A cask is filled with 45 gallons of wine. Nine gallons are removed and the cask is refilled with water. The nine gallons of the mixture are removed and the cask is again refilled with water. What is the ratio of water to wine in the final mixture?

• therz a formula with this problem (p-q/p)^n=k(k is final mixture) n= number of times the process is repeated. P=initial concetration q=mixture removed
• 11 years agoHelpfull: Yes(4) No(0)
• from 45 gallons of wine, if we replace nine gallons of wine with water, ratio becomes 36:9 or 4:1. from this mixture same process is repeated, then ratio becomes 36-7.2:9+9-1.8. solving 16:9.
• 11 years agoHelpfull: Yes(3) No(3)
• 45(1-9/45)^2=144/25 ANS
  
• 10 years agoHelpfull: Yes(3) No(0)