44 litres of milk-water mixture of ratio 7 ∶ 4 is mixed with 40 litres of another milk-water mixture of ratio 5 ∶ 3. If 2 litres of water a… — Answer & Discussion

44 litres of milk-water mixture of ratio 7 ∶ 4 is mixed with 40 litres of another milk-water mixture of ratio 5 ∶ 3. If 2 litres of water and 7 litres of milk were further added, what is the ratio of milk and water in the final mixture?

A8 ∶ 5
B12 ∶ 7
C16 ∶ 9
D20 ∶ 11

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Discussion 1

CCommunity26 Jun 2019

⇒ Ratio of first mixture = 7 : 4

⇒ Quantity of milk in 44 litres of first mixture = (7/11) × 44 = 28 litres

⇒ Quantity of water in 44 litres of first mixture = (4/11) × 44 = 16 litres

Similarly,

⇒ Ratio of second mixture = 5 : 3

⇒ Quantity of milk in 40 litres of second mixture = (5/8) × 40 = 25 litres

⇒ Quantity of water in 40 litres of second mixture = (3/8) × 40 = 15 litres

Further, 2 litres of water and 7 litres of milk was added,

⇒ Total quantity of milk in new mixture = 28 + 25 + 7 = 60 litres

⇒ Total quantity of water in new mixture = 16 + 15 + 2 = 33 litres

∴ Ratio of milk and water in final mixture = 60 : 33 = 20 : 11