Brainstorm
A container contains 100 liters of milk .from this 10 liters milk was taken out and replaced by same quantity of water. This process was repeated further 4 times.
How much milk is now in the container (answer in nearest integer).
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1 solution
Moderator note:
Wonderful. Bonus question: If the process was repeated for more than 4 times, at what point would the container contains more water than milk?
At any one time, the total volume is 100 litres so by taking away 10 litres of milk or the milk-water mixture and replacing it with 10 litres of water, the amount of milk gets reduced by 10% each time. In other words, the amount of milk is 90% of what it was before the replacement. 0 . 9 5 = 0 . 5 9 0 4 9 = 0 . 5 9 (to 2 dp). Remember to raise 0.9 to the power of 5 and NOT 4 as the question says FURTHER 4 times which means 4 times IN ADDITION to the initial.