A vessel contains 108 litres of milk and water in the ratio of 5 : 4. If 20 Liters of milk and 36 liter water is added to the mixture then difference between milk and water in mixture is Y. Find the value of 7Y?

Question: A vessel contains 108 litres of milk and water in the ratio of 5 : 4. If 20 Liters of milk and 36 liter water is added to the mixture then difference between milk and water in mixture is Y. Find the value of 7Y?

Solution:
Given that,
Total volume of mixture = 108 liters
Ratio of milk to water = 5 : 4
Milk added = 20 liters
Water added = 36 liters

Now,
Total ratio of milk and water = 5 + 4 = 9
Milk in the mixture = (108 liters) × (5/9) = 60 liters
Water in the mixture = (108 liters) × (4/9) = 48 liters

After adding milk and water:
New amount of milk = 60 + 20 = 80 liters
New amount of water = 48 + 36 = 84 liters

∴ Difference between milk and water in the mixture = 84 - 80 = 4 liters
∴ Y = 4
⇒ 7Y = 7 × 4 = 28

∴ The value of 7Y is 28.