I'm posting one puzzle, riddle, math, or statistical problem a day. Try to answer each one and post your answers in the comments section. I'll post the answer the next day. Even if you have the same answer as someone else, feel free to put up your answer, too!
Saturday, September 03, 2005
Anyone thirsty?
How can you measure 1 gallon of juice out of a barrel, if all you have available is a 3-gallon and a 5-gallon pitcher?
Fill the 3 gallon pitcher and pour it into the 5 gallon pitcher. Now fill the 3 gallon pitcher again and fill the 5 gallon pitcher to capacity. What remains in the 3 gallon pitcher is one gallon of juice.
Fill up the 5 gallon pitcher. Pour 3 gallons into the 3 gallon pitcher so you have 2 remaining in the 5 gallon. Dump out the juice in the 3 gallon pitcher and pour the remaining 2 gallons from the 5 gallon pitcher into the 3 gallon pitcher. Fill up the 5 gallon pitcher. Pour 1 gallon from the 5 gallon pitcher into the 3 gallon pitcher to fill it completely. Dump out the juice from the 3 gallon pitcher. Pour 3 of the remaining 4 gallons in the 5 gallon pitcher into the 3 gallon pitcher. You now have 1 gallon in the 5 gallon pitcher.
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Fill the 3 gallon pitcher and pour it into the 5 gallon pitcher. Now fill the 3 gallon pitcher again and fill the 5 gallon pitcher to capacity. What remains in the 3 gallon pitcher is one gallon of juice.
ReplyDeleteAnd you will have really sticky hands from all that natural sugar. =p
ReplyDeleteFill up the 5 gallon pitcher. Pour 3 gallons into the 3 gallon pitcher so you have 2 remaining in the 5 gallon. Dump out the juice in the 3 gallon pitcher and pour the remaining 2 gallons from the 5 gallon pitcher into the 3 gallon pitcher. Fill up the 5 gallon pitcher. Pour 1 gallon from the 5 gallon pitcher into the 3 gallon pitcher to fill it completely. Dump out the juice from the 3 gallon pitcher. Pour 3 of the remaining 4 gallons in the 5 gallon pitcher into the 3 gallon pitcher. You now have 1 gallon in the 5 gallon pitcher.
ReplyDelete