LS064 - Cutting the Cake

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Cutting the Cake
Puzzle Number 064
Puzzle Name Cutting the Cake
Picarats Given 25 Picarats
Type Button
Location Descending Path
Previous Puzzle LS063 - Son's Slipup
Next Puzzle LS065 - Rubble Trouble

This is the sixty-fourth puzzle in Professor Layton and the Last Specter. To access this puzzle, you must talk to Tweeds. In order to solve this puzzle, you must figure out how far along the side of the cake Tweeds should cut to attain a 4:5 ratio.


[edit] Hints

Hint One
    You don't need to perform complicated math calculations to solve the puzzle.

    You just need to remember that with this equilateral triangle, each side is the exact same length: 15 in.

Hint Two
    Is it possible to divide the cake into several smaller equilateral triangles?

    If you can figure out a way to do that, it should be easier to determine the correct proportions of the two final slices.

Hint Three
    To divide the cake into portions with a ratio of 4:5, you could cut the top section into four tiny pieces of the same size.

    Therefore, how long would the side of these tiny pieces be?

Super Hint
    Try dividing the cake into triangular pieces with 5 in. sides. You should end up with nine pieces of cake. Can you see where you need to cut the cake now?

[edit] Messages

[edit] When Failed

Too bad!

Keep in mind that the cake is in the shape of an equilateral triangle.

[edit] When Completed


"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!"

[edit] Solution

The cut should be made at 10 inches.

[edit] Progress

2445 Picarats and 258 Hint Coins.

Last edited by Squiggle today at 21:43
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