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?
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?
1). 8 ∶ 5
2). 12 ∶ 7
3). 16 ∶ 9
4). 20 ∶ 11
1 answers
⇒ 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
