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0 / 60 seg.
An evening theater performance is scheduled every third day. What is the maximum number of performances that can take place over a 25-day period?
9
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W
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D
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Y
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8
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9
Clue
HE WILL HAVE 25 COCONUTS WITH HIM AT THE END. THE TRICK IS TO REDUCE THE NUMBER OF SACKS AS YOU PASS CHECKPOINTS. THE FIRST 10 CHECKPOINTS REQUIRE 3 COCONUTS EACH, WHICH EMPTIES HIS FIRST SACK. THE NEXT 15 CHECKPOINTS REQUIRE 2 COCONUTS EACH, WHICH WILL EMPTY HIS SECOND STACK. NOW, HE IS LEFT WITH 1 SACK AND 5 MORE CHECKPOINTS. SO, THE 5 CHECKPOINTS WILL TAKE 1 COCONUT EACH. THEREFORE, HE WILL BE LEFT WITH 25 COCONUTS
THE STUDENT IS DOUBLE COUNTING A LOT OF THE DAYS. A LOT OF THE TIME SPENT SLEEPING, EATING, AND RELAXING OCCURS DURING WEEKENDS AND THE SUMMER. WEEKENDS ALSO OCCUR DURING THE SUMMER, SO ALL OF THESE HOURS ARE GETTING COUNTED SEVERAL TIMES. AND, SCHOOL IS NOT AN ALL DAY AFFAIR. SO THE 4 DAYS ACTUALLY REPRESENTS MORE DAYS OF SCHOOL. IF SCHOOL IS 6 HOURS PER DAY, THOSE FOUR DAYS REPRESENTS 16 DAYS OF SCHOOL
9 PERFORMANCES. WE CAN HAVE A PERFORMANCE THE FIRST DAY, AND THEN EVERY THIRD DAY AFTER THAT, GIVING 8 MORE PERFORMANCES. THE TOTAL IS 1 + 8 = 9
IT IS POSSIBLE IF THE PERSON IS A BARBER. THE BARBER COULD SHAVE OTHER MEN THREE TIMES A DAY AND STILL GROW HIS OWN BEARD
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