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Pouring Water VII.


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Three Jars contain 19,13 abd 7 liters respectively. The first is empty and the others are full. None of the vessels is graduated. How can one measure out 10 liters, using no other vessels, by pouring fluid from one into another?

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Can I ask a question?

Regarding that 10 liters... does it only mean the content one container as 10 liters all in all or the total of the contents of the 3 containers?

Sorry... Just confuse...

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Assuming all jars only differ in height yet have the same diameter and circumference, pour the 7 liters into the 19-liter jar. Then steadily pour liquid from the 13-liter jar into the 19-liter jar until both are equal, putting 3 liters in with the 7 liters and leaving 10 all by its lonesome. Tedious, but effective.

Edited by Carissa
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easy, pour 19 into seven, dump out seven, pour remaining 19 back into seven, pour remaining 19 into 13, which equals 5. dump 7 refill 19. repeat same process. the two pours into 13 equal 10. i got this earlier but i could not find this problem, its my first day on the site. if you say there is only 20 ounces of liquid, then use 13 as a side container to hold as you transfer back and forth.

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FUN ONE!

Jar: A - B - C

Max. Capacity: 19 - 13 - 7

Starting Quantity: 0 - 13 -7

Arrive at 1 jar containing 10

Jar: C(-7) to A(+7)

New Quantity: 7 - 13 - 0

Jar: B(-12) to A(+12)

New Quantity: 19 - 1 - 0

Jar: DUMP JAR B(-1)

New Quantity: 19 - 0 - 0

...now total quantity = 19

Jar: A(-13) to B(+13)

New Quantity: 6 - 13 - 0

Jar: A(-6) to C(+6)

New Quantity: 0 - 13 - 6

Jar: B(-1) to C(+1)

New Quantity: 0 - 12 - 7

Jar: B(-12) to A(+12)

New Quantity: 12 - 0 - 7

Jar: C(-7) to B(+7)

New Quantity: 12 - 7 - 0

Jar: A(-7) to C(+7)

New Quantity: 5 - 7 - 7

Jar: C(-6) to B(+6)

New Quantity: 5 - 13 - 1

Jar: DUMP JAR C(-1)

New Quantity: 5 - 13 - 0

...now total quantity = 18

Jar: B(-7) to C(+7)

New Quantity: 5 - 6 - 7

Jar: B(-6) to A(+6)

New Quantity: 11 - 0 - 7

Jar: C(-7) to B(+7)

New Quantity: 11 - 7 - 0

Jar: A(-7) to C(+7)

New Quantity: 4 - 7 - 7

Jar: C(-6) to B(+6)

New Quantity: 4 - 13 - 1

Jar: DUMP JAR C(-1)

New Quantity: 4 - 13 - 0

...now total quantity = 17

Jar: B(-7) to C(+7)

New Quantity: 4 - 6 - 7

Jar: A(-4) to B(+4)

New Quantity: 0 - 10 - 7

...not accounting for drips...

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A=19

B=13

c=7

Fill A, then fill C using A.

then you have 12 In A.

Pour C out. Pour A into C again.

Now you have 5 litres in A, Pour that into B.

Fill A again, then fill C using A

empty C out and pour A into C again. Now you have another 5 litres. Pour that into B and BHAM you have 10 litres

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Have some of you guys READ the question correctly?

As I remember, you can't add or pour out any water.

Hmm...=/ my answer is basically what the OP and normdeplume got. Perhaps it is the shortest method after all.

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Three Jars contain 19,13 abd 7 liters respectively. The first is empty and the others are full. None of the vessels is graduated. How can one measure out 10 liters, using no other vessels, by pouring fluid from one into another?

