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How much would 100lbs of potatoes @ 99% water weigh after they dry to 98% water?

Posted on 9/23/14 at 11:16 am
Posted by Pectus
Internet
Member since Apr 2010
67302 posts
Posted on 9/23/14 at 11:16 am
How much would 100lbs of potatoes @ 99% water weigh after they dry to 98% water?

Have fun!
Posted by CocomoLSU
Inside your dome.
Member since Feb 2004
150867 posts
Posted on 9/23/14 at 11:17 am to
A potato at 99% water? I don't even know what that means.


ETA: just type out "at." Hitting @ doesn't save you any time.
This post was edited on 9/23/14 at 11:18 am
Posted by FT
REDACTED
Member since Oct 2003
26925 posts
Posted on 9/23/14 at 11:17 am to
quote:

Have fun!
I will not.
Posted by Topwater Trout
Red Stick
Member since Oct 2010
67592 posts
Posted on 9/23/14 at 11:17 am to
100 lbs ???
This post was edited on 9/23/14 at 11:18 am
Posted by Green Chili Tiger
Lurking the Tin Foil Hat Board
Member since Jul 2009
47672 posts
Posted on 9/23/14 at 11:17 am to
Is trick question. No one have 100 lb of potato.
Posted by TheIndulger
Member since Sep 2011
19239 posts
Posted on 9/23/14 at 11:19 am to
premis ridiculous. who can have 100 pound of potato?
Posted by bwallcubfan
Louisiana
Member since Sep 2007
38132 posts
Posted on 9/23/14 at 11:19 am to
Posted by Neauxla
New Orleans
Member since Feb 2008
33449 posts
Posted on 9/23/14 at 11:21 am to
Well since I don't know what % of a potato's weight is water, I can't answer that.
Posted by supadave3
Houston, TX
Member since Dec 2005
30288 posts
Posted on 9/23/14 at 11:21 am to
100 lbs!
This post was edited on 9/23/14 at 11:22 am
Posted by Displaced
Member since Dec 2011
32719 posts
Posted on 9/23/14 at 11:21 am to
google says 50 lbs. im going with that.
This post was edited on 9/23/14 at 11:23 am
Posted by LSUBoo
Knoxville, TN
Member since Mar 2006
101930 posts
Posted on 9/23/14 at 11:22 am to
Somewhere in the vicinity of 99 pounds.

Take one down pass it around, 99 pounds of potatoes to dry.
Posted by Rouge
Floston Paradise
Member since Oct 2004
136842 posts
Posted on 9/23/14 at 11:22 am to
ib4 2 or 288
Posted by TigerPox
Member since Oct 2010
33333 posts
Posted on 9/23/14 at 11:24 am to
Potato Paradox Wiki Article

You actually had me thinking about how to calculate this!
Posted by BamaChemE
Midland, TX
Member since Feb 2012
7140 posts
Posted on 9/23/14 at 11:29 am to
Are you saying that 99% of the total weight is water? As in 99% of each potato is water, or that you have a system containing 100 pounds of potatoes making up 1 weight percent with an additional 9,900 pounds of water?

If it's case 1 the answer is 50 pounds.
Posted by nes2010
Member since Jun 2014
6778 posts
Posted on 9/23/14 at 11:32 am to
Do your own homework.
Posted by rebeloke
Member since Nov 2012
16142 posts
Posted on 9/23/14 at 11:33 am to
quote:

Fred brings home 100 lbs of potatoes, which (being purely mathematical potatoes) consist of 99 percent water. He then leaves them outside overnight so that they consist of 98 percent water. What is their new weight? The surprising answer is 50 lbs.


Why?

quote:

100 lbs of potatoes, 99% water (by weight), means that there's 99 lbs of water, and 1 lb of solids. It's a 1:99 ratio.

If the water decreases to 98%, then the solids account for 2% of the weight. The 2:98 ratio reduces to 1:49. Since the solids still weigh 1 lb, the water must weigh 49 lbs.

Posted by Bamaal
Birmingham
Member since Nov 2012
316 posts
Posted on 9/23/14 at 4:04 pm to
Someone posited that:
________________________________________
100 lbs of potatoes, 99% water (by weight), means that there's 99 lbs of water, and 1 lb of solids. It's a 1:99 ratio.

If the water decreases to 98%, then the solids account for 2% of the weight. The 2:98 ratio reduces to 1:49. Since the solids still weigh 1 lb, the water must weigh 49 lbs.
________________________________________
100 lbs of potatoes, 99% water (by weight), means that there's 99 lbs of water, and 1 lb of solids. THIS IS TRUE
If the water decreases to 98%, then the solids account for 2% of the weight. The 2:98 ratio reduces to 1:49. Since the solids still weigh 1 lb, the water must weigh 49 lbs. THIS IS NOT TRUE. The solid still weighs 1 lb, that’s true…what’s NOT true is that the solid is now 2% of the 100lbs…IF 99% equaled 99lbs, how could you possibly think that 98% equaled 49lbs? You’re saying that 100lbs of potatoes dried out a little, and lost HALF their weight?

So, let’s think about this….
If a potato is 99% water, then 100 lbs of potatoes contains 99 lbs of water and 1 lb of other material. For the potatoes to dry down to 98% water, we’ll need to understand that the solid portion still weighs 1 lb, but the 99 lbs of water is going to decrease…
The 1 lb of solid material remains, but the moisture content is reduced from 99% to 98%.
So the question is, if 99% equaled 99lbs of water, what does 98% weigh?

Which can be expressed as 99pct/99 lbs = 98pct/x lbs, cross multiply and we get 99x = 98 x 99, which equates to 99x=9702, which is expressed as x=9702/99, which equals 98… as in 98 lbs. And we still have our 1 lb of solid material, so our slightly drier potatoes now weigh in at 99 lbs instead of their previous 100 lbs!
Posted by The Goon
Baton Rouge, LA
Member since Nov 2008
1247 posts
Posted on 9/23/14 at 4:59 pm to
99/100= .99. (Original mass consistency)

(99-x)/((99-x)+1)=.98. (New mass consistency)

X=50lb of water removed from potato sack
Posted by LT
The City of St. George
Member since May 2008
5151 posts
Posted on 9/23/14 at 7:44 pm to
One percent less
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