Bunuel wrote:

The ratio of men to women employed at Company X is m : w and the ratio of employees with a bachelors degree to employees with a masters degree is b : n. There are 75 men and 85 employees with masters degrees among the 150 employees at Company X. If all employees at Company X have a degree, which of the following could be the number of women with bachelors degrees?

A. 85

B. 75

C. 66

D. 51

E. It cannot be determined from information given.

Since there are 75 men, there must be 150 - 75 = 75 women.

There are 85 employees with master’s degrees. If we assume that all 75 men have master’s degrees, this means that there are 10 women who have a master’s degree, leaving 65 women with a bachelor’s degree.

Thus, it is possible for there to be 51 women with a bachelor's degree.

Answer: D

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