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9
M _ N _ T _ S Clue
START BOILING THE EGGS AND START BOTH THE HOURGLASSES - ALL AT THE SAME TIME. WHEN THE 4-MINUTE HOURGLASS RUNS OUT, TURN IT OVER IMMEDIATELY SO THAT IT WILL START COUNTING 4-MINUTES AGAIN. WHEN THE 7-MINUTE HOURGLASS RUNS OUT, TURN IT OVER IMMEDIATELY. AT THIS TIME, THE 4-MINUTE HOURGLASS WILL HAVE 1 MINUTE REMAINING. AT THE 8TH MINUTE, THE MOMENT THE 4-MINUTE HOURGLASS RUNS OUT FOR THE SECOND TIME, TURN THE 7-MINUTE HOURGLASS OVER - IT WOULD HAVE BEEN RUNNING FOR EXACTLY ONE MINUTE. WHEN THE 7-MINUTE HOURGLASS RUNS OUT, THAT WILL BE 9 MINUTES WHEN THE PROFESSOR CONFIRMED JOHNNY'S ANONYMITY (THE PROFESSOR DIDN'T KNOW WHO HE WAS), JOHNNY QUICKLY SLIPPED HIS EXAM PAPER INTO THE PILE OF EXAMS AND RAN OFF, SO THE PROFESSOR WOULDN'T KNOW WHICH EXAM PAPER DESERVED AN F. CONGRATULATIONS ON STICKING THROUGH THE WHOLE RIDDLE LET'S NAME THE ROPES AS A AND B. LIGHT A FROM BOTH THE ENDS AND B FROM ONE END. WHEN A IS FINISHED BURNING WE KNOW THAT 30 MINUTES HAVE ELAPSED AND B HAS 30 MINUTES REMAINING. NOW, LIGHT THE OTHER NON-BURNING END OF B AND START THE TIMER. WHEN B IS FINISHED BURNING, STOP THE TIMER AS 15 MINUTES HAVE ELAPSED HE HAD 15 EGGS. THE FIRST PERSON BOUGHT HALF OF THE 15 EGGS WHICH IS 7½ EGGS AND ANOTHER ½ EGG. SO HE BOUGHT 8 EGGS IN TOTAL AND JACK IS LEFT WITH 7 EGGS. THE SECOND PERSON BOUGHT HALF OF THE REMAINING 7 EGGS WHICH IS 3½ EGGS AND ANOTHER ½ EGG. SO HE BOUGHT 4 EGGS AND JACK IS LEFT WITH 3 EGGS. THE LAST PERSON BOUGHT HALF OF THE REMAINING 3 EGGS WHICH IS 1½ EGGS AND ANOTHER ½ EGG. SO THE LAST PERSON BOUGHT 2 EGGS. THAT LEAVES 1 EGG REMAINING IN JACK'S BASKET