A container holds a mixture of milk and water in the ratio 4:5. When 8 litres of milk are added, the container becomes full, and the new ratio of milk to water changes to 6:5. What is the total capacity of the container?

Explanation

Let the total capacity of the container be T litres. Initially, the volume of milk is (4/9) × (T - 8) litres since 8 litres of milk are yet to be added. After adding 8 litres of milk, the milk volume becomes (6/11) × T litres. Setting up the equation: (6/11)T - 8 = (4/9)(T - 8). Solving this yields T = 44 litres.