Zacharias 馃悵 Voulgaris

Zacharias 馃悵 Voulgaris

16/11/2020 路 1 min read 路 ~10 路 3
To beBee in English and 4 more
The Birthday Cake Conundrum

The Birthday Cake Conundrum

Alex has a birthday party, and he's invited 8 of his friends to attend. Seven of them have accepted and showed up. They are about to cut the cake (markings on the cake's perimeter have already been made) when the 8th friend, who is also his best...

Zacharias 馃悵 Voulgaris

Zacharias 馃悵 Voulgaris

So, the solution I had in mind for the problem is the one that Lada came up with. An alternative solution that's equally valid consists of a 3-D approach to the problem. This involves cutting the cake into 8 equal pieces on the x-y plane and in 9 equal pieces on the z-axis (9 layers). Effectively, we get 8x9=72 small pieces, which we divide among the 9 cake-eaters, each getting 8 of them.

As for the gift that's most suitable for Alex, this would be a regular bike, since he's probably in the mid-school age group and although he would love a motorcycle, it wouldn't be responsible to give him one (also the bike with training wheels is something he wouldn't value much unless he traded it for additional cake!).

Note that the same problem lends itself to 25 persons sharing the cake, though in this case, the former solution would be more practical. Cheers

4d ago
Zacharias 馃悵 Voulgaris

Zacharias 馃悵 Voulgaris

By the way, the purpose of this problem is to hone one's problem-solving skills and, if so inclined, exercise one's creativity. I find such problems fun and educational, definitely more interesting than the stuff we have encountered at school. I hope you view it this way also :-)

19/11/2020
Ben Pinto

Ben Pinto

9/9/2016 路 8 min read 路 +200 路 11
To Mathematics and 13 more
Lada 馃彙 Prkic

Lada 馃彙 Prkic

9/9/2016 路 8 min read 路 1K
Geometry, All Around Us

Geometry, All Around Us

Geometry is all around us, and we are surrounded by myriads of geometric forms, shapes, and patterns. Every living organism and all non-living things have an element of geometry within. Understanding the natural world requires an understanding of...

Lada 馃彙 Prkic

Lada 馃彙 Prkic

Thank you, Debasish!

13/11/2020
Debasish Majumder

Debasish Majumder

absolutely fascinating buzz Lada 馃彙 Prkic! enjoyed read and shared. thank you for the buzz.

13/11/2020
Vincent Granville

Vincent Granville

17/9/2018 路 1 min read 路 ~10 路 1
To Mathematics and 3 more
Do Shortcuts Have a Place in Teaching Mathematics?

Do Shortcuts Have a Place in Teaching Mathematics?

Out of 71 countries, the United States ranked 38th place in student鈥檚 math scores. In the attempt to gain a higher place, forty-one states have adopted Common Core Standards when teaching mathematics in school.Utilizing Common Core in education...

Mitesh Patel

Mitesh Patel

28/7/2020 路 4 min read 路 ~10
Preparing Your Children For the New School Year With The COVID-19 Situation

Preparing Your Children For the New School Year With The COVID-19 Situation

The coming school year will be unlike any new school year that kids 鈥 or parents 鈥 have ever faced. Schools in Georgia will be reopening for the new year come fall, but counties are doing it their own way. In-person instruction, virtual...

Lada 馃彙 Prkic

Lada 馃彙 Prkic

2/7/2018 路 4 min read 路 ~10 路 6
To Mathematics and 10 more
Claire L Cardwell

Claire L Cardwell

28/6/2018 路 4 min read 路 ~10
To The Naked Architect and 10 more
Why Round Buildings are Better

Why Round Buildings are Better

I've been doing some research into Resilient Housing, right from the start I was convinced that a round house would be the way to go.聽 Our Ancestors often built round houses - take Igloos, Teepees, African Mud Brick Huts, Yurts and European...

Claire L Cardwell

Claire L Cardwell

Thanks - thanks for the inspiration - great ideas for more articles - round houses in Chinese Architecture, traditional Chinese Architecture and also Feng Shui...

13/11/2018

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13/11/2018

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