Question

Two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3, respectively. In what ratio must these mixtures be mixed to form a new mixture containing half milk and half water?

• A. 7:5
• B. 3:5
• C. 4:7
• D. 3:8

Answer 1

The correct option is A 7:5

Let, x litres of vessel A and y litres of vessel B are taken.
$\frac{4}{7}x+\frac{2}{5}y=\frac{1}{2}(x+y)\Rightarrow (\frac{1}{2}-\frac{4}{7})x=(\frac{2}{5}-\frac{1}{2})y\Rightarrow -\frac{1}{14}x=-\frac{y}{10}\Rightarrow x:y=\frac{7}{5}$