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?

9:7

Vessel 1,

Juice : Water

  3    :   5

Vessel 2,

Juice : Water

  3    :    1

⇒ Capacity of Vessel A = Capacity of Vessel B 

⇒ (3 + 5) = (3 + 1) x 2

⇒ 3 : 5 = 6 : 2

⇒ Ratio of Juice and Water in new vessel 

⇒ Juice    :  Water

   (3 + 6) : (5 + 2)

       9      :   7

Hence, Ratio of Juice and Water in new mixture is 9 : 7.