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 x be the number of taxis and y be the number of Costa buses. The mathematical relationships representing the situation are: 1. Number of taxis vs. Costa buses: The number of taxis is greater than the number of Costa buses. x > y 2. Maximum number of taxis: The number of taxis will be less than five. x < 5 3. Total transport cost: The cost of hiring a taxi is Ugx 60,000, and a Costa bus is Ugx 100,000. The maximum available budget is Ugx 600,000. 60,000x + 100,000y 600,000 Dividing by 10,000: 6x + 10y 60 Dividing by 2: 3x + 5y 30 4. Non-negative integer constraints: The number of taxis and Costa buses must be whole numbers and cannot be negative. x Z, y Z x 0, y 0 Given x > y and x < 5, it implies x must be at least 1. So, x \1, 2, 3, 4\ and y \0, 1, 2, 3\. The mathematical relationships are: x > y x < 5 3x + 5y 30 x, y are non-negative integers 3 done, 2 left today. You're making progress.