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

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If 99% of 100 pounds of fruit is water, and after dried, 98% [#permalink]  11 Jan 2006, 17:38
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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?

Last edited by joemama142000 on 11 Jan 2006, 20:27, edited 1 time in total.
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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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Re: fruit /Mixture?PS [#permalink]  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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Fruit: 100 pounds

Breakdown:
Water: 99 pounds
Leftover: 1 pound

98% of 1 pound is waste. So 0.02 pounds = dried fruit
Director
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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
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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
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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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