Multiple choice

In one glass milk and water are mixed in the ratio 3 : 5 and in another glass they are mixed in the ratio 6 : 1 . In what ratio should the contents of the two glasses be mixed together, so that the new mixture contains milk and water in the ratio 1 : 1 ?

  1. $20 : 7$
  2. $8 : 3$
  3. $27 : 4$
  4. $25 : 9$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Glass 1 has milk:water = 3:5, so milk fraction = 3/8. Glass 2 has milk:water = 6:1, so milk fraction = 6/7. For final 1:1 ratio, milk fraction = 1/2. Using alligation: mix 3/8 and 6/7 to get 1/2. The ratio is (6/7 - 1/2):(1/2 - 3/8) = (5/14):(1/8) = 20:7. Option A is correct.