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L _ B _ L _ D Clue
IT IS NOT POSSIBLE TO GUESS ONLY THREE FRUITS CORRECTLY, THE FOURTH FRUIT WILL BE CORRECT TOO! SO NOBODY HAS GUESSED THREE FRUITS CORRECTLY AND SO 10 (123 - 43 - 39 - 31 = 10) PEOPLE HAVE GUESSED FOUR FRUITS CORRECTLY THE SILVER BOX CONTAINED ANNA'S PICTURE. IF HER PICTURE HAD BEEN IN THE GOLD BOX, THE STATEMENTS ON THE GOLD BOX AND SILVER BOX WOULD HAVE BEEN TRUE. IF HER PICTURE HAD BEEN IN THE BRONZE BOX, THE STATEMENTS ON THE BRONZE BOX AND SILVER BOX WOULD HAVE BEEN TRUE. IF HER PICTURE IS IN THE SILVER BOX, THE STATEMENT ON THE BRONZE BOX WOULD BE TRUE AND THE STATEMENTS ON THE GOLD AND SILVER BOXES WOULD NOT BE TRUE FIRST YOU SELECT A FRUIT FROM THE BOX MARKED PEACHES AND ORANGES. IF IT WAS A ORANGE YOU SELECTED, YOU KNOW THAT THE BOX COULD ONLY CONTAIN ORANGES. IF IT WAS A PEACH, YOU KNOW THAT THE BOX COULD ONLY CONTAIN PEACHES SINCE EACH BOX IS INCORRECTLY MARKED. IF, FOR EXAMPLE AN ORANGE WAS SELECTED, YOU WOULD MARK THAT BOX ORANGES AND SWITCH THE OTHER TWO INCORRECT LABELS AROUND. NOW ALL THREE WOULD BE CORRECTLY LABELED YOU WOULD ONLY NEED TO TAKE OUT ONE MARBLE BECAUSE WE KNOW THAT ALL OF THE LABELS ARE INCORRECT. SO YOU PULL ONE MARBLE OUT OF THE BOX LABELED "MIXED." IF RED COMES OUT, YOU KNOW THAT HAS TO BE THE ALL-RED BOX, SO YOU PUT THE RED LABEL ON IT. THE BOX LABELLED "BLUE" MUST THEN BE LABELLED "MIXED" BECAUSE YOU KNOW IT IS ALSO LABELED INCORRECTLY, AND THEREFORE CAN'T BE BLUE. YOU WOULD LABEL THE LAST BOX "BLUE" BECAUSE THAT IS THE ONLY COLOR/BOX COMBO LEFT. IF THE FIRST MARBLE YOU PULLED OUT FROM THE BOX LABELED "MIXED" IS A BLUE MARBLE, THEN YOU SOLVE THE PROBLEM IN THE SAME GENERAL WAY