A mixture in a container consisted of orange juice and water in unknown quantities. When 3 liters of water were added to the mixture, the resulting solution contained 60% orange juice. Later, 9 liters of orange juice were poured into this new solution, and the orange juice content increased to 75%. What was the original ratio of water to orange juice in the container?

After adding 3 liters of water, the mixture has 60% orange juice, meaning if its total volume is V, it contains 0.6V juice and 0.4V water. Adding 9 liters of juice makes the concentration 75%, so 0.6V + 9 = 0.75(V + 9). Solving this equation gives V = 15 liters, meaning the initial mixture volume was 12 liters. Because the initial 12-liter mixture had a 60% juice concentration, the original amounts were 7.2 liters of juice and 4.8 liters of water. The original ratio of water to orange juice is 4.8 : 7.2, which simplifies to 1 : 3.

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