A merchant has a beaker containing 24 ounces of a precious fluid. He also has empty 5-ounce, 11-
ounce, and 13-ounce beakers. How can he divide the fluid into three equal portions?
1
Expert's answer
2011-10-07T11:33:26-0400
Here is an algoritm 1) full 13-ounce beaker [table]
5-ounce
11-ounce
13-ounce
0
0
13
[/table] 2)from 13-ounce fill the 11-ounce beaker(at 13-oun. Wewill have 2 ounce of water) [table]
5-ounce
11-ounce
13-ounce
11
2
[/table] 3)empty 11-oun. And fill it from 13 oun. Wich has 2 ounce of w. [table]
5-ounce
11-ounce
13-ounce
2
[/table] 4)fill 13-oun. And pour water from it to 5-ouncebeaker [table]
5-ounce
11-ounce
13-ounce
5
2
13-5=8(!!!)
[/table] 5) Empty 5-ounce and fill it from 11-ounce [table]
5-ounce
11-ounce
13-ounce
2
0
8
[/table]6) Fill 11-ounce and add water to 5-ouncebeaker [table]
5-ounce
11-ounce
13-ounce
5
11-3=8
8
[/table]7) Return 5ounce to 24-ounce beaker and itwill have also 5+3=8 ounce of water
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