At the Constitutional Convention, the what solved the disagreement over representation in the two houses of Congress

At the Constitutional Convention in 1787, the disagreement over representation in the two houses of Congress was solved by what is known as the Great Compromise, or the Connecticut Compromise. This compromise blended the Virginia Plan, which called for representation based on a state's population size, and the New Jersey Plan, which favored equal representation for each state regardless of size.

The Great Compromise established a bicameral legislature with two different forms of representation:
1. The House of Representatives, where representation would be based on the population of each state, thereby favoring the larger states.
2. The Senate, where each state would have two senators, thus ensuring equal representation for all states regardless of population.

This compromise was vital in ensuring the support of both smaller and larger states for the new Constitution and in laying the foundation for the federal structure of the United States government.