Question
span >A vessel contains mixture of milk and water mixed in the ratio 8:3, respectively. 121 litres of the mixture is replaced with 50 litres of water such that the quantities of milk and water in the resultant mixture become equal. Find the initial quantity of mixture in the vessel.
Solution
Let the initial quantities of milk and water in the vessel be 8x litres and 3x litres respectively.
121 litres mixture contains 88 litres milk and 33 litres water.
According to question:
8x – 88 = 3x – 33 + 50
5x = 105
x = 21
So the initial quantity of mixture = 11 × 21 = 231 litres
More Mixture Questions
- In a mixture of milk & water, 60 litres water is mixed due to which ratio changes from 3 : 4 to 1 : 2. Find initial quantity of mixture. (in litres)
- There are two containers having equal quantities of mixtures of two chemical types A and B. The 1st container contains 30% of type A chemical whereas the 2...
- A 200 ml mixture of milk and water has a milk to water ratio of 1:4. If 'x' ml of milk is added such that the new ratio is 1:1, find 'x'.
- A container X has (20 + x) litres of pure milk. Another container Y has 40 litres of a solution with 30% milk and the rest water. All the liquid from both ...
- In a vessel, the ratio of milk to water is 4:3. After removing 105 ml of mixture and adding 210 ml of water, the quantity of water becomes 125% more than m...
- Mixtures A and B have milk and water in ratio 3:5 and 2:3 respectively. 40 ml from A and 45 ml from B are mixed. Find the percentage of water in the final ...
- A container initially contains 40 liters of petrol and an unknown quantity of diesel. Then 25% of the mixture is removed and poured into another container ...
- A vessel contains 270 litres of milk and water in the ratio of 5:4. If 15 litres of milk is added to the mixture, then find the ratio of milk to water in t...
- A 40 L mixture of milk and water has milk:water = 3:2. How much water should be added to make milk:water = 3:4?
- 150 litres of mixture ‘A’ has 90 litres milk and rest water. Find the total quantity of mixture ‘B’ if it contains 20% more milk and 20% less water than mi...
