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# A department manager distributed a number of pens, pencils,

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Manager
Joined: 10 Oct 2005
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A department manager distributed a number of pens, pencils, [#permalink]

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31 Jan 2007, 06:12
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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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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31 Jan 2007, 06:19
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.

C

ONE GIVES THE GLOBAL RATIO

AND 9 IS THE FACTOR THAT TURNS THE NUMBERS IN STATMENT TWO INTO 2:3:4
Senior Manager
Joined: 04 Jan 2006
Posts: 279
Re: DS - Ratio's [#permalink]

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31 Jan 2007, 12:38
TOUGH GUY 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 ratio 2:3:4, respectively.

(2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads.

Question: How many staff members in the department?

(1) pen: pencil: pad: total items = 2:3:4:9
=> We know only the ratio but this cannot conculde the total amount of members in the department. INSUFF.

(2) pen: pencil: pad: total = 18 : 27 : 36 : (18 + 27 + 36) = 18: 27: 36: 81
=> We know the total items but we don't know how many people are there ( it could be 1, 3, or 9 people)

(1) + (2): Assume N people in the department

N(2 + 3 + 4) = 18 + 27 + 36
9N = 81
N = 9

C. is the answer.
Re: DS - Ratio's   [#permalink] 31 Jan 2007, 12:38
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# A department manager distributed a number of pens, pencils,

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