The ratio of Milk to Water in Solution \(1\) is \(4{:}1\) and ratio of Milk to Water in Solution \(2\) is \(3{:}1.\)

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The ratio of Milk to Water in Solution \(1\) is \(4{:}1\) and ratio of Milk to Water in Solution \(2\) is \(3{:}1.\) Both, solution \(1\) and \(2\) were mixed such that ratio of Milk to Water is \(77{:}23.\) Find the ratio in which two solutions were mixed?

A. \(2{:}3\)
B. \(6{:}2\)
C. \(3{:}4\)
D. \(1{:}1\)
E. \(4{:}5\)

OA A