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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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1
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8
=
9
Clue
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
THURSDAY. LET'S BREAK IT DOWN: "TODAY WILL BE AS FAR FROM WEDNESDAY AS TODAY WAS FROM WEDNESDAY" MEANS TODAY IS WEDNESDAY. "WHEN THE DAY AFTER TOMORROW IS YESTERDAY" REFERS TO FRIDAY AND TUESDAY RESPECTIVELY. "THE DAY BEFORE YESTERDAY WAS TOMORROW" REFERS TO MONDAY AND THURSDAY RESPECTIVELY. SO TOMORROW IS THURSDAY
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
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
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