A container contains 40 liters of milk. From this container 8 litres of milk was taken out and replaced by water. This process was repeated further two times.How much water is now contained by the container?a.28 litresb.26.34 litresc.29.l6 litresd.20.48 litres
Question
A container contains 40 liters of milk. From this container 8 litres of milk was taken out and replaced by water. This process was repeated further two times.How much water is now contained by the container?a.28 litresb.26.34 litresc.29.l6 litresd.20.48 litres
Solution
The problem can be solved step by step as follows:
Step 1: The container initially contains 40 liters of milk. When 8 liters of milk is taken out, the container is left with 40 - 8 = 32 liters of milk.
Step 2: After replacing the 8 liters of milk with water, the container still has a total volume of 40 liters, but now it contains 32 liters of milk and 8 liters of water.
Step 3: The process is repeated, so 8 liters of the mixture (which is 20% of the total 40 liters) is taken out. Since the mixture is 20% water and 80% milk (from step 2), the 8 liters removed contains 20% * 8 = 1.6 liters of water and 80% * 8 = 6.4 liters of milk.
Step 4: After the removal, the container has 32 - 6.4 = 25.6 liters of milk and 8 - 1.6 + 8 = 14.4 liters of water.
Step 5: The process is repeated one more time. Again, 8 liters of the mixture is removed. This time, the mixture is 14.4/40 = 36% water, so the 8 liters removed contains 36% * 8 = 2.88 liters of water and 64% * 8 = 5.12 liters of milk.
Step 6: After the final removal, the container has 25.6 - 5.12 = 20.48 liters of milk and 14.4 - 2.88 + 8 = 19.52 liters of water.
So, the answer is 19.52 liters of water, which is not an option in the given choices. There might be a mistake in the problem or the choices given.
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