There is an old German saying which prescribes how to divide a cake between two people and ensure that both of them are satisfied. The translation is: “One divides, the other chooses”
Can you devise a procedure so that n persons can divide a cake between them and each one is satisfied that he has obtained a fair piece of the cake?
2007-03-06 09:06:38 · 9 answers · asked by ghc5417 3 in Home & Garden ➔ Decorating & Remodeling
No clue.
2007-03-06 09:09:16 · answer #1 · answered by Anonymous · 0⤊ 1⤋
Have the n-1 cut a piece for himself then have n-2 divide what is left then have n-3 choose from the 3 pieces, n-2 from the 2 pieces, and n-1 gets what is left. This should work no matter how many n's you have.
2007-03-06 09:22:38 · answer #2 · answered by sleetseeker 3 · 0⤊ 0⤋
Cut the cake twice by cutting straight through to the other side twice, thus it's cut in 4. The person cutting gets second choice. Regardless of the cut, there will be 2 equal pieces and 2 equal pieces left over. The mirror of each will match each other.
Sound like a plan?
2007-03-06 09:18:59 · answer #3 · answered by 6kidsANDalwaysFIXINGsomething 4 · 0⤊ 0⤋
Ask a third person to divide the cake and tell that person s/he will get a large reward if both pieces weigh exactly the same.
2007-03-06 09:13:10 · answer #4 · answered by Bored_at_work 5 · 0⤊ 0⤋
NO NO NO! HERE IS THE ANSWER. LET THE FIRST PERSON CUT THE CAKE IN HALF. THEN LET THE SECOND PERSON CUT THE CAKE INTO QUARTERS. THE SECOND PERSON THEN PICKS A QUARTER AND THE FIRST PICKS A QUARTER AND THEN BACK TO THE 1ST PERSON PICKS A QUARTER AND THEN THE 2ND.
2007-03-06 09:16:14 · answer #5 · answered by Jedi Master AJ 3 · 0⤊ 0⤋
when you make the cake, make 'n' layers ... and give each person one layer... divide it that way
2007-03-06 09:12:47 · answer #6 · answered by livinintheword † 6 · 0⤊ 0⤋
just do ur best!! cut it edge 2 edge each time (vertically, horizontally, diagonally) it should b even thru out that way
2007-03-06 09:19:29 · answer #7 · answered by blossom 3 · 0⤊ 0⤋
Mathematics. The use of pi and other measurments
2007-03-06 09:11:23 · answer #8 · answered by bel81gre 1 · 0⤊ 0⤋
make cupcakes, it's easier
2007-03-06 09:11:06 · answer #9 · answered by Campbell Gramma 5 · 0⤊ 0⤋