Multiple choice

Solution A contains 12% alcohol by volume, and Solution B contains 18% alcohol. If 10 liters of Solution A are mixed with 20 liters of Solution B, what percentage of the resulting mixture is alcohol?

  1. 14%

  2. 15%

  3. 16%

  4. 17%

  5. 18%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total alcohol = (0.12 * 10) + (0.18 * 20) = 1.2 + 3.6 = 4.8 liters. Total volume = 10 + 20 = 30 liters. Percentage = (4.8 / 30) * 100 = 16%.

AI explanation

The total amount of alcohol in the mixture is the sum of the alcohol from Solution A and Solution B. The amount of alcohol from Solution A is 10 litres times 0.12, which is 1.2 litres. The amount of alcohol from Solution B is 20 litres times 0.18, which is 3.6 litres. The total alcohol is 1.2 plus 3.6, which equals 4.8 litres. The total volume of the resulting mixture is 10 plus 20, which is 30 litres. The final percentage of alcohol is 4.8 divided by 30 times 100, which equals 16 percent.

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