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A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

Question

A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

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Solution 1

Sure, let's solve this step by step:

Step 1: The container initially contains 40 litres of milk.

Step 2: 4 litres of milk is taken out and replaced by water. So, the amount of milk left in the container is 40 - 4 = 36 litres.

Step 3: The process is repeated, so now the amount of milk left is 36 litres * (36/40) = 32.4 litres.

Step 4: The process is repeated one more time, so the final amount of milk left is 32.4 litres * (36/40) = 29.16 litres.

So, the container now contains approximately 29.16 litres of milk.

This problem has been solved

Solution 2

Sure, let's solve this step by step:

Step 1: Initially, the container has 40 litres of milk.

Step 2: After the first operation, 4 litres of milk are taken out, leaving 36 litres of milk. The container is then filled up with 4 litres of water.

Step 3: Now, the milk to total mixture ratio is 36/40. When 4 litres are taken out again, this ratio applies to the 4 litres as well. So, 4 * (36/40) = 3.6 litres of milk are taken out and 0.4 litres of water. This leaves 36 - 3.6 = 32.4 litres of milk and the container is filled up with 4 litres of water again.

Step 4: Now, the milk to total mixture ratio is 32.4/40. When 4 litres are taken out again, this ratio applies to the 4 litres as well. So, 4 * (32.4/40) = 3.24 litres of milk are taken out and 0.76 litres of water. This leaves 32.4 - 3.24 = 29.16 litres of milk.

So, after the process is repeated three times, the container now contains 29.16 litres of milk.

This problem has been solved

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