8 liters are drawn from a cask full of wine and is then filled with water. This operation is performed three more times . The ratio of the quantity of wine now left in cask to that of the water is 16:65. How much wine did the cask hold originally?
Pick:
A) 12  B) 24  C) 36  D) 42  E) 56
Let the quantity of wine in the cask originally be x liters   quantity of wine left in cask after 4 operations = x(1 - 8/x)^4 liters   x(1 - 8/x)^4 /x = 16/81   (1-8/x)^4 = (2/3)^4   x = 24   Answer is 24
<result>B</result>
8 liters are drawn from a cask full of wine and is then filled with water. This operation is performed three more times . The ratio of the quantity of wine now left in cask to that of the water is 16:65. How much wine did the cask hold originally?