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

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Senior Manager
Joined: 11 May 2004
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Super Corp employs w women and m men. The avg age of all the [#permalink]  08 Nov 2005, 21:01
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.

Manager
Joined: 04 Oct 2005
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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.
SVP
Joined: 28 May 2005
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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.

_________________

hey ya......

Intern
Joined: 27 Sep 2005
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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 ?
Current Student
Joined: 23 Oct 2005
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Schools: Cranfield SOM
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Re: Stats [#permalink]  09 Nov 2005, 11:41
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.

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)
Senior Manager
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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.
Intern
Joined: 27 Sep 2005
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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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