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Question 32
Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?
Solution
Fraction of A in contained 1 = $$\frac{5}{6}$$
Fraction of A in contained 2 = $$\frac{1}{4}$$
Let the ratio of liquid required from containers 1 and 2 be x:1-x
x($$\frac{5}{6}$$) + (1-x)($$\frac{1}{4}$$) = $$\frac{1}{2}$$
$$\frac{7x}{12}$$ = $$\frac{1}{4}$$
=> x = $$\frac{3}{7}$$
=> Ratio = 3:4
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