Akansha wrote:On a certain sight-seeing tour, the ratio of the number of women to the number of children is 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.
This question is restricted to positive integers because it is about people. We can't have 2/3 of a child.
Given info is W:C = 5:2.
Question: M?
Statement 1: C:M = 5:11.
To combine this ratio with the first ratio, the common element (C) must be represented by the same value in each ratio.
W:C = 5:2 = 25:10
C:M = 5:11 = 10:22
Thus, W:C:M = 25:10:22.
Since we know only the ratio, no way to determine the actual value of M.
Insufficient.
Statement 2: W<30.
No way to determine M.
Insufficient.
Statements 1 and 2 together:
Given that W:C:M = 25:10:22 and W<30, we know that W=25 (because if we use a multiple of the ratio, the number of women will be at least 2*25 = 50).
Since W=25 and W:C:M = 25:10:22, M=22.
Sufficient.
The correct answer is
C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at
[email protected].
Student Review #1
Student Review #2
Student Review #3
