Neco 2018 Civic Education Question 45

A peace treaty is being drafted with five possible clauses. Their respective weights (reflecting importance) are: Clause 1 = 20, Clause 2 = 15, Clause 3 = 25, Clause 4 = 10, Clause 5 = 30 (total = 100). Party A will accept the treaty only if the sum of the weights of the clauses it prioritises that are included is at least 70 % of the total weight (i.e., ≥ 70). Party A prioritises clauses 1, 3 and 5. Party B will accept only if the sum of the weights of the clauses it prioritises that are included is at least 65 % of the total weight (i.e., ≥ 65). Party B prioritises clauses 2, 3, 4 and 5. Determine the smallest‑weight set of clauses that can be included so that both parties' acceptance conditions are satisfied. List the clause numbers and the total weight of the selected set.