Question

Example1: Milk and water are mixed in a vessel in the ratio 7 : 22 and in another vessel in the ratio
21 : 37. In what ratio should the two be mixed to get milk and water in the ratio 25 : 62 in the resultant mixture?

Answer 1

hi..
let the ratio be x of 7:22 and y of 21:37..
just pick one of the two in 25:62  now..
so 7x/29 + 21y/58 = 25(x+y)/87
simplify by getting denominator same
7*6x+21y*3=50x+50y......42x+62y=50x+50y
8x = 12y.........
x/y=12/8=3/2