needs to be 25 women and not 26,27,28 or 29?

Thanks,
Manager
Joined: 10 Oct 2018
Posts: 128
Location: United States
GPA: 4
WE: Human Resources (Human Resources)
On a certain sight-seeing tour, the ratio of the number of  [#permalink]

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23 Jan 2019, 05:57
tsimo1000 wrote:
alpha_plus_gamma wrote:
clubzzang wrote:
Ppl, pls help me solve this q.

On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight-seeing tour?

(1) On the sight-seeing tour, the ratio of the number of chilren to the number of men was 5 to 11.
(2) The number of women on the sight-seeing tour was less than 30.

Thanks!

C.

w:c = 5:2

1) c:m = 5:11

w:c:m = 25:10:22

But this does not give us exact number of men

2) this itself does not tell anything about number of men.

Toegther, since number of women is less than 30 and since the number of ppl will always be an integer and also that
25:10:22 can not be reduced further => there will be 25 women => there will be 22 men. thus suf
f

can you please further explain the underlined part? I don't get why there needs to be 25 women and not 26,27,28 or 29?

Thanks,

I'll try.
Stat 1 mentions something about M, but it just provides a ratio of W:C:M. A ratio by itself is not sufficient to provide the actual number. That is why it's not sufficient to answer the question because as per the ratio the number of men can be 22 or 44 [50:20:44] or 88[100:40:88] etc.

Statment 2 says W<30 but nothing about number of men is mentioned and from the question stem, we only know that W:C is 5:2. Not satisfied.

Combining 1 and 2, we know the ratio of W:C:M is 25:10:22. As I mentioned in statement 1, the number can be 25:10:22 or 50:20:44 or 100:40:88 etc. But wait. statement 2 says W<30. So we have to stick to 25:10:22 as we can see W is less than 30 indeed. If you double the ratio, W will increase and will not satisfy W<30. So we'll have to take 25:10:22 into consideration and conclude that number of men=22. Satisfied.
Now your question of why there needs to be 25 women and not 26,27,28 or 29? If that happens, it will hamper the ratio of 25:10:22 and that will be absolutely wrong.
Hope you got it!
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On a certain sight-seeing tour, the ratio of the number of   [#permalink] 23 Jan 2019, 05:57

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