Fill 7L and pour into 6L
there will be 1L left over in 7L
pour 1L into 6L and refill 7L
pour 7L into 6L and what is remaining in 7L is 2L
repeat for all 5L.
This works with two odd numbered jars but I don't think it works with both even to get an odd
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Here's a step-by-step solution: Fill up the 5-liter jar completely with water. Pour the water from the 5-liter jar into the 3-liter jar until the 3-liter jar is full. Now, you are left with 2 liters of water in the 5-liter jar. Empty the 3-liter jar. Pour the 2 liters of water from the 5-liter jar into the 3-liter jar. Fill up the 5-liter jar again. Pour enough water from the 5-liter jar into the 3-liter jar to fill it completely (this will take 1 liter). Now, you are left with 4 liters of water in the 5-liter jar, which gives you the required 8 liters of water.
Fill up 8 liter bucket and 5 liter bucket. Pour 3 liter out from the 5. Pour 6 liter from the 8. Add the remains from the 5l back to the remains in the 8 liter and you have 4 liters.
7, 5 Liter jars 7, 0 = fill 7 liters jar 2, 5 = transfer to the 5 liters jar 2, 0 = emtry the 5 liters jar 0, 2 = transfter to 5 liters jar 7, 2 = fill in the 7 liter jar 4, 5 = transfer 7 liter to 5 liter jar 4, 0 = emtry to 5 liters jar 0, 4 = transfer to 5 liters jar 7, 4 = fill in 7 liter jar 6, 5 = transfer 7 liter to 5 liter jar Fill the 7 liter jar and tip into the 5liter jar. you now have 2 litres in the 7 liter jar, empty the 7 liter and tip the 2 liters into the 5liter jar. Fill the 7liter and tip into 5 liter, you now have 4 liters in the 7 liter jar, empty the 5 liter jar and put 4liters from 7 liter jar into it. Again fill the 7 liter jar, 1 more liter will fill the 5 liter jar so empty the 7 liter into the 5 liter, 6liters left in the 7 liter jar;-)
This works with two odd numbered jars but I don't think it works with both even to get an odd
Add 5 liters to the 7 liter bottle. Add 5 more to the 7 liter bottle; now you have 3 liters. Dump out the water from the 7 liter bottle. Then add the 3 liters to the 7 liter bottle. Fill the 5 liter bottle again and dump it into the 7 liter bottle. Dump out the water in the 7l bottle and add 1 liter to the 7 liter bottle. Add 5 liters to the 7 liter bottle and there you have it.
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Here's a step-by-step solution: Fill up the 5-liter jar completely with water. Pour the water from the 5-liter jar into the 3-liter jar until the 3-liter jar is full. Now, you are left with 2 liters of water in the 5-liter jar. Empty the 3-liter jar. Pour the 2 liters of water from the 5-liter jar into the 3-liter jar. Fill up the 5-liter jar again. Pour enough water from the 5-liter jar into the 3-liter jar to fill it completely (this will take 1 liter). Now, you are left with 4 liters of water in the 5-liter jar, which gives you the required 8 liters of water.
Empty the 5-liter jar and remove 1 liter of the 7-liter jar.
1)Transfer 7 liters from the 12-liter jar into the 7-liter jar.We now have 5 liters in the 12-liter jar and 7 liters in the 7-liter jar. The 5-liter jar is empty, as of now.2)Transfer 5 liters from the 7-liter jar into the 5-liter jar.The 12-liter, 7-liter, 5-liter jars now contain 5, 2 and 5 liters respectively.3)Empty the contents of the 5-liter jar into the 12-liter jar.The 12, 7, 5- liter jars now contain 10, 2 and 0 liters respectively.4)From the 7-liter jar, take out 5 liters and pour 7 liters from the 12-liter jar into the 7-liter jar.We now have 3 liters in the 12-liter jar and 7 in the 7-liter one, while the 5-liter jar has only two liters in it.5)Fill up the remainder of the 5-liter jar using the 7-liter jar.That leaves us with 3 liters on the 12-liter jar and 4 liters in the 7-liter jar. The 5-liter jar is full.6)Pour the contents of the 5-liter jar into the 12-liter jar.There are 8 liters in the 12-liter jar and 4 liters in the 7-liter jar, while the 5-liter jar is empty.7)Pour the 4 liters that are in the 7-liter jar into the 5-liter jar.We now have 8 liters in the 12-liter jar and 4 liters in the 5-liter jar. The 7-liter jar is empty.8)Fill the 7-liter jar using the 12-liter jar.There is now only 1 liter in the 12-liter jar and 7 liters in the 7-liter jar and 4 liters in the 5-liter jar.9)Fill up the 5-liter jar using the 7-liter jar.There is now 1 liter in the 12-liter jar and 6 liters in the 7-liter jar and 5 in the 5-liter jar.NOTE: This might not be the only way, or the shortest way to do it.
Fill up 8 liter bucket and 5 liter bucket. Pour 3 liter out from the 5. Pour 6 liter from the 8. Add the remains from the 5l back to the remains in the 8 liter and you have 4 liters.
* Fill 4 liter jug. * Empty the 4 liter jug into the 5 liter jug. * Again fill 4 liter jug. * Fill up the 5 liter jug with the 4 liter jug. * There are now 3 liters in the 4 liter jug.
The sequence shows the amount of water in each jar for each step: (1) 7-13-0; (2) 19-1-0; (3) 12-1-7; (4) 12-8-0; (5) 5-8-7; (6) 5-13-2; (7) 18-0-2; (8) 18-2-0; (9) 11-2-7; (10) 11-9-0; (11) 4-9-7; (12) 4-13-3; (13) 17-0-3; (14) 17-3-0; (15) 10-3-7; (16) 10-10-0.
There are many sizes of canning jars in metric and imperial measures. Standard imperial jars come in half pint, pint, and quart, and gallon sizes, and can be small mouth or wide mouth. Standard metric jars range from .20 to 5 liter sizes.
This method works with any such problem, as long as the two buckets' liter-capacities (or gallon capacities, etc.) have no common factors, or else the common factors are also factors of the amount you're trying to measure. Fill the 7-liter bucket, and empty 5 liters of it into the 5-liter bucket; then dump out the 5 liters. Two liters will remain in the 7-liter bucket; transfer them to the 5-liter bucket. Fill the 7-liter bucket again, and empty enough of the bucket into the 5-liter bucket to fill it. That should only be 3 liters transfered, leaving 4 liters left in the 7-liter bucket. QED.
7, 5 Liter jars 7, 0 = fill 7 liters jar 2, 5 = transfer to the 5 liters jar 2, 0 = emtry the 5 liters jar 0, 2 = transfter to 5 liters jar 7, 2 = fill in the 7 liter jar 4, 5 = transfer 7 liter to 5 liter jar 4, 0 = emtry to 5 liters jar 0, 4 = transfer to 5 liters jar 7, 4 = fill in 7 liter jar 6, 5 = transfer 7 liter to 5 liter jar Fill the 7 liter jar and tip into the 5liter jar. you now have 2 litres in the 7 liter jar, empty the 7 liter and tip the 2 liters into the 5liter jar. Fill the 7liter and tip into 5 liter, you now have 4 liters in the 7 liter jar, empty the 5 liter jar and put 4liters from 7 liter jar into it. Again fill the 7 liter jar, 1 more liter will fill the 5 liter jar so empty the 7 liter into the 5 liter, 6liters left in the 7 liter jar;-)