What determined how many votes each state received in the house of representatives and the senate?

Answer 1

The Great Compromise by Henry Clay made to satisfy both the small states (who wanted a set number of votes per state as in the Senate) and the large states (who wanted the number of votes to be determined by size, as in the House of Rep.).

Answer 2

The number of votes each state receives in the U.S. House of Representatives is determined by the state's population. Each state is allocated a certain number of seats based on its population, as determined by the U.S. Census taken every 10 years. In the Senate, however, each state is represented by two senators, regardless of population size. This ensures that each state has equal representation in the Senate.