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What if he'd hoped for 18000 spears? The total number of spears hoped for isnt stated, therefore we cannot assume that 6001 is exactly half of the total.

[-] Enkers@sh.itjust.works 17 points 1 year ago* (last edited 1 year ago)

therefore we cannot assume that 6001 is exactly half of the total.

Correct, all we can deduce is the bounds:

Let x be the number of spears hoped for.

6000 < x/2 < 6002

12000 < x < 12004

Edit: fixed error

[-] rasensprenger@feddit.de 11 points 1 year ago

Less than half and more than half imply strict inequality, so 6000 < x/2 < 6002, so 12001 <= x <= 12003

[-] Enkers@sh.itjust.works 6 points 1 year ago* (last edited 1 year ago)

You're absolutely correct, it should be "<". Since he wished for such an odd number, I wouldn't constrain x to integers though. Maybe he wished for "more than twelve thousand spears"?

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this post was submitted on 26 Oct 2023
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