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-   -   Mental Nuts-- Can You Crack 'em? (http://cellar.org/showthread.php?t=26507)

footfootfoot 12-25-2011 05:49 PM

sold 49, 28, and 7 bushels @7/$1
1,2, and 3 bushels @1/$3

Nuts.

ZenGum 12-26-2011 04:14 AM

:eyebrow:

:right:

:headshake:

I liked Bigv's answer of zero better.

glatt 12-26-2011 08:11 AM

When I was a lad, I remember the older generation deriding what we were being taught as the "new math." Like math could somehow change from one generation to the next. But obviously it did.

Sundae 12-26-2011 12:43 PM

Quote:

Originally Posted by BigV (Post 782935)
The corn was worthless, and they're taking it to the town corn dump.

We might have a butter mountain. But every town has its own corn dump?!
Wow, you guys know how to live ;)

ZenGum 12-27-2011 06:26 AM

If the 2012 asteroid hits just right, we could get some awesome popcorn!

Clodfobble 12-27-2011 07:16 AM

Quote:

Originally Posted by footfootfoot
sold 49, 28, and 7 bushels @7/$1
1,2, and 3 bushels @1/$3

I have to assume that this answer involves some inherent cultural knowledge of the time, like bushels of corn are always sold either singly or in groups of 7. Because otherwise, it's just retarded.

footfootfoot 12-27-2011 08:05 AM

1 Attachment(s)
I think it is a bit of both. and now for the next nut:

(Chrome crashed when I was loading yesterday's nut, so here are two)

ZenGum 12-27-2011 08:26 AM

#17 started with 15 cents.

HungLikeJesus 12-27-2011 08:30 AM

That's what I get also.

HungLikeJesus 12-27-2011 08:32 AM

For #18, >> you have to rent a sheep to get twenty; the first guy gets 10, second 5, third 4, then return the rental sheep.

ZenGum 12-27-2011 08:43 AM

#18Get one of the sheep knocked up?


With the ram, ya pervert

Clodfobble 12-27-2011 11:54 AM

#18

1/2 plus 1/4 plus 1/5 does not equal 1, it equals .95. So 19 is the actual number he left them, not the number he started with. The total number he had was (.95)(x) = 19, so x=20.

BigV 12-27-2011 12:29 PM

Quote:

A man left nineteen sheep to three heirs. One to get one-half, one one-quarter, and one one-fifth. No sheep were to be killed, and all to be dealt fairly with.
I see how the math works out when you add one sheep to make the total twenty. But why just add one to do that, why not add eighty-one and distribute 50 and 25 and 20 then return 5? This better not be the answer, adding one...

Still, very creative friends I have here!

****

Quote:

A man left nineteen sheep to three heirs.
Ok, fine. This seems very straightforward. 19 sheep, heirs. Pretty unambiguous.


Quote:

One to get one-half, one one-quarter, and one one-fifth.
Here's the nut that needs cracking. Half of what? A quarter of what?, a fifth of what? As y'all have pointed out, this doesn't "add up". What's missing? Or what is to be left out? How can these work out... What about half of ... the weight? Regardless, those fractions will never add up to 1, the presumptive "whole". As long as we're talking about only one kind of thing (a group of 19 sheep for example) those pieces will leave some left over.

Nothing in this nut says that 1/2 and 1/4 and 1/5 is the complete list of what was "to get".

Nothing says that the "one" who gets is a different heir. I can imagine that the same "one gets" 1/2, and 1/4, and 1/5 (of the sheep??) so this heir gets 19 sheep. Still leaves 1/20th of 19 sheep unallocated. Grrrrrrr...

Maybe these "fractions" aren't talking about fractions of the flock of sheep. What about one heir getting half the sheep, another heir getting a quarter (a twenty five cent piece or a $2.50 coin, take your pick) and another gets a jug of shine (a fifth). ... ... What am I gonna do about the other "half of nineteen sheep" (ha fucking ha)??

Quote:

A man left nineteen sheep to three heirs. One to get one-half, one one-quarter, and one one-fifth. No sheep were to be killed, and all to be dealt fairly with.
still thinking...

footfootfoot 12-27-2011 07:33 PM

1 Attachment(s)
15 cents

Borrow or rent a sheep

Moving on, a very easy one!

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!)


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