Question

A tank contains 10,000 litres of water when full. It begins to leak. After the first
day half of the water is lost. After the second day half of the remainder is lost.
After the third day half of the remainder from the second day is lost. This
continues, losing half of the remainder from the previous day. At the end of 5
days the leak is discovered.

• What fraction of the water has been lost?
• What fraction of the water remains?
• How much water has to be put back into the tank in order to fill it up?

Answer 1

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