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# If w=4x, 2x=3y, and z=y/w, then w/z =

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VP
Joined: 30 Sep 2004
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Location: Germany
If w=4x, 2x=3y, and z=y/w, then w/z = [#permalink]

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12 Nov 2004, 11:04
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If w=4x, 2x=3y, and z=y/w, then w/z =
A. 4w
B. 20x
C. 28x
D. 24y
E. 36y

my way:

2x = 3y means y = 2/3x insert in z=y/w along with w=4x makes
z=(2/3x)/4x => z=1/6 insert in w/z along with w=4x => 4x/(1/6) => 24x ??? but it is not ??? why ???

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Director
Joined: 03 Nov 2004
Posts: 848

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12 Nov 2004, 11:18
24x can be further simplified using the equation 2x = 3y which will give you (24x * 3y)/2x => 36y

Kudos [?]: 58 [0], given: 0

Joined: 31 Dec 1969

Kudos [?]: [0], given:

Location: Russian Federation
GMAT 3: 740 Q40 V50
GMAT 4: 700 Q48 V38
GMAT 5: 710 Q45 V41
GMAT 6: 680 Q47 V36
GMAT 9: 740 Q49 V42
GMAT 11: 500 Q47 V33
GMAT 14: 760 Q49 V44
WE: Supply Chain Management (Energy and Utilities)

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12 Nov 2004, 11:40
...your ans is right, but isn`t it the same wether you represent it with x or y ?

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VP
Joined: 30 Sep 2004
Posts: 1480

Kudos [?]: 425 [0], given: 0

Location: Germany

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12 Nov 2004, 11:42
oh the guest above it is me

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Senior Manager
Joined: 19 Oct 2004
Posts: 315

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Location: Missouri, USA

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12 Nov 2004, 11:46
E...

w=4x=4*(3/2)y
=6y.

therefore, w/z=6y*(y/w)=6w=24x=12*2x=36y.
_________________

Let's get it right!!!!

Kudos [?]: 109 [0], given: 0

12 Nov 2004, 11:46
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