Stormrage you fail to consider that most slinger units are only levy troops not professional soldiers. They lack the training of the better archers. They cost less not without reason. Also you should understand that armour does not weaken a unit. A normal archer unit will win against a normal slinger and obviously the chances will not be better against an armoured archer. Slingers just have better chances to kill (very) heavy armoured units than archers but that does not mean they will win against heavy archers because the archers are also very good in killing the slingers. Another point you need to consider are the different ballistic curves. It's much easier to prevent units being hit by slingers than being hit by archers.
Your 240 slingers will kill 80 archers but not with ONE volley but with a dozen perhaps.
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