How were the council members who handled taxes and treaties in athens chosen?

In the cities of Ancient Greece the Council, called Boule, was a restricted assembly of citizens in charge of the ordinary affairs of the city.

In Athens, Solon converted the Boule into a council of 400 members (100 per tribe). Cleisthenes extended the number of bouleutas to 500, a number that would be preserved later. These were chosen annually by lottery among citizens over thirty years and received a payment of five obols. They were the true governing body of democracy and enjoyed deliberative, administrative and judicial functions.

it was certainly a debatable decision, mainly because it was based primarily on political - and not on legal or social - views. since the congress at that time was led by members of the republican party, and the territory that the tribes wanted to turn into an exclusively indian state was predominantly democratic, the proposal (as expressed in the constitution) did not succeed, but the constitution itself proved to be of crucial importance in the creation of the state of oklahoma, and, most importantly, it guaranteed the involvement of representatives of the indian tribes in the government of the future joint state.  

as a member of congress, i would have voted to ratify the constitution, or at least to have it tabled. ignoring it was an interested and partial decision.