Mental Nuts-- Can You Crack 'em? - Page 12

BigV · 12-27-2011, 08:05 PM

pour three gallons from 8gal cask into 3gal jug leaving five gallons in the 8gal cask

now pour three gallons from the 3gal jug into the 5gal carboy

now pour three gallons from the 8gal cask into the 3gal jug leaving 2 gallons in the 8

shit

three columns, representing three vessels, 8gal cask, 5gal carboy, 3gal jug
each row will always add up to 8 gallons, and the changes, the pours should be obvious.

8--5--3
--------
8--0--0 (pour 3 from cask to jug, filling jug, to get to the next line)
5--0--3 (pour 3 from jug to carboy, emptying jug, to get to the next line)
5--3--0 (pour 3 from cask to jug, filling jug, to get to the next line)
2--3--3 (pour 2 from jug to carboy, filling carboy, leaving 1 in jug, to get to the next line)
2--5--1 (pour 5 from carboy to cask, emptying carboy, to get to the next line)
7--0--1 (pour 1 from jug to carboy, emptying jug, to get to the next line)
7--1--0 (pour 3 from cask to jug, filling jug, to get to the next line)
4--1--3 (pour 3 from jug to carboy, emptying jug, to get to the next line)
4--4--0 (ta-da!)

footfootfoot · 12-28-2011, 12:19 PM

Fill the 5 from the 8 (3/8) (5/5) (0/3)
Fill the 3 from the five (3/8) (2/5) (3/3)
Pour 3 into 8 (6/8) (2/5) (0/3)
Pour (2/5) into 3 (6/8) (0/5) (2/3)
Pour 5/8 into 5 (1/8) (5/5) (2/3)
Pour 1/5 into 3 (1/8) 4/5) (3/3)
Pour 3/3 into 1/8 (4/8) 4/5) (0/3)

BigV · 12-28-2011, 12:29 PM

Score, please?

infinite monkey · 12-28-2011, 12:30 PM

36-35 O.T.

BigV · 12-28-2011, 12:34 PM

*thnort*

Clodfobble · 12-29-2011, 08:58 AM

Quote:

Originally Posted by footfootfoot

Borrow or rent a sheep

That's not an answer. This book sucks, foot.

footfootfoot · 12-29-2011, 09:03 AM

Here's one for you, Clod

footfootfoot · 12-29-2011, 09:12 AM

this requires some knowledge of horses and their shoes.

BigV · 12-29-2011, 10:35 AM

Quote:

Originally Posted by footfootfoot

Mental Nuts-- Can You Crack 'em?

--snip--

I will put up a new mental nut every day only if the previous nut is cracked exactly how it is printed in the answer key in the back of this little gem or you all cry Uncle. --snip

FTFY

Quote:

Originally Posted by BigV

I see how the math works out when you add one sheep --snip-- This better not be the answer, adding one...
--snip

Quote:

Originally Posted by Clodfobble

That's not an answer. This book sucks, foot.

Quote:

Originally Posted by footfootfoot

Here's one for you, Clod

Hiya Clod! Plenty of room in my bitter barn, pull up a stump. Or a stack of numismatic catalogs, or a partially filled wine jug of either 8, 5, or 3 gallon capacity. Mind the pile of pebbles there, we'll be needing them later to drown our sorrows.

HungLikeJesus · 12-29-2011, 09:15 AM

Is this a four-legged horse?

glatt · 12-29-2011, 09:21 AM

My google image search showed that most horse shoes take 6 nails. So Imma say $3 for the 24 nails needed.

HungLikeJesus · 12-29-2011, 09:45 AM

Thanks glatt. I'll say the total cost is 2^(n-1), where n = 6*4, for a total cost of $83,886.08

footfootfoot · 12-29-2011, 10:03 AM

Close, 8 nails is more common, re-figure.

HungLikeJesus · 12-29-2011, 10:17 AM

Ok, revised to: total cost is 2^(n-1), where n = 8*4, for a total cost of $21,474,836.48

glatt · 12-29-2011, 10:19 AM

"four for the third"

I missed that part. It's exponential, and my answer is way off the mark. It's not in the same ball park, and not even in the same city. $3, hah!

