Question

A container is filled with a mixture of two liquids A and B in the ratio 3 : 4 . If 7 liters of liquid A is added to the container the new ratio of liquid A and B become 4 : 3. find the initial quantity of liquid A in the container :

• A. 12L
• B. 6L
• C. 9L
• D. 15L

Answer 1

Answer:

C. 9L

initial ratio A : B = 3 : 4 = 3X : 4X if 7 l of liquid a is added to the container new ratio = 4 : 3 ⇒ (3X + 7)/4X = 4X/3X ⇒ 9X + 21 = 16X 7X = 21 ⇒ X = 21/7 = 3 initial quantity of liquid A in the container = 3X = 9L