40 replies to this topic

[DaveyandHolly]

700/403/430/133/142/502/520/223

done

[azdynamix]

7-0-0 is original set up
Pour 7 liter into 3 liter..... Leaving 4-0-3
Pour 3 liter to 4 liter.....leaves 4 liter, 3 liter, 0 liter
Pour 7 Liter to 3 liter....leaves 1 liter, 3 liter, 3liter
Pour 3 Liter to 4 liter....Leaves 1 liter, 4 liter, 2 liter
Pour 4 Liter to 7 Liter.....Leaves 5 liter, 0 liter, 2 liter
Pour 3 Liter to 4 liter.....Leaves 5 liter, 2 liter, 0 liter
Pour 7 Liter to 3 Liter.....Leaves 2 liter, 2 liter, 3 liter

7 moves

[wasanhm]

Pouring water III. - Back to the Water and Weighing Puzzles
Having three bowls: 7, 4 and 3 litres capacity. Only the 7-litre is full. Pouring the fewest times gain the quantity of 2, 2 and 3 litres.

Spoiler for Solution

Pouring Water III. - solution
Three numerals in each number stand for litres in each bowl:
700 - 340 - 313 - 610 - 601 - 241 - 223 (overspilling 6 times)

Place the 3 inside the 4. Pour outside the 3 leaving one liter inside the 4. Remove the 3 and pour the one liter from the 4 into the 3. Replace the 3 inside the 4 and again pour outside the 3 leaving one liter inside the 4. Remove the 3 and pour the contents of 3 into the 4. This will leave 2 liters in the four and 5 liters in the 7. Pour the 3 full from the 7 leaving you with two liters in the 7, two liters in the 4 and the 3 is full.

5 pours

[Krishan]

you can't do 133 without doing 430...
i did 700, 403, 430, 133, 142, 520, 223.

Your last 2 pours are wrong. You cannot get 520 directly from 142.
Capacity (<Actual water in bowl>)
142 = 7(1), 4(4), 3(2)
502 = 7(5), 4(0), 3(2)
520 = 7(5), 4(2), 3(0)

[Jarod997]

I too did this originally in seven steps, as previously stated:

700, 403, 430, 133, 142, 502, 520, 223

Didn't quite get the six. Interesting how these two solutions are quite a bit different from each other.

[firepumpguy]

Three Tanks: 7,000,000 gallon, 4,000,000 gallon & 3,000,000 gallon

Only the 7,000,000 gallon tank is full, the other tanks are empty. Not spending too much time or energy, distribute the water to be 2,000,000, 2,000,000 & 3,000,000 gallons per tank.

7 - 0 - 0
(-4, +4, +0)

3 - 4 - 0
(+0, -3, +3)

3 - 1 - 3
(+3, +0, -3)

6 - 1 - 0
(+0, -1, +1)

6 - 0 - 1
(-4, +4, +0)

2 - 4 - 1
(+0, -2, +2)

2 - 2 - 3

Whew! That was a lot of work! I only had a 5 gallon bucket.....

Edited by firepumpguy, 04 May 2008 - 12:05 AM.

[willthethrill]

guys the admin is wrong here is the solution in plain english

start, 7 0 0
pour #1, pour 7 into the 4
making, 3 4 0
pour #2, pour the 4 into 3
making, 3 1 3
pour #3, pour 3 back into 7
making, 6 1 0
pour #4, pour 4 into 3
making, 6 0 1
pour#5, pour 7 into 4
making, 2 4 1
pour#6, pour 4 into 3
making, 2 2 3

6 moves, I hope you can do simple math.

[willthethrill]

correction, the admin is right, I hope everyone can see the solution

guys the admin is wrong here is the solution in plain english

start, 7 0 0
pour #1, pour 7 into the 4
making, 3 4 0
pour #2, pour the 4 into 3
making, 3 1 3
pour #3, pour 3 back into 7
making, 6 1 0
pour #4, pour 4 into 3
making, 6 0 1
pour#5, pour 7 into 4
making, 2 4 1
pour#6, pour 4 into 3
making, 2 2 3

6 moves, I hope you can do simple math.

[day090]

may be i am dumb, but why cant you do it like this....

7-0-0
3-4-0
2-4-1
2-2-3

or

7-0-0
3-4-0
3-2-2
1-2-3


appreciate any input

[Martini]

may be i am dumb, but why cant you do it like this....

7-0-0
3-4-0
2-4-1
2-2-3

Because on your third step (2-4-1) you have poured exactly 1 litre into a bowl with a 3 litre capacity that was poured from a 7 litre capacity bowl with 3 litres in it. Estimating is not allowed.

or

7-0-0
3-4-0
3-2-2
1-2-3


appreciate any input

On the third step, you have poured 2 litres from a filled 4 litre bowl into a bowl with a 3 litre capacity. (You also mistakenly wrote 1-2-3 for the end result instead of 2-2-3.)