DB152 - The Card Tournament

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The Card Tournament
Puzzle Number 152
Puzzle Name The Card Tournament
Picarats Given 80 Picarats
Type Write Answer
Location Layton's Challenges
Previous Puzzle DB151 - Colin's Score
Next Puzzle DB153 - The Diabolical Box

This is the one hundred and fifty-second puzzle you will encounter in Professor Layton and the Diabolical Box. This puzzle can be accessed through Professor Layton's Challenges. In order to solve this puzzle, you must determine how many hands in round-robin Wallace played before leaving.


[edit] Hints

Hint One
    Mock up an equation with the number of people and the number of matches played as variables. That would be a good place to start.

Hint Two
    In order to create the equation for the number of hands, you would need to multiply the number of players by the number of players minus one, then divide this product by two. If there were three people, there would have been three hands. If there were four people, there would have been six hands. You can assume from the conditions given that if no one left, the minimum number of hands would still have to be at least 60.

Hint Three
    There were 12 people at the tournament. Now think it through!

[edit] Messages

[edit] When Failed

Too bad!

This is a calculation problem, but it does take some ingenuity to solve.

[edit] When Completed

Good job!
Wallace played four hands. First, you need to find the total number of hands if everyone stayed. You can find it with an equation like the one here. If there were 11 people, there would've been 55 matches, and if there were 12 people, there would've been 66. Since we know 59 hands were played, there must have been 12 people at the start. When we subtract the 59 hands played from the 66 ideal, we learn that Wallace missed seven hands. Since everyone would've played 11 hands ideally, that means Wallace only played four hands.

[edit] Solution


Wallace played four hands.

[edit] Progress

5401 Picarats and 230 Hint Coins.

Last edited by Squiggle on 19 December 2015 at 04:28
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