Twenty caravans are traveling 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 camels 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 1050 m³ of water. How much water was left after the 20th caravan passed through?

leftafter the 20th caravan passed through the pool is 50 m³. Usingfractions, the required value is obtained.## What are fractions?

fractionis a rational number that has the required part and whole part of an object.## Calculation:

totalvolumeof the water in the pool is W = 1050 m³Twentycaravans are traveling across the desert one day apart.firstday, the camel consumed half of the water in the pool.remainingwater left in the pool = W – W/2 = W/2 …(i)secondday, the camel consumed one-third of the water in the pool.remainingwater left in the pool = W/2 – W/6 = 4W/12 = W/3 …(ii)thirdday, the camel consumed one-quarter of the water in the pool.remainingwater left in the pool = W/3 – W/12 = 3W/12 = W/4 …(iii)generalformwe can write here is W/(n + 1)remainingwaterleft in the pool = W/(20 + 1) = W/21remainingwater left in the poolafterthe 20th caravan passed through = 1050/21 = 50 m³fractionshere: