Multiple choice

Milk and water are mixed in the vessels A and B in the ratios 5:2 and 8:5 respectively. In what proportion should quantities be taken from the two vessels so as to form a mixture containing milk and water in the ratio 9:4?

  1. 7:2

  2. 5:2

  3. 2:7

  4. 1:7

  5. None of these

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

Using allegation method: Milk fraction in A = 5/7, in B = 8/13, target = 9/13. Taking x from A and y from B: (5x/7 + 8y/13) / (2x/7 + 5y/13) = 9/4. Solving gives x:y = 7:2.