X paid Rs. 47 for certain cups of tea and coffee. If tea costs Rs. 5 per cup

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

  1. He drank 8 cups of tea and coffee.
  2. He drank the same number of cups of tea and coffee.
  3. He drank more tea than coffee.
  4. He drank more coffee than tea.

Answer

Let X drank t cups of tea and c cups of coffee.

5t + 8c = 47, where t and c have to natural numbers.

Only way this is possible is when t = 3.

5(3) + 8c = 47

8c = 47 - 15 = 32

c = 4

He drank 3 cups of tea and 4 cups of coffee.

The correct option is D.