The Predator has chosen soldiers as his prey becuase they represent the best challenge. The other members of the squad are all killed, but Dutch (Arnold Schwarzenegger) mortally wounds the Predator in a one-on-one face off in the jungle by crushing it with a tree stump booby trap. The Predator then sets an self-destruct and laughs manically until it explodes as Dutch escapes. Dutch is joined on the flight home by Anna (Elpidia Carrillo), the hostage he rescued.
Thanks, SjRossiter!