Question
The concentration of three wines A, B and C are 10%, 20%
and 30%, respectively. They are mixed in the ratio 2 : 3 : x resulting in a 23% concentration solution. Find the value of x.Solution
The concentration of three wines a, b, and c are 10%, 20%, and 30% respectively. they are mixed in the ratio of 2:3:x Let say wines a, b & care mixed in 20k, 30k & 10kx Total mixture = 20k + 30k + 10kx = 10k(5 + x) Wines are. a = (10/100)20k = 2k b = (20/100)30k = 6k c = (30/100)10kx = 3kx Total wine = 2k + 6k + 3k x = k (8 + 3x) resulting in a 23% concentration of solution = 100×k(8 + 3x) / 10k(5 + x) = 23 = 10(8 + 3x) = 23(5 + x) = 80 + 30x = 115 + 23x = 7x = 35 x = 5
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