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# If Jim earns x dollars per hour, it will take him 4 hours to

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Manager
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If Jim earns x dollars per hour, it will take him 4 hours to [#permalink]

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29 Sep 2007, 21:48
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If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

B. 4x = 5y

4x - 5y = 0
x + y = $43.75 solve for x and y Senior Manager Joined: 27 Aug 2007 Posts: 253 Followers: 1 Kudos [?]: 12 [0], given: 0 ### Show Tags 29 Sep 2007, 22:03 I think it is B, 1st statement just restated given information about difference in wages. INSUFF 2nd statement gives enough info to calculate price of jacket. 4x-5y=0 x+y= 43.75 SUFF just solve system of equations Ans: B VP Joined: 08 Jun 2005 Posts: 1146 Followers: 7 Kudos [?]: 189 [0], given: 0 ### Show Tags 30 Sep 2007, 00:32 x*4 = 5*y x = 5/4*y statement I Tom makes 20% less per hour than Jim does. y = 4/5*x 5*y = 4*x 5/4*y = x will not add new information insufficient statement II x = 5/4y x + y = 43.75 5/4y+y = 43.75 10/5y = 43.75 sufficient the answer is (B) Director Joined: 18 Jul 2006 Posts: 528 Followers: 1 Kudos [?]: 55 [1] , given: 0 Re: DS- tough one [#permalink] ### Show Tags 30 Sep 2007, 00:56 1 This post received KUDOS Balvinder wrote: If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost? (1) Tom makes 20% less per hour than Jim does. (2) x + y =$43.75

From question: 4x=5y, find value of 4x or 5y
(1) y = .8x => 4x = 5y.... INSUFF
(2) x+y = 43.75; also 4x = 5y
solve for x or y ...SUFF

B
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Re: DS- tough one [#permalink]

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11 Feb 2008, 09:46
Juaz wrote:
Balvinder wrote:
If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket. How much does the jacket cost?

(1) Tom makes 20% less per hour than Jim does.

(2) x + y = \$43.75

From question: 4x=5y, find value of 4x or 5y
(1) y = .8x => 4x = 5y.... INSUFF
(2) x+y = 43.75; also 4x = 5y
solve for x or y ...SUFF

B

thanks for reducing it down to a SOE. the damn MGMAT explanation was a mindbender...
_________________

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Re: DS- tough one   [#permalink] 11 Feb 2008, 09:46
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# If Jim earns x dollars per hour, it will take him 4 hours to

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