. A cask is filled with alcohol and water in the ratio 5”3 Sixteen gallons of this are drawn off and the cask is filled with water and then the proportion of alcohol to water becomes 3:5 How many gallons does the cask hold ?

1] 32 2] 36 3] 38 4] 40

• can u please explain dis again ..i dint get the explanation dat u have given
• 11 years agoHelpfull: Yes(3) No(0)
• 
  40 ltrs .. ratio of alcohal and water is 25:15
  Initially when Sixteen gallons of this are drawn off
  ratio of alcohal and water is 15:9
  and the cask is filled with water 15:25 which is 3:5
  
• 11 years agoHelpfull: Yes(2) No(1)
• let the ratio of alcohol to water be 5x : 3x
  Drawing off 16 lts the ratio of alcohol and water emoved will be 5/8*16 and 3/8*16 ie 10 and 6 gallons of alcohol and water respectively
  
  remaining alcohol and water will be 5x - 10 : 3x - 6
  Now 16 lts of water is added to it
  5x - 10 : 3x - 6 + 16 :: 3:5
  5x-10 : 3x + 10 :: 3:5
  so
  (5x-10)*5 = (3x+10)3
  25x - 50 = 9x + 30
  16x = 80
  8x = 40.
  
  The cask holds 8x gallons ie 40 gallons
  
• 10 years agoHelpfull: Yes(1) No(1)