GODSPEED wrote:

Of the 1400 college teachers surveyed, 42% said that they considered enaggin in research an essential goal. How many 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 that they considered engaging in research an essential goal

What's the OA for this one?

I chose (E)

1st statement clearly insuff as we can't do the split

2nd statement clearly insuff as we know nothing bout women

From both statatement we can know the # of women that considerd engaging in reseach an essential goal but we don't know how many of them were surveyed in total.

Let me know if this makes sense

(1) In the survey 36% of men and 50% of women said that they consider engaging in research activity an essential goal.

(2) In the survey 288 men said that they consider engaging in research activity an essential goal.

(1) \(m+w=1400\) and \(1400*0.42=0.36*m+0.5*w\). Two unknowns two equations. Sufficient.

(2) From this we can calculate only that \(1400*0.42-288=300\) women consider engaging in research activity an essential goal. No other info. Not sufficient.

Answer: A.