Math Problem Rewrite #1?

cw: gun/military violence

I was tutoring this weekend when this problem came up in the competition test we were working through. I was so jarred by the first sentence, I couldn’t finish reading the problem. I apologized to my tutee and asked if we could move on to the next one instead.

20. Two nations A and B are in a battle with 1000 soldiers involved altogether. The armies take turns to attack. In each turn every living soldier from the attacking army shoots a soldier fromt he enemy's army. The battle ended (not necessarily by the elimination of one of the sides) after three turns (A was shooting first, then B, then finally A again). What is the least guaranteed number of survivors?
Florida Mu Alpha Theta 2018 Algebra II January Regional, Problem #20.

I still haven’t taken the time to read it and try to solve it.

I know I haven’t posted since I first started this blog, but I’m still thinking about this problem several days later. I hope to come back to write my problems with it. I need to document it here for now so I don’t forget.

I invite all who can brave reading the problem to attempt a rewrite, to change the context but keep any worthwhile underlying mathematics. What affirming, imaginative futures can you conjure up?

I cannot find it in me to do that right now.

Published by Xi Yu

Twitter: @xyu119

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