What on Square!?

  • I believe, that mathematically there is infinite number of solutions. I suppose the values of goods are supposed to be a whole number, since I was unable to find a solution with natural numbers as values of goods in the interval of solutions <-1000; 1000>.


    If the solution is supposed to be a natural number, I found:

    75 (meat = 4; patries = -5; food = 4; flour = 5)

    459 (meat = -38; patries = -8; food = 38; flour = 19)

    843 (meat = -80; patries = -11; food = 72; flour = 33)


    If the solution is supposed to be a whole number, I also found:

    -309 (meat = 46; patries = -2; food = -30; flour = -9)

    -693 (meat = 88; patries = 1; food = -64; flour = -23)


    There are some wannabes:

    651 (meat = -59; patries = -9,5; food = 55; flour = 26)

    -501 ((meat = 67; patries = -0,5; food = -47; flour = -16)

    -885 (meat = 109; patries = 2,5; food = -81; flour = -30)


    And a lot more kinda pretty numbers:

    555; 747; 795; 939; -405; -789; -981


    Hope I didnt mistype. Anyway thx for some brainteaser.


    Standouch (CZ101 Golden Gate)

  • Thank you to all geniuses! It seems this was "a bit" too puzzling puzzle!


    There are two solutions, a simple one and one that asks for patience with numbers.


    Solution 1: sum and multiply the number of goods, going clockwise.

    4x5+5=25

    6x3+10=28

    7x8+4=60

    2x9+10=28


    Solution 2: give each goods a value

    Sausage 4

    Burger 4

    Flour 5

    Bread -5


    Based on answers, the latter was the most popular solution. There may be other solutions (values), and based on the explanations, those answers will also take part in the prize raffle.


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