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A department manager distributed a number of pens, pencils, [#permalink]

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04 Jul 2009, 21:43

1

This post received KUDOS

6

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

48% (00:47) correct
52% (00:46) wrong based on 128 sessions

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A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?

(1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.

I don't understand whether the answer is C or E. If it is C, then it is a straightforward question. If it is E, Could someone elaborate..
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Keep trying no matter how hard it seems, it will get easier.

Re: A department manager distributed a number of pens, pencils, [#permalink]

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19 Jun 2013, 20:26

Going by someone's earlier equation : Given every one receives same no. of pens/pencils/pads: n(x+y+z) Stmt 1: x:y:z=2a:3a:4a => equation above becomes =n*9a -cant find n, neither do we know a- insufficient Stmt 2: x+y+z=81, above equations is =n*(81) - insufficient Both : n*81=n*9a =>a=9 , so the equation becomes 9n, still cant find n . Ans E

A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?

(1) The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively. (2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.