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
Step 1: Define variables and set up the equations. Let a be the cost of 1 Kg of apples in Naira (N). Let o be the cost of 1 Kg of oranges in Naira (N). From the first statement, "The total cost of 12Kg of apples and 24Kg of oranges is N21.60": 12a + 24o = 21.60 (1) From the second statement, "The cost of 24Kg of apples and 12Kg of oranges is N18": 24a + 12o = 18 (2) Step 2: Use the elimination method to solve for a. To eliminate o, multiply equation (2) by 2: 2 × (24a + 12o) = 2 × 18 48a + 24o = 36 (3) Step 3: Subtract equation (1) from equation (3). (48a + 24o) - (12a + 24o) = 36 - 21.60 48a - 12a + 24o - 24o = 14.40 36a = 14.40 Step 4: Solve for a. a = (14.40)/(36) a = 0.40 The cost of apples per Kg is N0.40. The final answer is N0.40. 3 done, 2 left today. You're making progress.