You're over-thinking this problem. Look at statement 2 for a second. It is telling you that at 10% of women and 20% of men are employed. Right? So if at least 10% of women and at least 10% of men are employed...then at least 10% of the population is employed.

I am confused.

The questions ask if at least 10% of people 65 and older are employed. Statement B says Of the people 65 and older 20 % are employed men and 10 percent are employed women. SO therefore there are 30 percent employed people.

Yet the statement does not mention if the 65 and older people are 10% of the population. In other words the employed men and women can be 30 % of 10 % of people who are 65 and older or 30 % of 20% of people who are 65 and older.

does this work?

Men Women
Employed Not Employed Employed Not Employed Total
======================================================
Older than 65 20 80 10 90 200%

thus 30 out of 200 => 15%

always more than 10%.

kleef3f wrote:I am confused.

The questions ask if at least 10% of people 65 and older are employed. Statement B says Of the people 65 and older 20 % are employed men and 10 percent are employed women. SO therefore there are 30 percent employed people.

Yet the statement does not mention if the 65 and older people are 10% of the population. In other words the employed men and women can be 30 % of 10 % of people who are 65 and older or 30 % of 20% of people who are 65 and older.

but the question isn't asking you about the entire population. The question is: Are at least 10% of population 65+ employed?

Statement2: Says that of 65+, 10% women and 20% men employed.

kleef3f wrote:Are at least 10% of people 65 and older employed?
a. 11.3% of population is 65 or over
b. of those 65 and older, 20% of mean and 10% of women are employed.

I thought the answer was C but the correct answer is B. I can't figure out how B is sufficient to solve the problem.

Choice a has redundant data ... It does not help in any way in the calculation.
So answer can only be B or E
For choice B it says out of the 65 % old people 10% women are employed and 20% men are employed.

We want to come to the lowest fig possible for
Lets consider 3 cases here.
1. All the population is of men. This means 20 % of the population is employed
2. All the population is of women This means 10 % is employed.
3. There is a mixed ration of men and women. In any case the two points above form the boundry condition , so the no employed will always be greated than 10%

Hence B