Twenty caravans are travelling across the desert one day apart. The first carvan reached the oasis and the camels drank half of the water in the pool. On the second day, the second carvan reached the oasis and the camels drank one-third of the water that was left. On the third day, the camels in the third carvan drank one quarter of the water that was left. On the first day the pool contained 1050 m3 of water. How much water was left after the 20th carvan passed through ?
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Step-by-step explanation:
The first caravan left half of the water. The second caravan left
\frac{2}{3} \times \frac{1}{2} = \frac{1}{3} \\ \frac{3}{4} \times \frac{1}{3} = \frac{1}{4}
of the water. Continuing the pattern, the 20th caravan leaves
\frac{1}{21}
or 50 m3 of water.
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