Multiple choice

A vessel is fully filled with a special liquid. Four litres of liquid is drawn out of this vessel and is replaced with water. If the ratio of the special liquid to the water becomes 1 : 2, then what is the capacity the vessel?

  1. 8 litres

  2. 6 litres

  3. 10 litres

  4. 14 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let V be capacity. After 4L removed, liquid = V-4. Water added = 4. Ratio (V-4)/4 = 1/2. 2V - 8 = 4. 2V = 12. V = 6.

AI explanation

Let the capacity of the vessel be x litres. Four litres of liquid is replaced by water, leaving 4 litres of water and x minus 4 litres of the special liquid. The new ratio of special liquid to water is x minus 4 to 4. Since this ratio equals 1 to 2, we write 2 times x minus 4 equals 4. Solving this gives x equals 6 litres.

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