← | 063 - Son's Slipup | 064 - Cutting the Cake | 065 - Rubble Trouble | → |
Cutting the Cake is a puzzle in Professor Layton and the Last Specter.
Puzzle
- US Version
"I suppose I could share this triangular cake. It's really tasty, but I can spare half of it, and my friends can divide that between them.
Then again, it is my cake. It's only fair that I should have most of it...
I'll just cut two pieces with a ratio of 4:5 and take the bigger piece. That's still pretty generous, isn't it?"
The sides of the cake are 15 in. long. How far along the side should he cut?
- UK Version
"I suppose I could share this triangular cake. It's really tasty, but I can spare half of it, and my friends can divide that between them.
Ngh, but it is my cake. It's only fair that I should have most of it...
I'll just cut two pieces with a ratio of 4:5 and take the bigger piece. That's still pretty generous, isn't it?"
The sides of the cake are 15 cm long. How far along the side should he cut?
Hints
Solution
Incorrect
- US Version
Too bad!
Keep in mind that the cake is in the shape of an equilateral triangle.
- UK Version
Crumbs!
You shouldn't have to think too hard. Just remember that the cake is an equilateral triangle.
Correct
Correct!
- US Version
"I can have my cake and eat it, too!
If I cut the side at 10 in. as shown, the proportion of the portions is exactly 4:5.
I can eat lots of cake and share with my friends, too!"
- UK Version
"I can have my cake and eat it!
If I cut the side at 10 cm as shown, the proportion of the portions is exactly 4:5.
I can eat lots of cake and share with my friends, too!"
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