Two bottles A and B contain mixture of milk and water in the ratio of 5 ∶ 3 and 1 ∶ 5 respectively. Find the ratio in which these two mixtu…

Let Amount of mixture contained by both bottles A and B be 1 litre

Bottle A contains milk and water mixture in the ratio 5 ? 3

⇒ Amount of milk in the bottle A = 5/8 litre

⇒ Amount of water in the bottle A = 3/8 litre

Bottle B contains milk and water mixture in the ratio 1 ? 5

⇒ Amount of milk in the bottle B = 1/6 litre

⇒ Amount of water in the bottle B = 5/6 litre

Let ‘x’ and ‘y’ litres from bottle A and B respectively are mixed

⇒ Amount of milk in the new mixture in litre = 5/8x + 1/6y

⇒ Amount of milk in the new mixture in litre = 3/8x + 5/6y

? New mixture contains milk and water in the ratio 3 ? 4

⇒ (5/8x + 1/6y) / (3/8x + 5/6y) = 3/4

⇒ (15x + 4y) / (9x + 20y) = 3/4

⇒ 60x + 16y = 27x + 60y

⇒ 33x = 44y

⇒ x/y = 4/3