Question

Description : Twenty caravans are
travelling across the desert one day
apart. The first caravan reached the oasis
and the camels drank half of the water in
the pool. On the second day, the second
caravan reached the oasis and the camel
drank one-third of the water that was left.
On the third day, the camels in the third
caravan drank one-quarter of the water
that was left. On the first day the pool
contained 1050m² of water. How much
'water was left after the 20th caravan
passed through
HINT: Observe the pattern and calculate.​

Answer 1

Answer:

The first caravan left half of the water. The second caravan left 

\begin{lgathered}\frac{2}{3} \times \frac{1}{2} = \frac{1}{3} \\ \frac{3}{4} \times \frac{1}{3} = \frac{1}{4}\end{lgathered}32×21=3143×31=41

of the water. Continuing the pattern, the 20th caravan leaves 

\frac{1}{21}211

 or 50 m3 of water.