12-27-2011, 08:05 PM	#1
BigV Goon Squad Leader Join Date: Nov 2004 Location: Seattle Posts: 27,063	pour three gallons from 8gal cask into 3gal jug leaving five gallons in the 8gal cask now pour three gallons from the 3gal jug into the 5gal carboy now pour three gallons from the 8gal cask into the 3gal jug leaving 2 gallons in the 8 shit three columns, representing three vessels, 8gal cask, 5gal carboy, 3gal jug each row will always add up to 8 gallons, and the changes, the pours should be obvious. 8--5--3 -------- 8--0--0 (pour 3 from cask to jug, filling jug, to get to the next line) 5--0--3 (pour 3 from jug to carboy, emptying jug, to get to the next line) 5--3--0 (pour 3 from cask to jug, filling jug, to get to the next line) 2--3--3 (pour 2 from jug to carboy, filling carboy, leaving 1 in jug, to get to the next line) 2--5--1 (pour 5 from carboy to cask, emptying carboy, to get to the next line) 7--0--1 (pour 1 from jug to carboy, emptying jug, to get to the next line) 7--1--0 (pour 3 from cask to jug, filling jug, to get to the next line) 4--1--3 (pour 3 from jug to carboy, emptying jug, to get to the next line) 4--4--0 (ta-da!) __________________ Be Just and Fear Not. Last edited by BigV; 12-27-2011 at 08:32 PM. Reason: chartmaking

12-28-2011, 12:19 PM	#2
footfootfoot To shreds, you say? Join Date: Aug 2004 Location: in the house and on the street-how many, many feet we meet! Posts: 18,449	Fill the 5 from the 8 (3/8) (5/5) (0/3) Fill the 3 from the five (3/8) (2/5) (3/3) Pour 3 into 8 (6/8) (2/5) (0/3) Pour (2/5) into 3 (6/8) (0/5) (2/3) Pour 5/8 into 5 (1/8) (5/5) (2/3) Pour 1/5 into 3 (1/8) 4/5) (3/3) Pour 3/3 into 1/8 (4/8) 4/5) (0/3) __________________ The internet is a hateful stew of vomit you can never take completely seriously. - Her Fobs

12-28-2011, 12:29 PM	#3
BigV Goon Squad Leader Join Date: Nov 2004 Location: Seattle Posts: 27,063	Score, please? __________________ Be Just and Fear Not.

12-28-2011, 12:34 PM	#5
BigV Goon Squad Leader Join Date: Nov 2004 Location: Seattle Posts: 27,063	thnort __________________ Be Just and Fear Not.

12-29-2011, 09:03 AM	#7
footfootfoot To shreds, you say? Join Date: Aug 2004 Location: in the house and on the street-how many, many feet we meet! Posts: 18,449	Here's one for you, Clod Attached Images __________________ The internet is a hateful stew of vomit you can never take completely seriously. - Her Fobs

12-28-2011, 12:30 PM	#4
infinite monkey Person who doesn't update the user title Join Date: Mar 2011 Posts: 13,002	36-35 O.T.

12-29-2011, 09:12 AM	#8
footfootfoot To shreds, you say? Join Date: Aug 2004 Location: in the house and on the street-how many, many feet we meet! Posts: 18,449	this requires some knowledge of horses and their shoes. Attached Images __________________ The internet is a hateful stew of vomit you can never take completely seriously. - Her Fobs

12-29-2011, 09:15 AM	#10
HungLikeJesus Only looks like a disaster tourist Join Date: Feb 2007 Location: above 7,000 feet Posts: 7,208	Is this a four-legged horse? __________________ Keep Your Bodies Off My Lawn SteveDallas's Random Thread Picker.

12-29-2011, 09:21 AM	#11
glatt ™ Join Date: Jul 2003 Location: Arlington, VA Posts: 27,717	My google image search showed that most horse shoes take 6 nails. So Imma say $3 for the 24 nails needed.

12-29-2011, 09:45 AM	#12
HungLikeJesus Only looks like a disaster tourist Join Date: Feb 2007 Location: above 7,000 feet Posts: 7,208	Thanks glatt. I'll say the total cost is 2^(n-1), where n = 6*4, for a total cost of $83,886.08 __________________ Keep Your Bodies Off My Lawn SteveDallas's Random Thread Picker.

12-29-2011, 10:03 AM	#13
footfootfoot To shreds, you say? Join Date: Aug 2004 Location: in the house and on the street-how many, many feet we meet! Posts: 18,449	Close, 8 nails is more common, re-figure. __________________ The internet is a hateful stew of vomit you can never take completely seriously. - Her Fobs

12-29-2011, 10:17 AM	#14
HungLikeJesus Only looks like a disaster tourist Join Date: Feb 2007 Location: above 7,000 feet Posts: 7,208	Ok, revised to: total cost is 2^(n-1), where n = 8*4, for a total cost of $21,474,836.48 __________________ Keep Your Bodies Off My Lawn SteveDallas's Random Thread Picker.

12-29-2011, 10:19 AM	#15
glatt ™ Join Date: Jul 2003 Location: Arlington, VA Posts: 27,717	"four for the third" I missed that part. It's exponential, and my answer is way off the mark. It's not in the same ball park, and not even in the same city. $3, hah!

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