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How many pounds of dry fruit can be obtained

Expert replies
by mehravikas » Wed Nov 25, 2009 12:18 pm
Fresh fruits contain 72% of water and dry fruits contain 20% of water. How many pounds of dry fruits can be obtained from 100 pounds of fresh fruits?

answer: 35
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Source: — Problem Solving |

by Stuart@KaplanGMAT » Wed Nov 25, 2009 3:23 pm
mehravikas wrote:Fresh fruits contain 72% of water and dry fruits contain 20% of water. How many pounds of dry fruits can be obtained from 100 pounds of fresh fruits?

answer: 35
Assuming that there's nothing in fruit except for the fruit and water, if fresh fruit is 72% water, then it's 28% fruit; if dried fruit is 20% water, then it's 80% fruit. So, we can set up the ratio:

28/80= x/100

28/80 * 100/1 = x

7/20 * 100/1 = x

700/20 = x

35 = x
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by mehravikas » Thu Nov 26, 2009 11:25 am
Wow....you have made it look so simple. Thanks :-)
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by Gmatter2.0 » Sun Dec 06, 2009 9:39 pm
100 Fresh Fruit—Strictly it should have 72 lb Water and 28 lb Fruit according to the Qn.

Eliminate all choices with Fruit less than 28.

Now in Dry fruit the ratio is W/F=20/80=1/4

So for every 4 lb of Fruit 1lb is water

Therefore the Total Dry fruit from 100lb =28+28/4 * 1
=28+7
=35
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by viju9162 » Sun Dec 06, 2009 11:10 pm
Stuart Kovinsky wrote:
mehravikas wrote:Fresh fruits contain 72% of water and dry fruits contain 20% of water. How many pounds of dry fruits can be obtained from 100 pounds of fresh fruits?

answer: 35
Assuming that there's nothing in fruit except for the fruit and water, if fresh fruit is 72% water, then it's 28% fruit; if dried fruit is 20% water, then it's 80% fruit. So, we can set up the ratio:

28/80= x/100

28/80 * 100/1 = x

7/20 * 100/1 = x

700/20 = x

35 = x
Hi Stuart,

Won't you consider the water content ratio while solving ? You obtained the fruit ratio ( by subtracting water content) from the problem, but 100 pounds of fresh fruit also constitutes water content. I didnt understand the solution :-(.


Regards,
Viju
"Native of" is used for a individual while "Native to" is used for a large group
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by satish.nagdev » Tue Dec 08, 2009 1:20 am
I hope to make it simpler,
100 pounds of fresh fruit gives 28 pounds of dry fruit - water(20%) so that means 28 pounds of fruit = 80% of some dry fruit quantity not 100% right?
[28 = 80% * fruit ]+ water = actual dry fruit, so find quantity of fruit + water [I hope its clear now Viju :D]

*sorry edited 3 times to make it more clear*
Wounded by GMAT but not dead
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by viju9162 » Tue Dec 08, 2009 8:07 pm
got it :). Thank you.

Regards,
Viju
"Native of" is used for a individual while "Native to" is used for a large group
Join the discussion