A total of 14.8 litres of wine is taken from a barrel and then filled with water. This procedure is repeated three times more. The amount of wine left in barrel to the amount of water in the cask is 16:65. What was the initial capacity of the cask?
A. 18 litres
B. 24 litres
C. 32 litres
D. 42 litres
Answer:B
A total of 14.8 litres of wine is taken from a barrel and then filled with water. This procedure is repeated three times more. The amount of wine left in barrel to the amount of water in the cask is 16:65. What was the initial capacity of the cask?
A. 18 litres B. 24 litres C. 32 litres D. 42 litres
Explanation: Then, after four processes, the quantity of wine remaining in the barrel Equals x 1 - 8/x TO THE POWER 4 litres,x(1 - (8/x) x(1 - (8/x) x(1 - (8/x 16/81 TO THE POWER OF 4/x,2/3 TO THE POWER 4 = 1 - 8/x TO THE POWER 4=x - 8 /x = 2/x = ⅔,2x = 3x - 24=24 = x.