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Current time: 19th November 2017, 00:42

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Can you cut a cake fairly to solve this middle school math problem?
#1
Can you cut a cake fairly to solve this middle school math problem?
When Poca, Alex, Rob and Whatshisname came for a visit, Losty baked a cake.  It was a square cake which she frosted on the sides and on top with yummy cream cheese frosting.  "I want a big piece of cake" said Poca.  "Just make sure my piece has a maximally quantum-big portion of frosting" said Alex.  "Be fair!" exclaimed Rob.  "Whatever" said Whatshisname.

How can Losty cut the cake so as to give all five of them the largest piece possible with each containing an equal share of both cake and frosting?  Oh, and to keep it interesting, lets do it with the fewest possible straight cuts with a knife (so no, you can't dump it all in a blender and measure out equal shares of sludge).  Surprisingly (hint, hint) the dimensions of the cake are irrelevant but if you really, really want to know, the size of the actual cake is given below.





*Edited to clear up the fact that the entire cake is to be used up making these five equal servings.  Thank you: [Image: avatar_1310.jpg?dateline=1290499412]

 
Khem Wrote:If all you have is mere god meaning, then you don't have any super ultra mega ultimate meaning, so it's all meaningless. Cutting to the chase, the claim that apart from god there is no meaning is as ridiculous as claiming that unless you had Coke Zero you didn't have a soda.
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#2
RE: Can you cut a cake fairly to solve this middle school math problem?
Why can't Losty make 5 cakes ??


She lazy or sumthin' ??
Heptaclavianism:
the belief that seven nails were used to crucify Jesus Christ; three on Maundy Thursday, and four on Good Friday


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#3
RE: Can you cut a cake fairly to solve this middle school math problem?
Tongue
Heptaclavianism:
the belief that seven nails were used to crucify Jesus Christ; three on Maundy Thursday, and four on Good Friday


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#4
RE: Can you cut a cake fairly to solve this middle school math problem?
(14th August 2016, 08:40)vorlon13 Wrote: Why can't Losty make 5 cakes ??


She lazy or sumthin' ??

To be fair, she is still in there making our sammiches.  So I'm cutting her a little slack.
Khem Wrote:If all you have is mere god meaning, then you don't have any super ultra mega ultimate meaning, so it's all meaningless. Cutting to the chase, the claim that apart from god there is no meaning is as ridiculous as claiming that unless you had Coke Zero you didn't have a soda.
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#5
RE: Can you cut a cake fairly to solve this middle school math problem?
Is there a requirement that all of the cake has to make it into the 5 portions?
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#6
RE: Can you cut a cake fairly to solve this middle school math problem?
BTW, Losty isn't really dressed for kitchen success either . . . .

[Image: 1e56089891bc8259f63be319f118dd97.jpg]
Heptaclavianism:
the belief that seven nails were used to crucify Jesus Christ; three on Maundy Thursday, and four on Good Friday


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#7
RE: Can you cut a cake fairly to solve this middle school math problem?
(14th August 2016, 08:48)Anomalocaris Wrote: Is there a requirement that all of the cake has to make it into the 5 portions?

Yes indeed!  Thanks for clearing that up!
Khem Wrote:If all you have is mere god meaning, then you don't have any super ultra mega ultimate meaning, so it's all meaningless. Cutting to the chase, the claim that apart from god there is no meaning is as ridiculous as claiming that unless you had Coke Zero you didn't have a soda.
Reply
#8
RE: Can you cut a cake fairly to solve this middle school math problem?
True story.: My stepson introduced me to this problem when his teacher gave it to them at the start of class. She'd just come back from a conference where she'd worked on it for a while without finishing it. He saw the answer right away and told it to her after class. Her reaction was it couldn't be that simple but then she realized he was right.
Khem Wrote:If all you have is mere god meaning, then you don't have any super ultra mega ultimate meaning, so it's all meaningless. Cutting to the chase, the claim that apart from god there is no meaning is as ridiculous as claiming that unless you had Coke Zero you didn't have a soda.
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#9
RE: Can you cut a cake fairly to solve this middle school math problem?
[Image: MJrKoRvS.jpg]
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#10
RE: Can you cut a cake fairly to solve this middle school math problem?
Does it involve shaving off frosting and portioning the cake and frosting separately?
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