klaud wrote:A club sold an average (arithmetic mean) of 92 raffle tickets per member. Among the female members, the average number sold was 84, and among the male members, the average number
sold was 96. What was the ratio of the number of male members to the number of female members in the club?
(A) 1 : 1 (B) 1 : 2 (C) 1 : 3 (D) 2 : 1 (E) 3 : 1
We can plug in the answers, which represent the ratio of men to women.
The average for the whole club (92) is closer to the average for the men (96) than to the average for the women (84).
Thus, there must be MORE MEN than women.
Eliminate A, B and C.
Answer choice D: M:W = 2:1.
If there are two men and 1 woman, the total number of tickets sold = 2(96) + 1(84) = 276.
Average sold by all 3 members = 276/3 = 92.
Success!
The correct answer is
D.
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