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## Apple Cider

Math brain teasers require computations to solve.

 Puzzle ID: #153 Fun: (2.72) Difficulty: (1.77) Category: Math 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?

First, fill up the three gallon jug. Pour the three gallons into the five gallon container. Refill the three gallon jug and once again pour it into the five gallon container until it is full. The three gallon jug now contains one gallon. Empty the five gallon container back into the storage tank and then pour the one gallon of cider into it. Now, fill the three gallon jug up again and pour it into the customer`s five gallon container. The container will now contain the desired four gallons.
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 (user deleted) Feb 02, 2001 I think there`s a answer that takes fewer steps. Jake 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 captbob61 Mar 27, 2002 Why do you get to pour back into the "storage bin"? The riddle says you only get to use two containers. bluetwo May 19, 2004 ah yes, also in Die Hard 4 with Bruce Willis and Samuel L Jackson canu 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. darthforman May 18, 2005 PENANDINK Aug 24, 2005 I saw this in Die Hard 4 nkatha23 Nov 09, 2005 Same answer as Jake. paintballa944 Nov 12, 2005 Very cool. hidentreasure Nov 29, 2005 I heard this one before and knew the answer. edward_collins Nov 30, 2005 we have all seen die hard with a trilogy stephiesd Dec 14, 2005 i like these types of teasers. YAY!!! mr_brainiac 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. jj_is_cool Mar 29, 2006 wattever tonjawithaj Apr 28, 2006 I used PeterAs method too... tca2 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. banzai Jun 19, 2006 never watched the die hard movies. came up with solution. thank you. Unraveled 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. kayleeskitties Jul 09, 2006 I think I'd just give the customer 1 gallon free.....save all the pouring. Good teaser I didn't get it, lol. rrn0rrnrrnY 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. foraneagle2 Oct 04, 2006 This was exactly the level of puzzle that I had to struggle with and overcome. PeterA's way, no doubt. Stormcrafter 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 Alex722 May 21, 2007 Great Job! Muchos Gracias! ♥Alex♥ Waka 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. SRB_1807 Aug 17, 2011 yo baby i did it ...