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Apple Cider

Math brain teasers require computations to solve.


Puzzle ID:#153
Fun:*** (2.7)
Difficulty:** (1.77)
Submitted By:Karin***




A customer arrives at an apple cider farm with a five gallon container and asks the farmer to put four gallons of his finest cider into it. Unfortunately, the only measure the farmer has is a three gallon jug. Can you think of a way that the farmer can measure out exactly four gallons of cider using just these two containers?

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(user deleted)
Feb 02, 2001

I think there`s a answer that takes fewer steps.
Mar 01, 2001

Im not sure if its any faster, but you could fill the 5 gallon container and pour it into the 3 gallon container. There are now 2 gallons in the big container. Give this to the customer and repeat the process to get 4 gallons.
(user deleted)
Nov 07, 2001

this is not the only soloution.
you can fill the 5 gallon, then use it to fill the three. this gives you 2 gallons.
pour those two into the (emptied) 3 gallon jug. fill the 5 gallon jug then pour a single gallon out into the 3 gallon jug. this fills the 3 gallon jug leaving 4 gallons in the larger jug
Mar 27, 2002

Why do you get to pour back into the "storage bin"? The riddle says you only get to use two containers.
May 19, 2004

ah yes, also in Die Hard 4 with Bruce Willis and Samuel L Jackson
Jul 13, 2004

1) In reply to the comment of captbob61:
"Why do you get to pour back into the "storage bin"? The riddle says you only get to use two containers"
-- If you can't use the storage bin, you can't pour OUT of it either, and there's no answer to a trivial teaser.

2) The solution hinted at by dragon, proposed by jake, and repeated by PeterA, takes 6 steps, 2 less than the teaser-maker's solution.
May 18, 2005

Aug 24, 2005

I saw this in Die Hard 4
Nov 09, 2005

Same answer as Jake.
Nov 12, 2005

Very cool.
Nov 29, 2005

I heard this one before and knew the answer.
Nov 30, 2005

we have all seen die hard with a trilogy
Dec 14, 2005

i like these types of teasers.

Jan 04, 2006

There has to be a separate storage bin that wasn't counted as one of the "only" containers, or else the farmer would not have had more than his own three gallon bucket full of cider available and not been able to sell the guy four gallons. That sort of seems like a given. Peter A's method worked for me.
Mar 29, 2006

Apr 28, 2006

I used PeterAs method too...
May 04, 2006

But the farmer measured 1 gallon and put it into the 5gallon container. Why couldn't the farmer just do that 4 times? I think the farmer took a back road.
Jun 19, 2006

never watched the die hard movies. came up with solution. thank you.
Jun 25, 2006

I don't think the "Fill the 5 gallon, pour into 3 gallon, repeat" works, because where would you store the first 2 gallons? You can't keep it in the 5 gallon - how would you repeat? Same with the 3 gallon. And if you put it into the storage, it'd get mixed (duh). The farmer only has those 2 containers with him (and the storage tank), so there'd be no place to put it.
Jul 09, 2006

I think I'd just give the customer 1 gallon all the pouring.

Good teaser I didn't get it, lol.
Sep 08, 2006

Many people must remember this from the movie, because I have read this before, not always cider, but always a liquid. Classic.
Oct 04, 2006

This was exactly the level of puzzle that I had to struggle with and overcome. PeterA's way, no doubt.
Nov 07, 2006

Rrn0rrn - I first found this puzzle in the movie Die Hard with a Vengeance

I am still new to this site, but I submitted a correction with the alternate solution - but said to disregard if it was more being pedantic than anything, which it may have been :-\

But it was good to find another solution - great teaser
May 21, 2007

Great Job! Muchos Gracias!

Jan 08, 2011

0 3

3 0

3 3

5 1

0 1

1 0

1 3

4 0

I followed the path shown in the answer.
Aug 17, 2011

yo baby i did it ...

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