Neco 2025 Government Question 22

Consider five constituencies each with 10,000 voters. The votes for Parties \(A\), \(B\) and \(C\) in the constituencies are as follows:\n\nConstituency 1: A = 4,500; B = 3,500; C = 2,000\nConstituency 2: A = 3,000; B = 5,000; C = 2,000\nConstituency 3: A = 4,800; B = 2,500; C = 2,700\nConstituency 4: A = 2,200; B = 4,800; C = 3,000\nConstituency 5: A = 3,600; B = 3,400; C = 3,000\n\nUnder the first‑past‑the‑post (FPTP) system, a party wins the seat in a constituency if it receives the most votes there. Under a proportional representation system using the Hare quota and the largest‑remainder method, the same total votes are pooled and five seats are allocated proportionally. What is the difference in the number of seats that Party \(A\) would obtain between the FPTP system and the proportional representation system?