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Super Corp employs w women and m men. The avg age of all the

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desiguy
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Super Corp employs w women and m men. The avg age of all the [#permalink] New post   08 Nov 2005, 22:01
Super Corp employs w women and m men. The avg age of all the women is 31 and the avg age of all men is 33. What is the avg age of all employees at Super corp?

1) 8w/3m = 3m/2w

2) There are 100 more men than women employed at Super Corp.

Please explain.



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Re: Super Corp employs w women and m men. The avg age of all the [#permalink] New post   09 Nov 2005, 04:06
Should be A, shouldn't it?

From (1) you get the ratio of men to woman. Multiply this whith the average age of men and women and you can calculate the average of all employees at Super corp

From (2) you get nothing. 100 employees from 80000 employees or just 8 employees??? The overall average would severly be influenced.
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Re: Super Corp employs w women and m men. The avg age of all the [#permalink] New post   09 Nov 2005, 09:00
from 1) we get 8w/3m = 3m/2w

or 16w^2= 9m^2
since # of employees can not be -ve,

so 4w = 3m

or w/m =3/4

so the average age of al the employee is equal to 3/7*31 +4/7*33 = ??


2) does not help at all.

So A is the answer.
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Re: Super Corp employs w women and m men. The avg age of all the [#permalink] New post   09 Nov 2005, 10:09
I think C is the answer. Both A and B are required to find the exact number of men (m) and women (w).

Average age of all employees = (Am * m + Aw * w)/m+w

Am - average age of men - known - 31
Aw - average age of women- known - 33

Answer choice A - does NOT give the actual value of m and w. Only the ratios are given.

Answer choice B - still does not give the actual values of m and w.
With both A and B - m and w can be solved

So seems like C is the right answer. Any ideas ?
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Re: Super Corp employs w women and m men. The avg age of all the [#permalink] New post   09 Nov 2005, 12:41
desiguy wrote:
Super Corp employs w women and m men. The avg age of all the women is 31 and the avg age of all men is 33. What is the avg age of all employees at Super corp?

1) 8w/3m = 3m/2w

2) There are 100 more men than women employed at Super Corp.

Please explain.


Is the answer (A).
Sum of womens age = 31w
Sum of mens age = 33m
Average age of employee = 31w + 33m / (w + m)

From (1) we can arrive at m = 4/3 * w
Substitute in equation and we can find the answer. Suff.

From (2) we only know that m - w = 100. Insuff.

Hence (A)
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Re: Super Corp employs w women and m men. The avg age of all the [#permalink] New post   09 Nov 2005, 14:01
OA is A.

Given the avg of Group A and the average of Group B, we can determine the overall average using a ratio comparing the number in to the number in B.
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Re: Super Corp employs w women and m men. The avg age of all the [#permalink] New post   11 Nov 2005, 09:04
With m = 4/3w (answer choice A), we can find the average.

So the answer is A, not C as I said before.



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Re: Super Corp employs w women and m men. The avg age of all the [#permalink]
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