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| Total Votes : 28 |
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crisdean
Joined: 04 Feb 2010 Location: Seoul Special City
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Posted: Sun Apr 10, 2011 9:36 pm Post subject: |
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| silkhighway wrote: |
WE may as well make this the thread of math nerdiness, kind of like the chess club of Dave's ESL Cafe.
I have two 1L jugs. In one jug I have red wine and in the other jug I have water. I take exactly one teaspoon of wine from the wine jug and pour the teaspoon in the water jug. I then swirl around the water jug until it's slightly purplish. I then take exactly one teaspoon of the water/wine mix from the water jug and pour that teaspoon in the wine jug.
Now is there more wine in the water jug, or more water in the wine jug? |
metric (5mL), imperial (~5.919mL), or US (~4.9289mL) teaspoon? |
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RMNC

Joined: 21 Jul 2010
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Posted: Sun Apr 10, 2011 9:49 pm Post subject: |
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I'm not really going to think it through but I'll guess that there is more wine in the water jug than water in the wine jug. If it's not a pure teaspoon of water then the pure teaspoon of wine is "greater", ergo my answer.
Alternatively I could imagine the answer being "neither" due to the dissolution of the wine, but the original question never said anything about that, and I don't want to think that hard right now. |
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interestedinhanguk

Joined: 23 Aug 2010
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Posted: Mon Apr 11, 2011 2:25 am Post subject: |
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| silkhighway wrote: |
WE may as well make this the thread of math nerdiness, kind of like the chess club of Dave's ESL Cafe.
I have two 1L jugs. In one jug I have red wine and in the other jug I have water. I take exactly one teaspoon of wine from the wine jug and pour the teaspoon in the water jug. I then swirl around the water jug until it's slightly purplish. I then take exactly one teaspoon of the water/wine mix from the water jug and pour that teaspoon in the wine jug.
Now is there more wine in the water jug, or more water in the wine jug? |
How much of each liquid is in the jugs? |
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silkhighway
Joined: 24 Oct 2010 Location: Canada
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Posted: Mon Apr 11, 2011 4:42 am Post subject: |
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| crisdean wrote: |
metric (5mL), imperial (~5.919mL), or US (~4.9289mL) teaspoon? |
Not Relevant.
| interestedinhanguk wrote: |
How much of each liquid is in the jugs? |
Exactly 1L in each jug.
There are no word play tricks in the problem. |
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interestedinhanguk

Joined: 23 Aug 2010
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Posted: Mon Apr 11, 2011 5:13 am Post subject: |
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The jug will overflow if is a 1 liter jug with 1 liter of liquid and you add a teaspoon to it . |
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RMNC

Joined: 21 Jul 2010
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Posted: Mon Apr 11, 2011 5:26 am Post subject: |
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| I was going to post that, but I assumed that the jugs were not exactly level with the top of the jug, since that would be weird. And it's not like the wine wouldn't mix in some small fashion even if it "didn't fit", as he says he mixes it in with the water jug. I need to know if any or all of the wine would have not mixed in, in that case, and whether the jug "holds 1L" or is "exactly 1L with 1L of water/wine in it" |
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crisdean
Joined: 04 Feb 2010 Location: Seoul Special City
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Posted: Mon Apr 11, 2011 5:32 am Post subject: |
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| silkhighway wrote: |
| crisdean wrote: |
metric (5mL), imperial (~5.919mL), or US (~4.9289mL) teaspoon? |
Not Relevant. |
You're right, it doesn't matter.
In any case there will be an equal amount of water diluting the wine and wine diluting the water. |
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silkhighway
Joined: 24 Oct 2010 Location: Canada
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Posted: Mon Apr 11, 2011 5:40 am Post subject: |
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| RMNC wrote: |
| I was going to post that, but I assumed that the jugs were not exactly level with the top of the jug, since that would be weird. And it's not like the wine wouldn't mix in some small fashion even if it "didn't fit", as he says he mixes it in with the water jug. I need to know if any or all of the wine would have not mixed in, in that case, and whether the jug "holds 1L" or is "exactly 1L with 1L of water/wine in it" |
Ha, you guys are overthinking it. The jugs hold exactly 1L of "measured" liquid. There's room to stir though. No liquid gets wasted. |
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cyui
Joined: 10 Jan 2011
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Posted: Mon Apr 11, 2011 10:08 am Post subject: |
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1,000,000,000,000/
not divisible by 1 ( makes a circle around and around) |
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interestedinhanguk

Joined: 23 Aug 2010
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Posted: Mon Apr 11, 2011 2:06 pm Post subject: |
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| Left to right (in reference to the original question). |
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Underwaterbob

Joined: 08 Jan 2005 Location: In Cognito
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Posted: Mon Apr 11, 2011 3:23 pm Post subject: |
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| I think the question becomes: where do we draw the line between water and wine? A significant part of wine is water. The question is unanswerable without a huge philosophical debate on the nature of wine, hopefully during which we consume a great deal of it. |
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machinoman
Joined: 12 Feb 2010
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Posted: Mon Apr 11, 2011 6:13 pm Post subject: |
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since the jugs are 1 L but there is "room to stir" and "no wasted liquid" let us assume there is one tablespoon of liquid in each jug.
jug 1: 1wi ||| jug 2: 1wa
take one tablespoon from jug 1, put it in jug 2
nothing ||| 2((1/2)wa (1/2)wi)
now take one tablespoon from jug 2, put it in jug 1
(1/2)wa + (1/2)wi ||| (1/2)wa + (1/2) wi
hence there is the same amount of water in the wine jug as wine in the water jug
tadaaaaaaaa *shakes hands in the air like he just performed a backflip*
Last edited by machinoman on Mon Apr 11, 2011 6:39 pm; edited 1 time in total |
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Hugo85
Joined: 27 Aug 2010
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Posted: Mon Apr 11, 2011 6:29 pm Post subject: |
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| Who is organizing the swap? If it's Jesus then it might be a trap. |
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silkhighway
Joined: 24 Oct 2010 Location: Canada
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Posted: Mon Apr 11, 2011 6:39 pm Post subject: |
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I guess I failed on this one..maybe I didn't explain it right. Yes, it's true that there is an exact equal amount of wine in the water jug as there is water in the wine jug, but most people when you tell this problem including people who are good at math (perhaps especially!) automatically assume that there is more wine in the water jug than vice versa until they grind through the algebra.
This brings me to my next point. Machinoman, you got the right answer but your algebra is wrong, you made two assumptions you can't make. One's not a big deal, but the other one is. |
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silkhighway
Joined: 24 Oct 2010 Location: Canada
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Posted: Mon Apr 11, 2011 6:42 pm Post subject: |
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| Underwaterbob wrote: |
| I think the question becomes: where do we draw the line between water and wine? A significant part of wine is water. The question is unanswerable without a huge philosophical debate on the nature of wine, hopefully during which we consume a great deal of it. |
Think water ORIGINALLY in the water jug or wine ORIGINALLY in the wine jug, or choose oil and water if you don't like that. Jeez guys, work with me here!!  |
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