Probus wrote:
Hi
VeritasKarishmaI did figure out that we could use weighted averages for this problem
So we have \(\frac{(50-42)}{(42-36)}= \frac{M}{F}\)
this turn out to be \(\frac{(8)}{(6)}= \frac{M}{F}\)
So can we say in the research group ratio of \(\frac{F}{T}\)= \(\frac{6}{14}\)
Just to solve futher we have 42% 1400= 588
so we have \(\frac{6}{14} *588\)
So we have Females is 252
But my problem is that we are told in the second statement that 288 Men consider Research , so out of 588 we then have 300 Women
1 Contradicts 2. And on Gmat DS two statements never contradict
Can you help me identify my gaps?
The important thing here is this: What are the weights?
36% of total men and 50% of total women make up 42% of total teachers.
The weights are your total number of men and total number of women.
So your M/F = Total number of men / Total number of women = 8/6
So there are 6 women for every 14 total teachers.
Total number of women = (6/14) * 1400 = 600
Total number of men = (8/14) * 1400 = 800
50% of women consider research essential so 300 women consider research essential
36% of men consider research essential so 36% of 800 = 288 men consider research essential.
_________________
Karishma
Veritas Prep GMAT Instructor
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