Multiple choice

How many ml of water must be added to $48$ ml of alcohol to make a solution that contains $25$% alcohol?

  1. $48$
  2. $64$
  3. $144$
  4. $192$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the amount of water added. Total volume = 48 + x. Alcohol content is 48 ml. We want 48 / (48 + x) = 0.25. 48 = 0.25 * (48 + x) = 12 + 0.25x. 36 = 0.25x. x = 36 / 0.25 = 144.

AI explanation

Using the percentage formula, a 25% alcohol solution means alcohol is 1/4 of the total volume. Since the total volume must be 4 times the 48 ml of alcohol, the final solution is 192 ml. Subtracting the initial 48 ml of alcohol from this total gives 144 ml of water required.

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