The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is
A. 2:1 B. 5:1 C. 99:61 D. 227:133

• Proportion of milk in 3 samples is 2/3, 3/5, 5/8.
  
  Proportion of water in 3 samples is 1/3, 2/5, 3/8.
  
  Since equal quantities are taken,
  
  Total proportion of milk is 2/3 + 3/5 + 5/8 = 227/120
  
  Total proportion of water is 1/3 + 2/5 + 3/8 = 133/120
  
  Proportion of milk and water in the solution is 227:133
• 12 years agoHelpfull: Yes(70) No(3)
• D. 227:133
  
  for simplicity
  suppose vol of each sample is 120 units.
  Milk and water in first sample = 80:40
  Milk and water in first sample = 72:48
  Milk and water in first sample = 75:45
  
  Ratio of milk and water in final mixture = 227: 133 ... option D
• 13 years agoHelpfull: Yes(13) No(14)
• We are essentially replacing water in the mixture with pure milk.
  Let WO be the amount of water in the mixture originally = 8 litres.
  Let WR be the amount of water in the mixture after the replacements have taken place.
  Then, WRWO = (1−RM)n, where R is the amount of the mixture replaced by milk in each of the steps, M is the total volume of the mixture and n is the number of times the cycle is repeated.
  Hence, WRWO = (1−1020)2 = (12)2 = 14
  Therefore, WR = WO4 = 84 = 2 litres.
  WR is the quantity of water in the mixture after the process is done twice.
  So, the final quantity of water in the 20-litre mixtures is 2 litres.
  Hence, the mixture will have 18 litres of milk and 2 litres of water.
  18:2
  9:1
• 5 years agoHelpfull: Yes(0) No(0)
• D.227:133
• 4 years agoHelpfull: Yes(0) No(0)