Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5.  Choose the correct choice from the following options:	A) 1:5	B) 2:5	C) 3:5	D) 4:5	E) 5:5
Let 1st vessel contains X liters of mixture of milk and water.   Milk in 1st vessel = 4/13x   Water in 1st vessel=9/13x   Let 2nd vessel contains Y liters of mixture of milk and water   Milk in 2nd vessel = 2/9y   Water in 2nd vessel =7/9y   Let the two mixture combine such that the milk to water ratio is 2:5   4x/13 + 2y/9 / 9x/13 +7/9y =2/5   36x+26y/81x+91y=2/5   180x+130y=162x+182y   18x=52y   x/y=26/9   Hence mixture from vessel 1 and vessel 2 should be mixed in the ratio 26/9 for milk and water to be in ratio 2:5   ANSWER:2:5
<result>B</result>
Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5.