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Targa, Panamera Turbo
Join Date: Aug 2004
Location: Houston TX
Posts: 22,366
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Perplexing Math Question...
If you get a spoonful of milk from a cup of milk and put it into a cup of coffee, then you put a spoonful of the mixed coffee back to the milk cup, what would be the amount of milk in the coffee cup? And the amount of coffee in the milk cup?
a) There will be more coffee in the milk cup than milk in the coffee cup. b) There will be more milk in the coffee cup than coffee in the milk cup. c) The amount of coffee in the milk cup will be the same as the amount of milk in the coffee cup. (I found this on-line)
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Michael D. Holloway https://simple.m.wikipedia.org/wiki/Michael_D._Holloway https://5thorderindustry.com/ https://www.amazon.com/s?k=michael+d+holloway&crid=3AWD8RUVY3E2F&sprefix= michael+d+holloway%2Caps%2C136&ref=nb_sb_noss_1 Last edited by M.D. Holloway; 02-10-2017 at 03:04 PM.. |
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02-10-2017, 03:01 PM
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Targa, Panamera Turbo
Join Date: Aug 2004
Location: Houston TX
Posts: 22,366
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There is no tricky part in this question. The two cups are identical. The same spoon is used in both transfers. There is nothing funny to catch. It doesn't even matter whether you stir up the cups after each move or not. You can stir up thoroughly, stir up a little, or do nothing to stir up, after each move. You can heat the two cups up, cool them down, or heat one up and cool the other down. You can do these two moves once, twice, or until you get nauseated. They all come out the same answer!
(I found this on-line)
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Michael D. Holloway https://simple.m.wikipedia.org/wiki/Michael_D._Holloway https://5thorderindustry.com/ https://www.amazon.com/s?k=michael+d+holloway&crid=3AWD8RUVY3E2F&sprefix= michael+d+holloway%2Caps%2C136&ref=nb_sb_noss_1 |
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02-10-2017, 03:04 PM
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Targa, Panamera Turbo
Join Date: Aug 2004
Location: Houston TX
Posts: 22,366
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You can most likely find the answer on-line but try to think it through. I'll post the answer in a bit. At first it didn't seem to make sense but it actually does after some thinking.
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Michael D. Holloway https://simple.m.wikipedia.org/wiki/Michael_D._Holloway https://5thorderindustry.com/ https://www.amazon.com/s?k=michael+d+holloway&crid=3AWD8RUVY3E2F&sprefix= michael+d+holloway%2Caps%2C136&ref=nb_sb_noss_1 |
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02-10-2017, 03:07 PM
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FUSHIGI
Join Date: Feb 2006
Location: somewhere between here and there
Posts: 10,752
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If correctly answered as you indicated, the question isn't about coffee or milk as the choices indicate but rather it is about fluid volume and makes the excerise one of futility.
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02-10-2017, 03:19 PM
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Registered
Join Date: Jul 2006
Location: Honolulu, HI
Posts: 9,861
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I dunno, I drink my coffee black.
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The fun - '06 Carrera, '79 930, '06 S4 Avant, '16 i8 The mundane - '24 Tesla Model 3, '22 Tesla Model Y, '19 Tacoma |
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02-10-2017, 03:44 PM
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Registered
Join Date: Nov 2000
Location: AZ
Posts: 8,414
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The answer is: Keep your damn milk spoon out of my coffee.
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02-10-2017, 03:47 PM
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Registered
Join Date: Mar 2003
Posts: 10,336
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Quote:
BUT... it uses tricky grammer and silent-p-sychology and the workings of the human brain to make it not what it may seem to be at first glance. I'm a couple of beers in, and I'm too lazy to get up for a pad and paper... |
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02-10-2017, 03:51 PM
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Targa, Panamera Turbo
Join Date: Aug 2004
Location: Houston TX
Posts: 22,366
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look up 'entropy of mixing' ...
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Michael D. Holloway https://simple.m.wikipedia.org/wiki/Michael_D._Holloway https://5thorderindustry.com/ https://www.amazon.com/s?k=michael+d+holloway&crid=3AWD8RUVY3E2F&sprefix= michael+d+holloway%2Caps%2C136&ref=nb_sb_noss_1 |
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02-10-2017, 03:52 PM
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Registered
Join Date: Mar 2009
Posts: 2,127
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b.
