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In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a

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In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a [#permalink]

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New post 28 Dec 2004, 22:52
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In a certain warehouse, 60 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?

A. 8
B. 64
C. 96
D. 102
E. 144
[Reveal] Spoiler: OA
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Re: In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a [#permalink]

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New post 30 Dec 2004, 18:58
C
60% < 75 lbs; 48 < 25lbs &
80% >= 25lbs, so 20% = 48packages
Total no. of packages = 240
since 60% < 75 lbs which is 144packages and
48packages < 25 lbs. The required result is 144 - 48 = 96
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Re: In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a [#permalink]

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New post 08 Apr 2006, 17:32
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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Re: In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a [#permalink]

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New post 09 Apr 2006, 12:30
(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: In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a [#permalink]

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New post 25 Sep 2015, 05:44
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, how many packages weigh at least 25 lbs but less than 75 lbs.

a)8
b)64
c)96
d)102
e)144
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Re: In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a [#permalink]

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New post 25 Sep 2015, 07:12
Expert's post
sharmasneha 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, how many packages weigh at least 25 lbs but less than 75 lbs.

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


hello,
80% weigh atleast 25, so 20% weigh less than 25, equal to 48 packages...
so 20%=48..
now packages that weigh between 25 and 75= 60%-20%=40%...
since 20%=48, 40%=96..
C
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Re: In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a [#permalink]

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New post 25 Sep 2015, 08:17
rthothad wrote:
C
60% < 75 lbs; 48 < 25lbs &
80% >= 25lbs, so 20% = 48packages
Total no. of packages = 240
since 60% < 75 lbs which is 144packages and
48packages < 25 lbs. The required result is 144 - 48 = 96


Man... Missed the at-least part :(
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Re: In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a [#permalink]

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New post 25 Sep 2015, 09:50
kdhong wrote:
In a certain warehouse, 60 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?

A. 8
B. 64
C. 96
D. 102
E. 144


If 80% of the packages weigh at least 25 pounds
This means that 20% of the packages weigh LESS THAN 25 pounds
Let T = TOTAL number of packages
So, 20% of T = # of packages that weigh LESS THAN 25 pounds

48 packages weigh LESS THAN 25 pounds
GREAT. So, 20% of T = 48
Rewrite to get: 0.2T = 48
Solve: T = 240

60% of the packages weigh less than 75 pounds
So, 60% of T = number of packages that weigh less than 75 pounds
60% of 240 = 144, so 144 packages weigh less than 75 pounds

OF THOSE 144 packages that weigh less than 75 pounds, 48 packages weigh less than 25 pounds.
So, the number of packages that weight BETWEEN 25 and 75 pounds = 144 - 48 = 96 = C

Cheers,
Brent
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Re: In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a   [#permalink] 25 Sep 2015, 09:50
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In a certain warehouse, 60 % of the packages weigh less than 75 lbs, a

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