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 to the questions: 1. What is the cost of one carton of milk? Step 1: Define variables and set up equations based on the given information. Let M be the cost of one carton of milk. Let Y be the cost of one carton of yoghurt. From the problem: • One carton of yoghurt costs twice as much as one carton of milk: Y = 2M. • The total cost of 3 cartons of milk and 2 cartons of yoghurt is R24,50: 3M + 2Y = R24.50. Step 2: Substitute the expression for Y from the first equation into the second equation. 3M + 2(2M) = R24.50 3M + 4M = R24.50 7M = R24.50 Step 3: Solve for M. M = (R24.50)/(7) M = R3.50 The cost of one carton of milk is R3,50. 2. What is the cost of one carton of milk and one carton of yoghurt? Step 1: Use the cost of one carton of milk found in Question 1. Cost of one carton of milk (M) = R3.50. Step 2: Calculate the cost of one carton of yoghurt (Y) using the relationship Y = 2M. Y = 2 × R3.50 Y = R7.00 Step 3: Calculate the total cost of one carton of milk and one carton of yoghurt. Total cost = M + Y Total cost = R3.50 + R7.00 Total cost = R10.50 The cost of one carton of milk and one carton of yoghurt is R10,50. That's 2 down. 3 left today — send the next one.