Multiple choice

We have two solutions of milk namely A and B. Solution A contains milk and water in the ratio of 2 : 3 and solution B contains the same in the ratio 5 : 1. In what ratio should the solutions A and B be mixed, such that new solution contains milk and water in the ratio 2 : 1?

  1. 2 : 3

  2. 1 : 3

  3. 1 : 8

  4. 5 : 8

  5. 3 : 8
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solution A: 2/5 milk. Solution B: 5/6 milk. Target: 2/3 milk. Alligation: (5/6 - 2/3) : (2/3 - 2/5) = (1/6) : (4/15) = 5/30 : 8/30 = 5 : 8.

AI explanation

By the Method of Alligation, find the proportion of milk in each mixture: solution A has 2 divided by 5, solution B has 5 divided by 6, and the desired mixture has 2 divided by 3. The ratio of solution A to solution B is calculated as (5/6 minus 2/3) : (2/3 minus 2/5). Solving this gives (1/6) : (4/15), which simplifies by multiplying by 30 to get the final ratio of 5 to 8.

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