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Fill the 4 gal bucket and empty it into the 7 gal bucket. Fill the 4 gal bucket and then fill the 7 gal bucket from the 4 gal. This leaves 1 Gallon in the 4 gallon bucket. Empty the 7 gallon bucket and pour the gallon from the 4 gal lbucket into it. Fill the 4 gal bucket and pour it into the 7 gal bucket. You then have 5 gallons in the 7 gallon bucket.
# Start with empty buckets, and carry them to the well. # (Note that the larger is the 7-gallon bucket, and the smaller is the 4-gallon bucket.) # Fill the 4-gallon bucket with water to the top. # Empty all the water from the 4-gallon bucket into the 7-gallon bucket. # (Note that there is room in the 7-gallon bucket for exactly 3 more gallons.) # Fill the 4-gallon bucket again. # Pour from the 4-gallon bucket into the 7-gallon bucket all the water that will fit, spilling none. # (Note that since there was room for only 3 more gallons in the 7-gallon bucket, you now have 1 gallon left in the 4-gallon bucket.) # Dump out all the water from the 7-gallon bucket. (Pour it back into the well or onto some flowers so it's not wasted.) # Pour the 1 gallon of water that remains in the 4-gallon bucket into the empty 7-gallon bucket. # Refill the 4-gallon bucket completely. # Pour all the 4 gallons from the 4-gallon bucket into the 7-gallon bucket. # (Note that since the 7-gallon bucket had 1 gallon already and you added 4 gallons, you now have 5 gallons of water in the 7-gallon bucket!) # Bring back your 7-gallon bucket that's holding exactly 5 gallons of water. (Bring your 4-gallon bucket back too, in case you want to play again!)
The notation below gives the amount of liquid (in gallons) in the 5 gallon bucket followed by the 7 gallon bucket.Fill 5G bucket (5, 0)Empty 5G into 7G (0, 5)Fill 5G again (5, 5)Pour as much as possible from 5G into 7G (3, 7)Empty 7G (3, 0)Pour from 5G to 7G (0, 3)Fill 5G again (5, 3)Pour as much as possible from 5G into 7G (1, 7)Done - you have 1 gallon in the 5G bucket.
Fill the 7lt bucket and use this to fill the 3lt bucket leaving 4 lts in the 7lt bucket. Empty the 3lt bucket and then 1/3rd fill again This will leave 2lts in the 7lt bucket.
To measure 4 liters of water using a 7-liter and a 5-liter bucket, you can follow these steps: Fill the 5-liter bucket to the top and pour it into the 7-liter bucket, leaving 2 liters in the 5-liter bucket. Empty the 7-liter bucket and pour the remaining 2 liters from the 5-liter bucket into the 7-liter bucket. Fill the 5-liter bucket again and pour it into the 7-liter bucket, which already has 2 liters, making it a total of 4 liters in the 7-liter bucket.