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T _ G _ T H _ R Clue
USE 4 HALF FILLED BARRELS TO FILL 2 EMPTY BARRELS. WE ARE THEN LEFT WITH 9 FULLY FILLED BARRELS, 3 HALF FILLED BARRELS AND 9 EMPTY BARRELS. EACH SON GETS 3 FULL BARRELS, 1 HALF-FULL BARREL, AND 3 EMPTY BARRELS FIRST CUT THE CAKE INTO 4 EQUAL PIECES WITH 2 CUTS ON THE TOP - ONE HORIZONTALLY DOWN THE CENTER OF THE CAKE AND THE OTHER VERTICALLY DOWN THE CENTER OF THE CAKE LIKE A CROSS ('+'). NEXT IS TO CUT THE 4 PIECES INTO HALF WITH A HORIZONTAL FINAL CUT ON THE SIDE. THIS WILL GIVE YOU 4 PIECES OF CAKE ON TOP AND 4 PIECES OF CAKE UNDERNEATH YOU WILL NEED TO MAKE THREE CUTS. CUT ALL THREE LINKS ON ONE CHAIN AND SEPARATE THEM. NOW YOU HAVE 3 CHAINS AND 3 LINKS. THEN, USE THESE 3 INDIVIDUAL LINKS TO JOIN THE OTHER THREE CHAINS TOGETHER IT WOULD TAKE 5 MINUTES. EACH MACHINE TAKES 5 MINUTES TO MAKE ITS WIDGET. THEREFORE, EACH OF THE 100 MACHINES WOULD HAVE FINISHED MAKING ITS WIDGET IN 5 MINUTES