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WINNER! - Logic Puzzle of the Year …

Tags: bar tab, big kahuna, cool breeze, dollars and cents, five cents, freaky tikis, kickback, lime, logic puzzle, orange cranberry, orange juice, perfect square, pineapple juice, seven cents, seventeen cents, shooter, shooters, sphinx, toucan, whole number,
Pages: 3
Language: english
Created: Sat Jul 2 18:11:32 2005
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                   WINNER! - Logic Puzzle of the Year
                                Bar Tab
(Solver's note: Part 1: The Menu and Part 2: The Recipes may be solved
independently, in case you want to divide labor.)

PART 1: THE MENU

At the Drunken Sphinx, there are eight drinks on the menu, each of which
costs a whole number of dollars and cents.

   An order of four Freaky Tikis costs exactly seven cents more than three
   of another drink on the menu, and exactly seventeen cents less than
   three of yet another drink on the menu.

   At $5.07, the Big Kahuna is the most expensive drink on the menu.

   The difference between the prices of the Tropic Delight and the (more
   expensive) Kickback is double the difference between the prices of the
   Tasty Toucan and the (more expensive) Maui Kazowie.

   The cost of five Maui Kazowies is five cents less than N dollars, where N is
   an odd perfect square (the product of a whole number times itself.) The
   Maui Kazowie costs more than the Tropic Delight.

   A Tropic Delight costs the same as three Bermuda Shooters; a Cool Breeze
   costs the same as five Bermuda Shooters.

   The Bermuda Shooter costs more than a dollar.

   The Kickback costs fourteen cents more than the Tasty Toucan.
PART 2: THE RECIPES

Each drink contains exactly four ounces of juice, in some combination of
orange, cranberry, lime, and pineapple. No recipe uses the same juice
combination, and each recipe uses a whole number of ounces of each juice.

   Exactly four drinks contain cranberry juice, and each contains a different
   amount. The same is true for pineapple juice.

   No type of juice is contained in both the Bermuda Shooter and the
   Kickback. No type of juice is contained in both the Big Kahuna and the
   Freaky Tiki.

   The Kickback contains more orange juice than the Big Kahuna, which
   contains more orange juice than the Cool Breeze.

   The Tasty Toucan and the Cool Breeze each only contain one type of juice.
   No drink contains exactly three types of juice.

   The Tropic Delight contains more lime juice than the Kickback--twice as
   much, in fact--and the Kickback contains twice as much lime juice as the
   Freaky Tiki.

   The Big Kahuna contains more pineapple juice than the Cool Breeze.

   The Maui Kazowie contains equal amounts of orange, pineapple, and
   cranberry juice.
PART 3: THE NIGHT OUT

Diana, Melissa, John, and Mike spent the evening at the Drunken Sphinx, which
is located in a tiny foreign land where there is no sales tax and tipping is illegal.

    Each customer ordered different drinks (at least two) until they found one
    they decided was their favorite. Then each customer ordered their favorite
    drink exactly once more, except for John, who ordered his favorite drink
    twice more. No two customers had the same favorite drink.

    No one ordered the most expensive drink on the menu or the least
    expensive drink on the menu.

    Melissa had exactly six ounces of pineapple juice.

    Diana had exactly eleven ounces of one juice. John had exactly eleven
    ounces of a different juice than Diana.

    Mike ordered fewer drinks than anyone else did, and he ordered the
    cheapest drink containing orange juice at least once.

    No customer spent more than $21.00.

    Everyone ordered Mike's favorite drink except John. One particular drink
    was ordered by everyone except Mike, but it was no one's favorite.


At the end of the night, a waiter delivered the bar tab, which listed the amount
of money each customer owed in order from the least to the most.