Multiple choice

In 40 litres of a mixture, the ratio of alcohol to water is 3 : 2. How much quantity of water must be added to the mixture so as to make the ratio of alcohol to water 2 : 3?

  1. 15 litres

  2. 18 litres

  3. 20 litres

  4. 22 litres

  5. 24 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial alcohol is 24L and water is 16L. Let x be the water added: 24 / (16 + x) = 2 / 3. Solving gives 72 = 32 + 2x, so 2x = 40, x = 20.

AI explanation

The initial 40 litres of mixture contains alcohol and water in the ratio 3 to 2, meaning there are 24 litres of alcohol and 16 litres of water. By adding x litres of water, the new ratio of alcohol to water becomes 2 to 3, giving the equation 24 divided by (16 plus x) equals 2 divided by 3. Solving this equation yields 72 equals 32 plus 2x, which simplifies to 2x equals 40. Therefore, x equals 20 litres.

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