Bunuel wrote:

The ratio of men to women in a certain club with 150 members is m : w and the ratio of officers to non-officers is o : n. There are 75 men in the club and there are 16 officers in the club. If two-fifteenths of female members are officers, how many male non-officers are in the club?

A. 6

B. 10

C. 65

D. 69

E. It cannot be determined from information given.

As one of our solutions is 'it cannot be determined' we cannot use the answers in this question.

Therefore, we'll go for a direct calculation, a Precise approach.

Let's write down what we know, going from the start of the question:

Men + Women = 150

Men = 75 --> Women = 150 - 75 = 75

Women officers = 2/15 * Women = 2/15 * 75 = 10

male officers = 16 - 10 = 6

male non-officers = 75 - 6 = 69.

(D) is our answer.

Bunuel are we assuming that the club contains only men and women (and not, say, children)?

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