Measuring out 10 quarts

[DivineNathicana]

Three jars contain 19, 13, and 7 quarts, respectively. The first is empty, the others full. How can one measure out 10 quarts, using no other vessels?

You cannot approximate, i.e. you cannot fill the 19 quart jar halfway judging by sight. The solution must be an easy and organized one. All work must be shown.

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I got an answer, but one has to hold his finger to the jar in order to keep track of where the waterline was before he poured more water in it... Blah blah blah, basically, it's shaky. So I would greatly appreciate any help. Thanks guys!

- Alisa

[Fishteacher73]

19 13 7
19 13 0
19 6 7
19 6 0
19 0 6
18 0 7
18 7 0
12 13 0
12 6 7
5 13 7
18 0 7
18 0 0
5 13 0
0 13 5
0 11 7
7 11 0
7 4 7
14 4 0
11 13 0
11 6 7
11 6 0
11 0 6
10 0 7
10 0 0


Perhaps there may be a shorter way.....but here's one.....

[Tormod]

But doesn't it start out at 0 13 7?

[Fishteacher73]

Oops.... I guess I need to learn to read better.....

[DivineNathicana]

Yeah, it starts out with 0,13,7, so 20 quarts total. Blah I still can't get it without having to mark off water levels, and I'm not sure if that's allowed. = /

Thanks for the help, though.

- Alisa

[Turtle]

___I think I can do this. You must pour back & forth in a certain order.

[C1ay]

Originally Posted by DivineNathicana

Three jars contain 19, 13, and 7 quarts, respectively. The first is empty, the others full. How can one measure out 10 quarts, using no other vessels?

You cannot approximate, i.e. you cannot fill the 19 quart jar halfway judging by sight. The solution must be an easy and organized one. All work must be shown.

---------------------------------------------------------------------------------------------------------

I got an answer, but one has to hold his finger to the jar in order to keep track of where the waterline was before he poured more water in it... Blah blah blah, basically, it's shaky. So I would greatly appreciate any help. Thanks guys!

- Alisa

Here is one solution. Poor back and forth as follows:

0	13	7
13	0	7
13	7	0
6	7	7
6	13	1
19	0	1
19	1	0
12	1	7
12	8	0
5	8	7
5	13	2
18	0	2
18	2	0
11	2	7
11	9	0
4	9	7
4	13	3
17	0	3
17	3	0
10	3	7

[Turtle]

___Nice! Now I don't have to bother.

[DivineNathicana]

Thanks! I'll go try that out.

[Turtle]

___If you like counting problems, I refer you to a real world counting problem I set forth in the thread "Mathemagical Box". I have presented there sufficient information for you to arrive at a solution. A solution I have not bothered to find (yet). I entertain your solutions dear Reader.