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# If 99% of 100 pounds of fruit is water, and after dried, 98%

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Director
Joined: 17 Oct 2005
Posts: 821
If 99% of 100 pounds of fruit is water, and after dried, 98%  [#permalink]

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Updated on: 11 Jan 2006, 20:27
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If 99% of 100 pounds of fruit is water, and after dried, 98% of the fruit is water. What is the weight of the dried fruit?

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Originally posted by joemama142000 on 11 Jan 2006, 17:38.
Last edited by joemama142000 on 11 Jan 2006, 20:27, edited 1 time in total.
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Joined: 20 Nov 2005
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Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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11 Jan 2006, 17:46
0.02 Pounds

After dried weight (With waste) = 1 pound

After dried and removing the waste = 1 - 0.98 = 0.02 pounds.
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008
Director
Joined: 20 Sep 2005
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11 Jan 2006, 17:51
joemama142000 wrote:
If 99% of 100 pounds of fruit is water, and after dried, 98% of the fruit is wate. What is the weight of the dried fruit?

1% is the fruit = 1 pound. After drying 98% of the fruit is water. Remaining 2% of 1 pound is weight of dried fruit...0.02 pounds.
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Joined: 07 Jul 2004
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Location: Singapore

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11 Jan 2006, 18:41
Fruit: 100 pounds

Breakdown:
Water: 99 pounds
Leftover: 1 pound

98% of 1 pound is waste. So 0.02 pounds = dried fruit
Director
Joined: 17 Oct 2005
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11 Jan 2006, 20:38
sorry there was a typo

here is the correction

If 99% of 100 pounds of fruit is water, and after dried, 98% of the fruit is water. What is the weight of the dried fruit?
Director
Joined: 17 Oct 2005
Posts: 821

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11 Jan 2006, 20:47
there might be a typo in the quesiton to begin with

however the oa is 50

if you could shed some light i would appreciate it

x=weight of water after dried fruit

x/(x+1) =.98, x=49

y=weight of water before dried fruit
y/(y+1)=.99, y=99 weight of fruit=100-99=1

total dried fruit =weight of water +weight of fruit=49+1
Director
Joined: 04 Jan 2006
Posts: 842

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14 Jan 2006, 09:58
1
I think the solution goes like this:

Initially 100 pounds of fruit, 99 pounds water, 1 pound of of fruit.

Now dried fruit weight is X
so 2% of dried fruit is still 1 pound of fruit..

i.e 2/100 * X = 1
i.e X = 50 pounds

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Re: If 99% of 100 pounds of fruit is water, and after dried, 98%  [#permalink]

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19 Sep 2018, 21:29
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Re: If 99% of 100 pounds of fruit is water, and after dried, 98%   [#permalink] 19 Sep 2018, 21:29
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