Bece Model Questions Vol1 2025 Mathematics Question 6

A rectangular garden measures 24 m in length and 18 m in width. The garden will be planted with roses and lilies. The area allocated to roses is in the ratio 3 : 5 of the area allocated to lilies. The cost of planting roses is ₦250 per square metre and lilies ₦180 per square metre. In addition, a fertilizer that covers the whole garden costs ₦12,000. Answer the following: (a) Determine the area (in square metres) to be planted with roses and with lilies. (b) Calculate the total cost of planting the two flower types together with the fertilizer. (c) If the gardener decides to increase the area for roses by 20 % while keeping the total garden area unchanged (the lily area is reduced accordingly), what will be the new total planting cost (excluding fertilizer)?