Multiple choice

A container has a mixture of two liquids A and B in the ratio 4 : 1. When 5 liters of the mixture is removed and replaced with 5 liters of liquid B, the ratio becomes 2 : 3. Find the initial quantities of liquids A and B in the mixture.

  1. 8 liters and 2 liters

  2. 10 liters and 5 liters

  3. 12 liters and 3 liters

  4. 16 liters and 4 liters

  5. 20 liters and 5 liters

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial ratio 4:1. Let A=4x, B=x. Removing 5L removes 4L of A and 1L of B. Remaining: A=4x-4, B=x-1. Adding 5L of B: A=4x-4, B=x+4. Ratio (4x-4)/(x+4) = 2/3. 12x-12 = 2x+8 => 10x=20 => x=2. A=8, B=2.