DB119 - The Fake Coins

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The Fake Coins
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Puzzle Number 119
Puzzle Name The Fake Coins
Picarats Given 30 Picarats
Type Write Answer
Location Watchtower 1st Floor
Previous Puzzle DB118 - Garbage Disposal
Next Puzzle DB120 - Tug of War

This is the one hundred and nineteenth puzzle you will encounter in Professor Layton and the Diabolical Box. To access this puzzle, you must examine the string of garlic directly right of the door. In order to solve this puzzle, you must determine how many times the scales must be used to find which bag is filled with fake coins.

Contents

[edit] Hints

Hint One
    The bag of fake coins contains ONLY fake coins, each of them one unit lighter than a real coin. So you could take one coin out for each bag and weigh them each in turn, sing the scale five times.

    But that wouldn't make for a very interesting puzzle, would it?

Hint Two
    Think about how to accomplish your goal in less than five weighings. If you tried to weigh all the bags at once, you would go over the scale's measuring capacity.

Hint Three
    Hint Two had the idea of weighing all the bags at once. There are 10 10-unit coins in each of the five bags, for a total of 500 units. But one bag contains fake coins, so the weight is actually less than that.

    Perhaps the key to solving this really is to weigh all the bags at once, in a sense?


[edit] Messages

[edit] When Failed

Too bad!

Stick with it until you work it out!

[edit] When Completed

You got it!

You only need to use the scale once. From every bag, remove the number of coins indicated by the bag's number. Then you just weigh these 15 coins once.

If all of the coins were real, their combined weight would be 150 units, but you'll end up with a weight less than this. The difference between this actual weight and 150 units corresponds to the number on the bag of fake coins.

[edit] Solution

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The scales must only be used once.

[edit] Progress

1890 Picarats and 124 Hint Coins.



Last edited by Squiggle on 16 December 2015 at 23:33
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