LS007 - Mopping Up

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Mopping Up
Puzzle Number 007
Puzzle Name Mopping Up
Picarats Given 45 Picarats
Type Input
Location Foyer
Previous Puzzle LS006 - The Mailbox Panels (US)
LS006 - Letter Box Plate (UK)
Next Puzzle LS008 - Mirror Ballroom

This is the seventh puzzle in Professor Layton and the Last Specter. To access this puzzle, you must examine the broom on the left. In order to solve this puzzle, you must figure out the minimum number of mops that must be used over 30 days.


[edit] Hints

Hint One
    Think about how many mops should be necessary for 30 days. Then see if there is any way you can reduce that number.

Hint Two
    Each mop has to dry for two days, so you will need three mops for the first three days. It will take nine days until these mops are broken. Try to apply this pattern to the whole month.

Hint Three
    If three mops are used over nine days, then nine mops are used to clean for 27 days.

    How many mops are needed for the remaining three days? Try to think about the smallest number needed.

Super Hint
    The key in thinking about how you divide up the remaining three days. If you leave it until the end of the month, you will need three mops, but what would happen if you spread these days out throughout the month?

[edit] Messages

[edit] When Failed

Too bad!

Try to be as economic with your mops as possible.

[edit] When Completed

You mopped this puzzle up!

You would need 10 mops. The trick is to use your fourth mop frugally! Three mops are used up every nine days. The fourth mop can be used once on the tenth day. Follow the same pattern for the next 10 days, using the fourth mop again once. By the 30th day, you will have used only 10 mops.

[edit] Solution

Ten mops are needed.

[edit] Progress

180 Picarats and 40 Hint Coins.

Last edited by Squiggle on 5 September 2015 at 04:18
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