The trick is to translate the words into math.Of the 1400 College teachers surveyed 42% said they considered engaging in research an essential goal. How many of the college teachers surveyed were women?
1. In the survey 36% of the men and 50% of the women said that they considered engaging in research an essential goal.
2. In the survey, 288 men said they considered engaging in research an essential goal.
Before we examine the 2 statements, we know that:
M+W = 1400 (since each of the teachers was either a man or a woman)
Statement 1:
.36M+.50W = .42*1400
This gives us a 2nd equation with M and W.
2 variables, 2 equations: Sufficient.
Statement 2:
Tells us nothing about the men and women who did not consider research an essential goal, so we can't determine the total number of women. Insufficient.
The correct answer is A.
