A mixture of 30 liters contain milk and water in the ratio of 7:3. how much water should be added to it so that the ratio of milk and writ or become 3:7 ?
Answers
Answer:
40 litres
Step-by-step explanation:
Given:
The quantity of mixture is 30 litres.
The ratio of milk and water in the mixture is 7 : 3.
Concept Used:
Total mixture = Quantity of Milk + Quantity of Water
Calculation:
The quantity of mixture is 30 litres.
The quantity of milk = 7/10 × 30 = 21 litres
The quantity of water = 3/10 × 30 = 9 litres
Let the quantity of water be x.
According to the question;
⇒ 21/(9 + x) = 3/7
⇒ 49 = 9 + x
⇒ x = 40 litres
∴ The added quantity of water is 40 litres.
The ratio of milk and water in the mixture is 7 : 3.
The new ratio of milk and water in the mixture is 3 : 7
In the question, the quantity of milk is same in both the case.
Make the milk quantity same
In initial mixture
⇒ (7 : 3) × 3 = 21 : 9
In final mixture
⇒ (3 : 7) × 7 = 21 : 49
The added quantity of water = 49 - 9 = 40 litres.
∴ The added quantity of water is 40 litres.