Two vessels of equal capacity contain juice and water in the ratio of 3:5 and 3:1 respectively. The mixture of both the vessels are mixed and transferred into a bigger vessel. What is the ratio of juice and water in the new mixture?

Vessel 1: Juice:Water = 3:5 means Juice = 3x, Water = 5x. Vessel 2: Juice:Water = 3:1 means Juice = 3y, Water = 1y. Since vessels have equal capacity and ratios are in same terms, let x=y. Total Juice = 3x + 3x = 6x. Total Water = 5x + 1x = 6x. New ratio = 6x:6x = 1:1. But wait - let me recalculate. The vessels have equal capacity. Let both have 8 units. V1: 3 juice, 5 water. V2: 6 juice, 2 water (since 3:1). Total juice = 9, Total water = 7. Ratio = 9:7.