Data Sufficiency

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?

A.) on the sight seeing tour, the ratio of the number of children to the number of men was 5 to 11
B.) the number of women on the sight- seeing tour was less than 30.

C

I selected E cause statement two says that the number of women on the sight seeing tour was less than 30. So if its less then 30 it could be any value hence we can not figure out the number men with both statments combined, but my reasoning is flawed. Please can someone explain how both statements are sufficient if statment two is saying less than 30?

Hi sq,

Well, since men, women and children must be positive integers, the number of options is limited.

If the ratio women-children is 5-2 and the number of women is less than 30 (statement 2), than that leaves only a few options

5 women - 2 children
10 women - 4 children
15 women - 6 children
20 women - 8 children
25 women - 10 children

Statement 1 tells us that the ratio men-children is 11-5, this means that of the list aboven, only the last options is a posibility, since all other options wouldn't yield an integer for the number of men.

Thus, we know that the number of men was 22, hence (1) and (2) together are sufficient, hence the answer is C.