In a mixture of 60 liters, the ratio of milk and water is 2 : 1 respec

1.	In a mixture of 60 liters, the ratio of milk and water is 2 : 1 respectively. How much more water must be added to make its ratio 1 : 2 respectively?1. 60 litres2. 40 litres3. 54 litres4. 52 litres
Answer» Correct Answer - Option 1 : 60 litres Given: Total mixture = 60 litres The ratio of milk and water = 2 ∶ 1 Calculation: Let the quantity of milk in the mixture be 2x litres and quantity of water in the mixture is x litres Total mixture = 2x + x = 3x = 60 ⇒ x = 60/3 = 20 Milk in the mixture = 2x = 40 litres Water in the mixture = x = 20 litres Let the quantity of water added be y litres After adding water the ratio of Milk ∶ Water = 1 ∶ 2 40 ∶ (20 + y) = 1 ∶ 2 ⇒ 80 = 20 + y ⇒ y = 60 litres ∴ 60 liters of water should be added

In a mixture of 60 liters, the ratio of milk and water is 2 : 1 respectively. How much more water must be added to make its ratio 1 : 2 respectively?1. 60 litres2. 40 litres3. 54 litres4. 52 litres

Answer» Correct Answer - Option 1 : 60 litres

Given:

Total mixture = 60 litres

The ratio of milk and water = 2 ∶ 1

Calculation:

Let the quantity of milk in the mixture be 2x litres and quantity of water in the mixture is x litres

Total mixture = 2x + x = 3x = 60

⇒ x = 60/3 = 20

Milk in the mixture = 2x = 40 litres

Water in the mixture = x = 20 litres

Let the quantity of water added be y litres

After adding water the ratio of Milk ∶ Water = 1 ∶ 2

40 ∶ (20 + y) = 1 ∶ 2

⇒ 80 = 20 + y

⇒ y = 60 litres

∴ 60 liters of water should be added

Discussion

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