a container has a capacity of 2 gallons and is full of spirit .4 gallons of spirit is drawn out and the container is again filled with water. this process is repeated 5 times. find out how much spirit is left in the resulting mixture finally?

• a container has a capacity of 2 gallons
  
  so, .4 gallons is 20% of a capacity. Now, when we remove 20% of spirit for the first time 80% of spirit is left --> when we remove .4 gallons of the mixture for the second time, or again 20% of the capacity, we still remove 20% of the remaining spirit with it (this .4 gallons of the mixture, which is 20% of the capacity, contains 20% of the remaining spirit), so again 80% of the spirit is left... So every time we remove .4 gallons, we re move 20% of the remaining spirit and 80% is left. So after 5 removals there will be 2*0.08^5 gallons of spirit left.
  
• 11 years agoHelpfull: Yes(1) No(1)