Question

Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1 ?​

Answer 1

(A) 2:3 (B) 4:3 (C) 3:2 (D) 3:4 (E) 1:1.

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Answer 2

Answer:

Let the required ratio be x : y

Liquid A in x litres of mixture in container 1 = 5x/6 litres

Liquid B in x litres of mixture in container 1 = x/6 litres

Liquid A in y litres of mixture in container 2 = y/4 litres

Liquid B in y litres of mixture in container 2 = 3y/4 litres

Therefore, Liquid A : Liquid B = (5x/6 + y/4) : (x/6 +3y/4)

Given, (5x/6 +y/4) ÷ (x/6 + 3y/4) = 1/1

☞ 5x/6 + y/4 = x/6 + 3y/4

☞ 5x/6 – x/6 = 3y/4 – y/4

☞ 4x/6 = 2y/4

☞ 2x/3 = y/2

☞ x/y = 3/4

In 3 : 4 ratio the contents of the two contents be mixed so as to obtain a mixture of A and B in the ratio 1 : 1