Assessment started: undefined. Item 1 How did the Great Compromise solve the issue of representation in Congress? It made certain that states only had a single vote from a single house of Congress. It ensured both houses based their number of representatives on a state's population. It made certain that the House of Representatives based their number of representatives on population, and the Senate had an equal number of representatives from each state. It ensured both houses had the same number of representatives from every state.