a) Gross profits will she earn from her heaps after re-packaging?

Hey Mr., good to see you again. Here are the solutions to your questions: a) Gross profits will she earn from her heaps after re-packaging? Step 1: Calculate the total number of tomatoes bought. She bought 9 heaps, with 8 tomatoes per heap. Total tomatoes = 9 heaps × 8 tomatoes/heap = 72 tomatoes Step 2: Calculate the total cost of buying the tomatoes before the discount. The cost was Ugx 2000 per heap. Cost before discount = 9 heaps × Ugx 2000/heap = Ugx 18000 Step 3: Calculate the total cost after the 5% discount. Discount amount = 0.05 × Ugx 18000 = Ugx 900 Total cost after discount = Ugx 18000 - Ugx 900 = Ugx 17100 Step 4: Calculate the number of new heaps after re-packaging. She re-packages into heaps of four tomatoes. Number of new heaps = 72 tomatoes4 tomatoes/heap = 18 heaps Step 5: Calculate the total revenue from selling the new heaps. She sells each new heap for Ugx 1200. Total revenue = 18 heaps × Ugx 1200/heap = Ugx 21600 Step 6: Calculate the gross profit. Gross profit is total revenue minus total cost. Gross profit = Ugx 21600 - Ugx 17100 = Ugx 4500 b) Money, will she spend in total to buy the tickets she needs? Step 1: Define variables for ticket prices. Let A be the cost of an adult ticket and C be the cost of a child ticket. Step 2: Formulate equations based on the given information. From the uncle's visit (1 adult, 3 children) in Dec 2023: A + 3C = 17000 (1) From Mr. and Mrs. Mukasa's visit (2 adults, 1 child) in June 2024: 2A + C = 14000 (2) Step 3: Solve the system of equations for A and C. From equation (2), express C in terms of A: C = 14000 - 2A Substitute this into equation (1): A + 3(14000 - 2A) = 17000 A + 42000 - 6A = 17000 -5A = 17000 - 42000 -5A = -25000 A = (-25000)/(-5) = 5000 Now substitute A = 5000 back into the expression for C: C = 14000 - 2(5000) = 14000 - 10000 = 4000 So, an adult ticket costs Ugx 5000 and a child ticket costs Ugx 4000. Step 4: Determine the number of adults and children in her group. She plans to buy tickets for herself, her husband, and five children. Number of adults = 1 (herself) + 1 (husband) = 2 Number of children = 5 Step 5: Calculate the total cost for her group. The park charges are adjusted every five years, and all visits (Dec 2023, June 2024, Dec 2024) fall within the same 5-year period, so the prices remain consistent. Total cost = (2 × A) + (5 × C) Total cost = (2 × Ugx 5000) + (5 × Ugx 4000) Total cost = Ugx 10000 + Ugx 20000 Total cost = Ugx 30000 Drop the next question! 📸