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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 11:40 am
As long as Losty used a square pan to bake her square cake and spread the frosting evenly there isn't a problem.
Y'all aren't accusing Losty of sloping the icing on unevenly, are you? I sure hope not because those kinds of accusations have consequences.
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 11:45 am
Seems like an easy problem just slice it from one end to the other in five pieces. I don't know if there's supposed to be some trick to this, but I'm too lazy to read six pages to find out.
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 11:48 am
(August 6, 2017 at 11:45 am)Chad32 Wrote: Seems like an easy problem just slice it from one end to the other in five pieces. I don't know if there's supposed to be some trick to this, but I'm too lazy to read six pages to find out.
(August 6, 2017 at 10:58 am)popeyespappy Wrote: If you do it your way everyone is going to get the same amount of cake, but the 2 people on the ends are going to get a lot more icing than the 3 in the middle.
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 12:48 pm
(This post was last modified: August 6, 2017 at 12:50 pm by Chad32.)
Only if the icing is spread unevenly. Is that part of the problem? If she did spread it unevenly, and everyone's going to bicker about wanting exactly the same amount of cake and icing, then just spread it evenly then cut. Or tell people to not be petty.
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 2:25 pm
(August 6, 2017 at 12:48 pm)Chad32 Wrote: Only if the icing is spread unevenly. Is that part of the problem? If she did spread it unevenly, and everyone's going to bicker about wanting exactly the same amount of cake and icing, then just spread it evenly then cut. Or tell people to not be petty.
(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.
The OP specified icing on the top and on the 5 cm high sides of the cake. If you cut it the way you described everyone is going to get 80 2 cm of icing on the top of the cake, the pieces in the middle will get an additional 40 2 cm of icing on the sides, and the two pieces on the end are going to get an additional 140 2 cm of icing on the sides. That's 120 2 cm of icing total on the middle pieces and 220 2 cm of icing total on the end pieces.
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 2:29 pm
(August 6, 2017 at 9:49 am)Dropship Wrote: (August 14, 2016 at 11:49 am)popeyespappy Wrote:
Hey wait a minute, ain't it cheating to use a ruler to meaure precise distances?
And if a ruler is allowed, wouldn't it be far simpler to just make straight cuts right across the cake at 4cm intervals to get 5 rectangular slices or have I got my maths wrong?
You must be incredibly dense to be necroposting a thread that's had no comments for nearly 8 months.
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 2:34 pm
(August 6, 2017 at 12:48 pm)Chad32 Wrote: Only if the icing is spread unevenly. Is that part of the problem? If she did spread it unevenly, and everyone's going to bicker about wanting exactly the same amount of cake and icing, then just spread it evenly then cut. Or tell people to not be petty.
It is that attitude which makes pitching a math problem so hard.
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 2:35 pm
(This post was last modified: August 6, 2017 at 2:36 pm by Joods.)
How about I just give everyone icing-less cake and I keep the icing all to myself?
I do make a pretty badass icing, if I do say so myself. Many of my fellow students in school begged me to make their graduation cakes for them.
And therein lies the solution:
You scrape all of the icing off the cake first, then cut the cake into five equal portions. Then you take the icing and divide it into five equal portions and let everyone put their share of icing on their share of cake.
/thread.
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 2:41 pm
(August 6, 2017 at 11:40 am)popeyespappy Wrote: As long as Losty used a square pan to bake her square cake and spread the frosting evenly there isn't a problem.
Y'all aren't accusing Losty of sloping the icing on unevenly, are you? I sure hope not because those kinds of accusations have consequences.
I think Chthulthuluuu's point was that if we cut it into five equal rectangular strips lengthwise then besides the issue of the frosting on the end pieces, there would also be less cake on those two end pieces.
Assuming our cutting into five equally thick rectangular strips is based on the external dimensions of the cake as measured on the frosted cake, then the thickness of the frosting itself will be contributing to the thickness of the slice for the end pieces but not for the three middle pieces. So, however thick the frosting is applied, that is how much cake the end pieces are not getting. (Naturally -if I wasn't counting calories- I'd gladly trade that thin slice of cake for extra frosting.)
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RE: Can you cut a cake fairly to solve this middle school math problem?
August 6, 2017 at 2:43 pm
(August 6, 2017 at 2:29 pm)Nymphadora Wrote: (August 6, 2017 at 9:49 am)Dropship Wrote: Hey wait a minute, ain't it cheating to use a ruler to meaure precise distances?
And if a ruler is allowed, wouldn't it be far simpler to just make straight cuts right across the cake at 4cm intervals to get 5 rectangular slices or have I got my maths wrong?
You must be incredibly dense to be necroposting a thread that's had no comments for nearly 8 months.
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