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# Each employee on a certain task force is either a manager or

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Intern
Joined: 25 Jul 2007
Posts: 14

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Each employee on a certain task force is either a manager or [#permalink]

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27 Oct 2007, 10:33
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Each employee on a certain task force is either a manager or a director. What percent of the employees on the task force are directors?

(1) The average (arithmetic mean) salary of the managers on the task force is \$5000 less than the average salary of all employees on the task force.

(2) The average (arithmetic mean) salary of the directors on the task force is \$15,000 greater than the average salary of all employees on the task force.

I've put way too much time into this and can't figure it out--thanks!

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VP
Joined: 08 Jun 2005
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27 Oct 2007, 10:50
M = number of managers.
D = number of directors.
N = total employees.
X = average salary.

since:

NX = total salary

M(x-5000)+D(x+15000) = NX

MX-M5000+DX+D15000 = NX

and since:

M+D = N

then

MX+DX = NX

so:

-M5000+D15000 = 0

D15000 = M5000

3D = M

for every three directors you have one manager.

the answer is (C)

Kudos [?]: 257 [0], given: 0

27 Oct 2007, 10:50
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# Each employee on a certain task force is either a manager or

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