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A department manager distributed a number of pens, pencils,

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

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New post 21 Jan 2008, 13:10
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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 retio 2:3:4, respectively.


(2) The manager distributed a total of

18 pens, 27 pencils, and 36 pads
Expert Post
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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Re: DS - Stationery [#permalink]

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New post 21 Jan 2008, 13:27
Expert's post
E

1. obviously insufficient.

2. \(18=2*3^2\), \(27=3^3\), \(36=2^2*3^2\)
N can be \(3\) or \(9=3^2\)
insufficient

1&2. 18:27:36 ==> 2:3:4 the same solution as for 2. Insufficient.

Good Q
+1
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Re: DS - Stationery [#permalink]

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New post 21 Jan 2008, 19:03
JCLEONES wrote:
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 retio 2:3:4, respectively.


(2) The manager distributed a total of

18 pens, 27 pencils, and 36 pads


S1: Insuff, no information about the amount.

S2: could be several orders. 2pens, 3pencils, 4 pads or 6 pens, 9pencils and 12 pads.


This is the tricky part: using our example from S2 we can see that essentially they are both the same ratios, but have a different number of people.

So its E.
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Re: DS - Stationery [#permalink]

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New post 22 Jan 2008, 02:23
walker wrote:
E

1. obviously insufficient.

2. \(18=2*3^2\), \(27=3^3\), \(36=2^2*3^2\)
N can be \(3\) or \(9=3^2\)
insufficient

1&2. 18:27:36 ==> 2:3:4 the same solution as for 2. Insufficient.

Good Q
+1


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Re: DS - Stationery   [#permalink] 22 Jan 2008, 02:23
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A department manager distributed a number of pens, pencils,

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