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Material A costs $3 per kilogram, and material B costs $5

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Manager
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Joined: 01 Nov 2007
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Material A costs $3 per kilogram, and material B costs $5 [#permalink] New post 08 Jan 2008, 07:53
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Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms
of material K consists of x kilograms of material A and y kilograms of material B, is x >
y?
(1) y > 4
(2) The cost of the 10 kilograms of material K is less than $40.

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.
Expert Post
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Joined: 17 Nov 2007
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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Re: DS inequality S23_3 [#permalink] New post 08 Jan 2008, 09:04
Expert's post
B

(1) y > 4. y=4.5 x=5.5 and y=9 x=1 both satisfied the condition but we can't answer the question.

(2) 3x+5y<40
x+y=10 ==> 4x+4y=40 ==> 3x+5y<4x+4y ==> y<x. SUFF.
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Re: DS inequality S23_3   [#permalink] 08 Jan 2008, 09:04
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Material A costs $3 per kilogram, and material B costs $5

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