X paid ₹ 47 for certain cups of tea and coffee. If tea costs ₹ 5 per cup and coffee costs ₹ 8 per cup, which one of the following statements is correct ?

Let x be the number of cups of tea and y be the number of cups of coffee. Given the costs, we can form the linear Diophantine equation:

5x + 8y = 47

Since x and y must be non-negative integers, we test possible values for y:

• If y = 1, 5x = 39 (No integer solution)
• If y = 2, 5x = 31 (No integer solution)
• If y = 3, 5x = 23 (No integer solution)
• If y = 4, 5x = 15 → x = 3 (Valid integer solution)
• If y = 5, 5x = 7 (No integer solution)

The only valid solution is 3 cups of tea and 4 cups of coffee. Since 4 > 3, X drank more coffee than tea. Statement A is incorrect as the total is 7 cups, and statements B and C are mathematically false based on the solution.