In two vessels A and B, the spirit and water are in the ratio of 5 : 2 and 7:6 respectively. The ratio in which these are mixed to obtain new mixture which contains spirit and water in the ratio 3 : 2 is

Explanation

Let x and y quantities mixed of vessels A and 6 respectively. 5 5 .-. Spirit in A =-xx = -x Water in A = 5 + 2 2 2 X X = -X 5 + 2 7 and Spirit in B = 7 x y = — y 7 + 6 13 Water in 6 = 6 x y = — y 7 + 6 13 According to the question, Spirit in A and B _ 3 Water in A and 6 2 5 7 7 13 -3 2 6 2 —x + —y ‘L 7 13 65x + 49y _ 3 26x+ 42y 2 => 130x + 98y = 78x + 126y => 52x = 28y x _ 28 x _ 7 y 52 y 13 => x : y = 7 :13