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
Here are the solutions for question 2: b) i) Step 1: Identify the cost of food and drinks from the table. Cost of Food = GH¢477.32 Cost of Drinks = GH¢255.75 Step 2: Calculate the difference between the cost of food and drinks. Difference = Cost of Food - Cost of Drinks Difference = GH¢477.32 - GH¢255.75 Difference = GH¢221.57 He budgeted GH¢221.57 more on food than drinks. b) ii) Step 1: Identify the budgeted amount for drinks. Budgeted amount for Drinks = GH¢255.75 Step 2: Calculate four-fifth of the budgeted amount for drinks. Amount spent = (4)/(5) × GH¢255.75 Amount spent = 0.8 × GH¢255.75 Amount spent = GH¢204.60 The amount actually spent on drinks is GH¢204.60. c) Step 1: Find the prime factorization of 105 kg. 105 = 3 × 5 × 7 Step 2: Find the prime factorization of 120 kg. 120 = 2 × 60 = 2 × 2 × 30 = 2 × 2 × 2 × 15 = 2^3 × 3 × 5 Step 3: Find the greatest common divisor (GCD) of 105 and 120. The common prime factors are 3 and 5. GCD(105, 120) = 3^1 × 5^1 = 15 The greatest quantity he can sell the rice in equal amounts is 15 kg. d) Step 1: Let the actual price of the bicycle be P. The discount is 8%. The price paid is the actual price minus the discount. Price paid = P - (0.08 × P) Price paid = P(1 - 0.08) Price paid = 0.92P Step 2: We are given that Aku paid GH¢368.00. 0.92P = GH¢368.00 Step 3: Solve for P. P = GH¢368.000.92 P = GH¢400.00 The actual price of the bicycle is GH¢400.00.