This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey Nasiru, good to see you again. Here are the solutions to your homework questions: Question 1: This is an inverse proportion problem. The total work (task) is constant. Let B be the number of boys and T be the time in hours. The product B × T remains constant. Step 1: Calculate the total work units. B_1 × T_1 = 36 boys × 4 hours = 144 boy-hours Step 2: Use the total work units to find the new number of boys (B_2) for the new time (T_2 = 24 hours). B_2 × T_2 = 144 boy-hours B_2 × 24 hours = 144 boy-hours B_2 = 144 boy-hours24 hours B_2 = 6 boys The number of boys required is 6 boys. Question 2: This is a direct proportion problem. The cost is directly proportional to the number of people and the number of days. Let P be the number of people, D be the number of days, and C be the cost. The ratio (C)/(P × D) remains constant. Step 1: Calculate the cost per person per day. Cost per person per day = (C_1)/(P_1 × D_1) Cost per person per day = GH¢ 600.003 people × 10 days Cost per person per day = GH¢ 600.0030 person-days Cost per person per day = GH¢ 20.00 per person-day Step 2: Calculate the total cost for 5 people staying for 8 days. C_2 = (Cost per person per day) × P_2 × D_2 C_2 = GH¢ 20.00/person-day × 5 people × 8 days C_2 = GH¢ 20.00 × 40 C_2 = GH¢ 800.00 The cost for 5 people staying for 8 days is GH¢ 800.00. Here are your final answers: 1. The number of boys required is 6 boys. 2. The cost for 5 people staying for 8 days is GH¢ 800.00. Send me the next one 📸