How many of every kind of villain has slain


Aragorn the Great has show off to his hordes of followers that several notorious villain has fallen to awesome sword: His total of 700 victims comprises of evil sorcerers, trolls, and orcs. He has slain with the total of 800 mighty thrusts of his sword; evil sorcerers and trolls each needing two thrusts (to chest) and orcs each requiring one thrust (to the neck). When asked about number of trolls he has slain, he answers, "I, the mighty Aragorn, scorn trolls nine times as much as I scorn evil sorcerers. Accordingly, nine times as many trolls as evil sorcerers have fallen to my sword!" How many of every kind of villain has he slain.

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Mathematics: How many of every kind of villain has slain
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