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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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F
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N
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W
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N
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D
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Y
,
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N
D
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N
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G
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8
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1
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8
=
9
Clue
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
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
YOU NEED TO TAKE OUT THREE SOCKS. TO HAVE A MATCHING PAIR, YOU NEED TO TAKE 2 SOCKS THAT ARE OF THE SAME COLOR. WHEN YOU TAKE 3 SOCKS, 2 OF THE SOCKS WILL BE OF THE SAME COLOR
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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