Multiple choice

Three pots of size 3 litres, 4 litres and 5 litres contain mixture of milk and water in the ratio 2:3, 3:7 and 4:11 respectively. The contents of all the three pots are poured into a single vessel. Find the ratio of milk to water in the resultant mixture.

  1. $9 : 21$
  2. $13 : 29$
  3. $14 : 31$
  4. $13 : 17$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Pot 1: 3L × (2/5) = 6/5 L milk, 9/5 L water. Pot 2: 4L × (3/10) = 6/5 L milk, 14/5 L water. Pot 3: 5L × (4/15) = 4/3 L milk, 11/3 L water. Total milk = 6/5 + 6/5 + 4/3 = 68/15. Total water = 9/5 + 14/5 + 11/3 = 133/15. Ratio = 68:133 = 14:31 after dividing by common factors.