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

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Manager
Joined: 25 Mar 2006
Posts: 132
Location: Stonybrook Univ
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In a certain warehouse, 60 % of the packages weigh less than [#permalink]  08 Apr 2006, 16:03
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Question Stats:

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
VP
Joined: 29 Dec 2005
Posts: 1348
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Re: PS OMG Packages everywhere !!! [#permalink]  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.
Manager
Joined: 25 Mar 2006
Posts: 132
Location: Stonybrook Univ
Followers: 1

Kudos [?]: 1 [0], given: 0

you got it ... OA is C) 96
Intern
Joined: 12 Feb 2006
Posts: 26
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Re: PS OMG Packages everywhere !!! [#permalink]  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
VP
Joined: 28 Mar 2006
Posts: 1383
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Re: PS OMG Packages everywhere !!! [#permalink]  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
Manager
Joined: 25 Mar 2006
Posts: 132
Location: Stonybrook Univ
Followers: 1

Kudos [?]: 1 [0], given: 0

hehe indeed he does
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