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- How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?
Question 1:
How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it? A. 5 liters
Feedback 30 liters of the mixture has milk and water in the ratio 7 : 3. i.e. the Solution has 21 liters of milk and 9 liters of water.
When you add more water, the amount of milk in the mixture remains constant at 21 liters.
In the first case, before addition of further water, 21 liters of milk accounts for 70% by volume.
After water is added, the new mixture contains 60% milk and 40% water.
Therefore, the 21 liters of milk accounts for 60% by volume.
Hence, 100% volume =21/0.6=35 litres.
We started with 30 liters and ended up with 35 liters.
Therefore, 5 liters of water was added.
When you add more water, the amount of milk in the mixture remains constant at 21 liters.
In the first case, before addition of further water, 21 liters of milk accounts for 70% by volume.
After water is added, the new mixture contains 60% milk and 40% water.
Therefore, the 21 liters of milk accounts for 60% by volume.
Hence, 100% volume =21/0.6=35 litres.
We started with 30 liters and ended up with 35 liters.
Therefore, 5 liters of water was added.
B. 7 liters
C. 10 liters
D. None of these
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