Found an interesting maths puzzle (originally in German) for those so inclined and who fancy a small diversion:
spektrum.de/raetsel/wie-viele-

Translation: A train is pulling 11 passenger cars. There are 381 passengers total, and in any 3 consecutive cars there are 99 passengers. How many are in the ninth carriage?

(Please use CW to prevent spoilers in the replies so that others can enjoy the puzzle too)

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@mattp so cars 1-3,4-6,7-9 each contain 99 people. That's 297 in the first 9 cars. So there must be 84 in 10&11. So there must be 15 in #9 to make the 9-11 total 99.

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