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In a certain warehouse, 60 % of the packages weigh less than

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Manager
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Joined: 25 Mar 2006
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Location: Stonybrook Univ
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In a certain warehouse, 60 % of the packages weigh less than [#permalink] New post 08 Apr 2006, 16:03
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100% (01:05) correct 0% (00:00) wrong based on 1 sessions
In a certain warehouse, 60 % of the packages weigh less than 75 lbs, and a total of 48 packages weigh less than 25 lbs. If 80% of the packages weigh at least 25 pounds, howmany packages weigh at least 25 lbs but less than 75 lbs.

a)8
b)64
c)96
d)102
e)144

no typo this time :)
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Re: PS OMG Packages everywhere !!! [#permalink] New post 08 Apr 2006, 16:32
NTLancer wrote:
In a certain warehouse, 60 % of the packages weigh less than 75 lbs, and a total of 48 packages weigh less than 25 lbs. If 80% of the packages weigh at least 25 pounds, howmany packages weigh at least 25 lbs but less than 75 lbs.

a)8
b)64
c)96
d)102
e)144

no typo this time :)


less than 75 lbs = 60%
at least 25 lbs = 80%
25 lbs or less than 25 lbs = 20% which equivalant = 48 packages
so 100% = 240

at least 25 lbs but less than 75 lbs = 40%
no of packages that weigh at least 25 lbs but less than 75 lbs = 40% of 240 = 96.
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 [#permalink] New post 08 Apr 2006, 16:50
you got it ... OA is C) 96
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Re: PS OMG Packages everywhere !!! [#permalink] New post 09 Apr 2006, 11:30
(8/10)x = 48 + (6/10)x Solve for x
x=240

(6/10)240 = 144 Total packages that weigh less than 75 pounds

We know 48 packages weigh less than 25 pounds so subtract those from 144. 144-48=96 packages
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Re: PS OMG Packages everywhere !!! [#permalink] New post 09 Apr 2006, 11:35
Professor wrote:
NTLancer wrote:
In a certain warehouse, 60 % of the packages weigh less than 75 lbs, and a total of 48 packages weigh less than 25 lbs. If 80% of the packages weigh at least 25 pounds, howmany packages weigh at least 25 lbs but less than 75 lbs.

a)8
b)64
c)96
d)102
e)144

no typo this time :)


less than 75 lbs = 60%
at least 25 lbs = 80%
25 lbs or less than 25 lbs = 20% which equivalant = 48 packages
so 100% = 240

at least 25 lbs but less than 75 lbs = 40%
no of packages that weigh at least 25 lbs but less than 75 lbs = 40% of 240 = 96.


Prof you rock :-D
Manager
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Posts: 132
Location: Stonybrook Univ
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 [#permalink] New post 09 Apr 2006, 11:51
hehe indeed he does :)
  [#permalink] 09 Apr 2006, 11:51
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