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Can you cut a cake fairly to solve this middle school math problem?
#31
RE: Can you cut a cake fairly to solve this middle school math problem?
(August 14, 2016 at 11:55 am)Faith No More Wrote: Goddammit, Whateverist, this is one of those problems that I know has to be fairly simple to solve, but I'm sitting here racking my brain over it and loathing myself for not being able to figure it out.

My stepson stole my opportunity to enjoy what you're experiencing right now by telling me his solution before I had a chance to consider the problem.   Dodgy
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#32
RE: Can you cut a cake fairly to solve this middle school math problem?
(August 14, 2016 at 11:51 am)Bella Morte Wrote: [Image: Funny-Cake-Meme-I-Regret-Nothing-Nothing-Image.jpg]


You a funny girl!  Me like.
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#33
RE: Can you cut a cake fairly to solve this middle school math problem?
(August 14, 2016 at 11:49 am)popeyespappy Wrote:


Mathematically this is a easy and clear solution, but I rejected it because I missed the part about the cake being a square, and thought the original question indicated the dimension, and presumably the aspect ratio, of the cake didn't matter.  This implies the solution had to be elegant enough to not require careful measurements of the aspect ratio of the cake to come up with angles of the cuts.
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#34
RE: Can you cut a cake fairly to solve this middle school math problem?
(August 14, 2016 at 12:50 pm)Whateverist Wrote:
(August 14, 2016 at 11:49 am)popeyespappy Wrote:


Exactamundo.  But to elaborate


If that's what Losty has to do, none of you are getting equal portions of cake. Apologies Losty.
I don't have an anger problem, I have an idiot problem.
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#35
RE: Can you cut a cake fairly to solve this middle school math problem?
(August 14, 2016 at 8:49 am)vorlon13 Wrote: BTW, Losty isn't really dressed for kitchen success either . . . .

[Image: 1e56089891bc8259f63be319f118dd97.jpg]

I'm sure Losty doesn't need to dress at all for kitchen success. She got zeh kitchen skillz regardless of clothing or lack thereof.
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#36
RE: Can you cut a cake fairly to solve this middle school math problem?
(August 14, 2016 at 3:38 pm)Anomalocaris Wrote:
(August 14, 2016 at 11:49 am)popeyespappy Wrote:


Mathematically this is a easy and clear solution, but I rejected it because I missed the part about the cake being a square, and thought the original question indicated the dimension, and presumably the aspect ratio, of the cake didn't matter.  This implies the solution had to be elegant enough to not require careful measurements of the aspect ratio of the cake to come up with angles of the cuts.

Correct. This simple solution only works for a square (or round) cake like the one Whateverist listed as an example. I'm not even sure there is a solution that yields equal shares of surface area (icing) and volume (cake) for an oblong shape because if you solve for surface area the volume is unequal. If you solve for volume the surface area is unequal.
Save a life. Adopt a greyhound.
[Image: JUkLw58.gif]
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#37
RE: Can you cut a cake fairly to solve this middle school math problem?
(August 14, 2016 at 8:31 am)Whateverist Wrote: 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 

The definitive answer:

Urbs Antiqua Fuit Studiisque Asperrima Belli

Home
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#38
RE: Can you cut a cake fairly to solve this middle school math problem?
(August 14, 2016 at 8:40 am)vorlon13 Wrote: Why can't Losty make 5 cakes ??


She lazy or sumthin' ??

Wow I didn't even know about this thread and you're in here calling me lazy. Rood Tongue
(August 21, 2017 at 11:31 pm)KevinM1 Wrote: "I'm not a troll"
Religious Views: He gay

0/10

Hammy Wrote:and we also have a sheep on our bed underneath as well
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#39
RE: Can you cut a cake fairly to solve this middle school math problem?
Also...whatevs....you better get someone else to cut the cake I can't cut in a straight line!
(August 21, 2017 at 11:31 pm)KevinM1 Wrote: "I'm not a troll"
Religious Views: He gay

0/10

Hammy Wrote:and we also have a sheep on our bed underneath as well
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#40
RE: Can you cut a cake fairly to solve this middle school math problem?
(September 22, 2016 at 2:26 pm)Losty Wrote:
(August 14, 2016 at 8:40 am)vorlon13 Wrote: Why can't Losty make 5 cakes ??


She lazy or sumthin' ??

Wow I didn't even know about this thread and you're in here calling me lazy. Rood Tongue

Don't you have some baking to do? Get your ass back in the kitchen, woman.

<smacks Losty on backside>
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