Multiple choice

Two containers contain a mixture of milk and water. In the first container, the concentration of milk is 33.33\%, while in the second container, the concentration of milk is 25\%. 5 liters of container 1 is mixed with 7 liters of container 2. Find the ratio of milk and water in the resultant mixture.

  1. $41:105$
  2. $41:103$
  3. $53:105$
  4. $43:98$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Container 1: 5L, milk = 33.33% = 1/3. Milk = 5/3 = 1.6667L, water = 10/3 = 3.3333L. Container 2: 7L, milk = 25% = 1/4. Milk = 7/4 = 1.75L, water = 21/4 = 5.25L. Total milk = 5/3 + 7/4 = (20 + 21)/12 = 41/12 L. Total water = 10/3 + 21/4 = (40 + 63)/12 = 103/12 L. Ratio milk:water = 41:103. This matches option B.