The Ink-Blooded Prince · Physics Brawl 2020 #FoL.7

Physics · mechanics

Problem

When Harry Potter did not behave, professor Umbridge would punish him by forcing him to write with his own blood. He needed 1.21μl1.21\mu l of blood on average to write one lowercase letter. A book of school rules has 259 standard pages, each of which contains 1488 letters on average. However, each thirty-seventh letter is a capital letter, which means it consumes three times more ink than a lowercase letter. Assuming that Harry has 5l of blood, how many copies of the rules could be made from him?

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