APGP Revision Worksheet Q2

Liquid is kept in containers, which due to evaporation and ongoing chemical reactions, at the end of each month the volume of the liquid in these containers reduces by \(10\%\) compared with the volume at the start of the same month.

One such container is filled with \(250\) litres of liquid.

1. Show that the volume of the liquid in the container at the end of the second month is \(202.5\) litres.
2. Find the volume of the liquid in the container at the end of the twelfth month.

At the start of each month a new container is filled up with \(250\) litres of liquid, so that at the end of twelve months there are \(12\) containers with liquid.

3. Use an algebraic method to calculate the total amount of liquid in the \(12\) containers at the end of \(12\) months.