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
Let A be the cost of an adult ticket and C be the cost of a child ticket. From the problem statement, we can form two linear equations: Encik Khabir's purchase: 2A + 3C = 46 (1) Mr Foo's purchase: A + 2C = 27 (2) Step 1: Multiply equation (2) by 2 to make the coefficients of A equal. 2 × (A + 2C) = 2 × 27 2A + 4C = 54 (3) Step 2: Subtract equation (1) from equation (3) to eliminate A. (2A + 4C) - (2A + 3C) = 54 - 46 2A + 4C - 2A - 3C = 8 C = 8 Step 3: Substitute C = 8 into equation (2) to find A. A + 2(8) = 27 A + 16 = 27 A = 27 - 16 A = 11 The cost of an adult ticket is RM11 and the cost of a child ticket is RM8. The cost of an adult ticket is RM11 and the cost of a child ticket is RM8. That's 2 down. 3 left today — send the next one.