Mo2men wrote:A marketing company doing a survey at a local nightspot asked 44 drinkers about their alcohol preferences. 10 people said they drink only wine, while 4 people said they only drink wine and hard liquor. One-fourth of all the people said they only drink beer, and there was no one that said they only drink beer and wine. If two people each said they drink either all three types of beverage or only liquor and the rest of the people drink only beer and liquor, how many people said they drink don't drink wine?
A. 34
B. 28
C. 23
D. 20
E. 11
The portion in red does not convey a clear meaning.
I believe that it is intended to convey the following:
Two people said that they drink all three types of liquor, while another two people said that they drink only liquor.
Total = (Only W) + (Only L) + (Only B) + (Only W and L) + (Only W and B) + (Only L and B) + (all 3).
Given values:
Total = 44.
Only W = 10.
Only W and L = 4.
Only B = (1/4)(44) = 11.
Only B and W = 0.
All 3 = 2.
Only L = 2.
Plugging these values into the blue equation, we get:
44 = 10 + 2 + 11 + 4 + 0 + (Only L and B) + 2
44 = 29 + (Only L and B)
(Only L and B) = 15.
Thus:
Total non-wine drinkers = (Only L) + (Only B) + (Only L and B) = 2 + 11 + 15 = 28.
The correct answer is
B.
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