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02-10-2017, 04:02 PM
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Registered
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It's B
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02-10-2017, 04:10 PM
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non-whiner
Join Date: Aug 2012
Location: Slightly right of center
Posts: 5,235
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B, pure milk went to coffee, diluted milk came back.
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"Too much is just enough." |
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02-10-2017, 04:32 PM
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Targa, Panamera Turbo
Join Date: Aug 2004
Location: Houston TX
Posts: 22,366
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SPOILER ALERT - AVERT EYES IF YOU DON'T WANT TO KNOW JUST YET...
The answer is c) The amount of coffee in the milk cup will be the same as the amount of milk in the coffee cup. Proof: The 2nd spoonful is not 100% coffee, as opposed to the 1st, which is 100% milk. The 2nd spoonful is (100% - X%) of coffee. The coffee that is moved to the milk cup is not enough to balance the milk that was moved to the coffee cup in the 1st spoonful. But, that means X% of milk is also moved back to the milk cup, which is the exact amount that is needed to balance the discrepancy and make them even. The 2 balance out to equal measures.
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Michael D. Holloway https://simple.m.wikipedia.org/wiki/Michael_D._Holloway https://5thorderindustry.com/ https://www.amazon.com/s?k=michael+d+holloway&crid=3AWD8RUVY3E2F&sprefix= michael+d+holloway%2Caps%2C136&ref=nb_sb_noss_1 |
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02-10-2017, 04:47 PM
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The Stick
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That's Dilutional.
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Richard aka "The Stick" 06 Cayenne S Titanium Edition |
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02-11-2017, 04:48 AM
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Cup 1 has 10 units of coffee
Cup 2 has 10 units of milk Remove 1 unit of milk from c2 and add it to c1 C1 has 11 units of mixture, each unit is 0.090909091 units of milk and 0.909090909 units coffee C2 has 9 units of milk Add I unit of c1 mixture to c2 C2 now has 9. 090909091 units milk and 0.909090909 units of coffee C1 has 0.090909091 units of milk and 9.909090909 units coffee
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02-11-2017, 05:19 AM
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the cups are quantum entangled... ask the LHC
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02-11-2017, 04:14 PM
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Non Compos Mentis
Join Date: May 2001
Location: Off the grid- Almost
Posts: 10,598
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We must also calculate thermal expansion and contraction.
What is the initial temperature of the coffee? What is the initial temperature of the milk? In degrees Celsius, to 0.000 significant figures, please..... |
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02-12-2017, 07:27 AM
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Banned
Join Date: Jul 2001
Location: los angeles, CA.
Posts: 41,257
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Quote:
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02-12-2017, 08:02 AM
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Registered
Join Date: Dec 2000
Location: Winter Haven, FL usa
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Oops- misread the question. This does confirm the answer is the same.
Let us say, just to keep the math easy- that one spoonful was 50%. The amount taken should not change the math. So you start off with 100 units of milk and 100 units of coffee. Take out 50% of the milk and add it to the coffee. You now have 50 units of milk, and 150 units of coffee/milk mixture. Now take out 50 units of the coffee/milk mixture. That is 1/3 of the new volume 16.67 units of milk (1/3 of the 50units of milk), and 33.33 units of coffee ( 1/3 of the 100 units of coffee). You are left with 100units of milk/coffee. 66.66 units of coffee and 33.33 units of milk. When you add the 50 units of coffee/milk mixture to the original 50 units of milk- You would have- 33.33 units of coffee and 66.67 units of milk. Gary Last edited by gchappel; 02-12-2017 at 11:35 AM.. |
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02-12-2017, 11:28 AM
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The Stick
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Aint gettin my unit anywhere near hot coffee! Milk? The kind and container(s) make a difference.
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Richard aka "The Stick" 06 Cayenne S Titanium Edition |
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02-12-2017, 12:18 PM
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Kessel run in 12 parsecs!
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Lets see, 1 aught+one naught=equals a aught not!
  b
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Getting old sucks, bring back the good old days, this new stuff is for the birds.. |
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02-13-2017, 08:38 AM
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1994 Porsche 928 GTS
Vintage Ride.
