The Greek democracy was planned to work in the polis or city-states. In this places all the Greek citizens had the duty to vote and participate in the political matters, curiously the city-states considered slaves were necessary so the citizens could focus on their obligations. On the other hand, in the Roman republic, citizens elected a representative as a senator and the senators were the ones to elect a ruler, similarly to the U.S. election system
Thus, the right answer is: In Greek democracy, each man got a vote; in the Roman republic, each man voted for a representative.