Problem Solving

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 children to the number of men was 5 to 11.
2) The number of women on the sight-seeing tour was less than 30

OA is C.

hi.

are you sure the answer is C?

I would think it is E, because even though you have the ratios for each, answer B just states that the number of Women is less than 30 (i.e. 5, 10, 15, 20 , 25). Because this is not a constant value, we cannot determine the values of the others.

Yes, I picked E also, but somehow the oa is showed as C.

the trick is that you can't have 3/4 children or men on the trip, it must be an integer.

1) tells you that the number of children must be a multiple of 5, actually, must be a multiple of 10, because multiples of 5 ending in 5 are not multiples of 2 (2 children for each 5 women) so, 10, 20, 30, all are possible, insufiicient.

2) women are less than 30, by itself insufficient, can be any number.

together.
women less tahn 30 and chilren multiple of 10, so must be 25 women and 10 children, otherwise children are not a multiple of 10. so the men are 22. C is the answer

oh duh, so basically W has to be a number such that C will be a multiple of 2 and 5...