Two vessels A and B contain a mixture of milk and water in the ratio 4 : 5 and 5 : 1. If both vessels are mixed in ratio 5 : 2. Find the ratio of milk and water in new mixture.

5 : 4

          A    :    B

I   →   4    :     5   →   9) × 4 × 5

II  →   5    :     1   →   6) × 6 × 2

We multiplied both ratios with 6 and 5 for making quantity equal and with 5 and 2 for asked quantity.

So,     A    :    B

         80   :    100

         60   :    12    

        140   :    112 = 5 : 4