LS079 - Sweet Sums

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Sweet Sums
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Puzzle Number 079
Puzzle Name Sweet Sums
Picarats Given 50 Picarats
Type Button
Location Market Entrance
Previous Puzzle LS078 - Lucky Tablecloth
Next Puzzle LS080 - Paint the Plinth

This is the seventy-ninth puzzle in Professor Layton and the Last Specter. To access this puzzle, you must talk to Aunt Taffy. In order to solve this puzzle, you must determine which jar contains six pieces of candy.

Contents

[edit] Hints

Hint One
    All you need to do is figure out which jar contains six pieces of candy.

    Even if you can't work it out using complicated mathematical calculations, you should still be able to solve it by figuring out an alternate method for determining the number of candies in each jar.

Hint Two
    Here's the puzzle in equations:
    A + B = 2C
    B + D = 2A
    A + 3 = 2B
    D > 3

    This might help you spot a detail that you may have missed.

Hint Three
    A + 3 = 2B

    2B must be an even number 2 is one of its factors. That means A + 3 is also an even number.

    Subtracting 3 from an even number will always result in an odd number, which means A must be odd.

    So if A (odd) + B = 2C (even), then what is B, an odd or even number?

Super Hint
    Odd + Odd = Even; Odd + Even = Odd

    From this simple rule, you can figure out that number of candies in jar B must be odd that the number in jar D must also be odd.

    This means that all of the jars except C contain an odd numbers of candies. Therefore, the number of candies in jar C must be...


[edit] Messages

[edit] When Failed

Too bad!

Think it through and try again.

[edit] When Completed

Correct!

You know that A + 3 = 2B. Now, as 2B must be even and 3 is odd, A must also be odd.

Similarly,
A (odd) + B = 2C (even), so B = odd
B (odd) + D = 2A (even), so D = odd

The jar you are looking for contains an even number of sweets. As C is the only remaining possibility, it must be the answer by default.

[edit] Solution

Jar C contains six sweets.

[edit] Progress

3085 Picarats and 264 Hint Coins.



Last edited by Squiggle today at 06:11
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