Multiple choice

A mixture contains milk and water in the ratio $5:1.$ On adding $5$ litres of water, the ratio of milk to water becomes $5:2.$ The quantity of milk in the original mixture is

  1. $16$ litres
  2. $22.75$ litres
  3. $25$ litres
  4. $32.5$ litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: M=5x, W=x. After adding 5L water: M=5x, W=x+5. Ratio 5x/(x+5) = 5/2. 10x = 5x + 25, 5x = 25, x = 5. Milk = 5x = 25 litres.

AI explanation

Let the initial quantities of milk and water be 5x and 1x respectively. After adding 5 liters of water, the new ratio becomes 5x divided by the sum of x and 5, which equals 5 divided by 2. Solving for x gives x equal to 5, so the original quantity of milk is 5x, or 25 litres.