Pour water into 1/2 of the 13 liter = 6.5 liters

Pour water into 1/2 of the 7 liter = 3.5 liters

Pour the contents of the 7 liter jar into the 13 liter Jar = 6.5+3.5=10 liters

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so it is

a 0-19

b 7-7

c 13-13

c-a a 13-19

b-a a 19-19 b 1-7

b-c c 1-13

a-b b 7-7 a 12-19

b-c c 7-13

a-c c 13-13 a 6-19

c-b b 7-7 c 6-13

b-a a 13-19

a-c c 13-13 a 7-19

a-b b 7-7

I tried but couldnet get it i ended up back where i started

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19/13/7 pour 13 into 19 13/0/7

pour 7 into 13 13/7/0

pour 19 into 7 6/7/7

pour 7 into 13 6/13/1

pour13 into 19 19/0/1

pour 7 into 13 19/1/0

pour 19 into 7 12/1/7

pour 7 into 13 12/8/0

pour 13 into 7 5/8/7

pour 7 into 13 5/13/2

pour 13 into 19 18/0/2

pour 7 into 13 18/2/0

pour 19 into 7 11/2/7

pour 7 into 13 11/9/0

pour 19 into 7 4/9/7

pour 7 into 13 4/13/3

pour 13 into 19 17/0/3

pour 7 into 13 17/3/0

pour 19 into 7 10/3/7 answer

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This is how I did it...

Start:

A 0/19

B 13/13

C 7/7

Everything into A leaves 1 behind

19/19

1/13

0/7

Fill C from A

12/19

1/13

7/7

Empty C into B

12/19

8/13

0/7

Fill C with A

5/19

8/13

7/7

Fill B with C

5/19

13/13

2/7

(2 Steps here) B into A and then C into B

18/19

2/13

0/7

Fill C from A

11/19

2/13

7/7

C into B

11/19

9/13

0/7

Fill C from A

4/19

9/13

7/7

Fill B from C

4/19

13/13

3/7

B into A

17/19

0/13

3/7

C into B

17/19

3/13

0/7

Fill C from A

10/19

3/13

7/7

Took 14 steps. Very good.

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That was actually 16 steps which is still very good. Using spoilers enables people to use their own imagination to figure out the puzzles themselves. The challenge is in figuring out the answer yourself. It really doesn't matter who found the answer first.

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I got 13 steps.

19 13 7

0-13-7 Starting

7-13-0

19-1-0

12-1-7

12-8-0

7-8-5

2-13-5

2-11-7

9-11-0

9-4-7

16-4-0

16-0-4

3-13-4

3-10-7

That was a good try, but on your 5th pour, you only poured 5 into the 7 container. You can't do that because you can't know for sure that it's 5 :)

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0/19 13/13 7/7

7/19 13/13 0/7

7/19 6/13 7/7

14/19 0/13 6/7

1/19 13/13 6/7

1/19 12/13 7/7

8/19 5/13 7/7

15/19 5/13 0/7

15/19 0/13 5/7

2/19 13/13 5/7

2/19 11/13 7/7

9/19 11/13 0/7

9/19 4/13 7/7

16/19 4/13 0/7

16/19 0/13 4/7

3/19 13/13 4/7

3/19 10/13 :P:lol: 7/7

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Three Jars contain 19,13 abd 7 liters respectively. The first is empty and the others are full. None of the vessels is graduated. How can one measure out 10 liters, using no other vessels, by pouring fluid from one into another?

What is the difference between this puzzle and this?

Isn't this duplicated?

I got it, this is the earlier version. Abotaweeela's one is repeated.

Edited by woon
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ok this is kinda wierd, but here i go

ok this is format

water in 19/water in 13/water in 7

0/13/7

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

and the 10 is in the 19 container

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Order : 19 13 7

0 13 7

13 0 7

19 0 1

Throw away the 1 remaining

19 0 0

12 0 7

12 7 0

5 7 7

5 13 1

Throw away the 1 remaining

5 13 0

5 6 7

11 0 7

11 7 0

4 7 7

4 13 1

Throw away the 1 remaining

4 13 0

17 0 0

10 0 7

There u go

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