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Current time: 18th January 2017, 16:06

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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]

Anomalocaris 
Belief .. is the insistence that the truth is what one would .. wish it to be. The believer will open his mind to the truth on the condition that it fits in with his preconceived ideas and wishes. 


Faith, on the other hand, is an unreserved opening of the mind to the truth, whatever it may turn out to be.  


- Alan Watts, The Wisdom of Insecurity
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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' ??
If any email controversy impacted the election, it wasn't Russian hacking of the DNC and  John Podesta's email, it was Hillary Clinton's decision to have her own email server and the subsequent FBI investigation which raised all the same  questions  Hillary Clinton has justifiably faced for decades about her trustworthiness and honesty.


















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#3
RE: Can you cut a cake fairly to solve this middle school math problem?
Tongue
If any email controversy impacted the election, it wasn't Russian hacking of the DNC and  John Podesta's email, it was Hillary Clinton's decision to have her own email server and the subsequent FBI investigation which raised all the same  questions  Hillary Clinton has justifiably faced for decades about her trustworthiness and honesty.


















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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.
Belief .. is the insistence that the truth is what one would .. wish it to be. The believer will open his mind to the truth on the condition that it fits in with his preconceived ideas and wishes. 


Faith, on the other hand, is an unreserved opening of the mind to the truth, whatever it may turn out to be.  


- Alan Watts, The Wisdom of Insecurity
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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]
If any email controversy impacted the election, it wasn't Russian hacking of the DNC and  John Podesta's email, it was Hillary Clinton's decision to have her own email server and the subsequent FBI investigation which raised all the same  questions  Hillary Clinton has justifiably faced for decades about her trustworthiness and honesty.


















Reply
#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!
Belief .. is the insistence that the truth is what one would .. wish it to be. The believer will open his mind to the truth on the condition that it fits in with his preconceived ideas and wishes. 


Faith, on the other hand, is an unreserved opening of the mind to the truth, whatever it may turn out to be.  


- Alan Watts, The Wisdom of Insecurity
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.
Belief .. is the insistence that the truth is what one would .. wish it to be. The believer will open his mind to the truth on the condition that it fits in with his preconceived ideas and wishes. 


Faith, on the other hand, is an unreserved opening of the mind to the truth, whatever it may turn out to be.  


- Alan Watts, The Wisdom of Insecurity
Reply
#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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