Knowee
Questions
Features
Study Tools

A mixture contains 40% water and rest milk. 20 litres from the mixture is placed with same quantity of milk. If the ratio of quantity of milk to that of water in the resultant mixture is 7:4 then find the initial quantity of mixture.

Question

A mixture contains 40% water and rest milk. 20 litres from the mixture is placed with same quantity of milk. If the ratio of quantity of milk to that of water in the resultant mixture is 7:4 then find the initial quantity of mixture.

🧐 Not the exact question you are looking for?Go ask a question

Solution

Step 1: Let's assume the initial quantity of the mixture is x litres.

Step 2: As the mixture contains 40% water, it means it contains 60% milk. So, the quantity of milk in the mixture is 60% of x, which is 0.6x litres.

Step 3: 20 litres of the mixture is removed. This means 40% of 20 litres of water is removed (which is 8 litres) and 60% of 20 litres of milk is removed (which is 12 litres).

Step 4: After removing 20 litres, the quantity of milk left in the mixture is 0.6x - 12 litres.

Step 5: Now, 20 litres of milk is added to the mixture. So, the total quantity of milk in the mixture becomes 0.6x - 12 + 20 = 0.6x + 8 litres.

Step 6: The total quantity of water in the mixture remains the same as no water is added or removed after the initial removal. So, the quantity of water is x - 20 litres.

Step 7: According to the problem, the ratio of the quantity of milk to the quantity of water in the resultant mixture is 7:4. So, we can write the equation as (0.6x + 8) / (x - 20) = 7 / 4.

Step 8: Solving this equation, we get x = 80 litres. So, the initial quantity of the mixture was 80 litres.

This problem has been solved

Similar Questions

When one litre of water is added to a mixture of milk and water, the new mixture contains 25% of milk. When one litre of milk is added to the new mixture, then the resulting mixture contains 40% milk. What is the percentage of milk in the original mixture?

A container has a mixture of milk and water in the ratio 5:3. If 4 liters of the mixture are replaced with 4 liters of milk, the new ratio becomes 7:3. What is the initial quantity of the mixture? Options 35 liters 25 liters 20 liters 30 liters

A vessel contains a mixture of milk and water in the respective ratio of 5 : 1. 18 liters of mixture was taken out and replaced with the same quantity of milk so that the resultant ratio between the quantities of milk and water in the mixture becomes 7 : 1 respectively. If 28 liters of the mixture is again taken out from the vessel, what is the quantity (in liters) of water that should be added to make the quantity of milk 70% in the mixture

If the ratio of milk and water in a mixture is 7: 5. We withdraw 9 lt mixture and added same quantity of water to the mixture, then ratio becomes 1: 1. Find initial quantity of milk.A] 36.75 lt B] 22.15 lt C] 17.50 lt D] 21.35 ltOptions :ABCD

A mixture contains milk and water in the ratio 5:1. On adding 5 litres of water, the ratio of milk and water becomes 5:2. The quantity of milk in the original mixture is ?a.25 litresb.32.5litresc.16 litresd.22.75 litres

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.