Question

A pot contains 40 litres of juice. how much juice will be there in the pot, if 4 litres of juice was removed and was replaced by water and this process was further repeated twice?

Answer 1

After repeating the process of removing 4 liters of juice and replacing it with water three times, there will be 29.16 liters of juice left in the pot.

Step-by-step explanation:

To determine how much juice will remain in the pot after the process of removing 4 liters of juice and replacing it with water is repeated three times in total, we can apply a mathematical approach. Originally the pot contains 40 liters of juice.

After the first iteration, we remove 4 liters of juice, which is 10% of the original 40 liters. So, 90% of the juice remains, which is 0.9 × 40L = 36L of juice. We then add 4 liters of water, bringing the total volume back to 40 liters, but now it's a mixture of 36 liters of juice and 4 liters of water.

Repeating this process means we take 10% of the juice out each time. So after the second iteration, there will be 0.9 × 36L = 32.4L of juice. Refill back to 40 liters with water again. After the third iteration, we have 0.9 × 32.4L = 29.16L of juice left in the pot.