Multiple choice

Two vessels of equal volume contain milk and water in ratios 1 : 3 and 2 : 1, respectively. If they are mixed together, what is the new ratio?

  1. 11 : 13

  2. 13 : 11

  3. 9 : 11

  4. 11 : 9

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Vessel 1: 1/4 milk, 3/4 water. Vessel 2: 2/3 milk, 1/3 water. Total milk = 1/4 + 2/3 = 11/12. Total water = 3/4 + 1/3 = 13/12. Ratio = 11:13.

AI explanation

Assume the common volume for each vessel is 12 units, based on the least common multiple of the total parts in their ratios (1+3 and 2+1). The first vessel has 3 units of milk and 9 units of water, and the second vessel has 8 units of milk and 4 units of water. When mixed, the total milk is 3 plus 8, which is 11 units, and the total water is 9 plus 4, which is 13 units. The new ratio of milk to water is 11 to 13.