High School

Explain how, in the fewest possible number of moves, you would measure out exactly 1 gallon of water.

Note that if you dump out a jug, you must dump it out completely. It is illegal to fill up the 12-gallon jug and then dump it into both the 3-gallon jug and the 8-gallon jug to leave behind 1 gallon in the 12-gallon jug.

Answer :

To measure out exactly 1 gallon of water we need exactly six possible number of moves.

To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps

Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.

Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.

Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.

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