Multiple choice

6 litres of a 20% solution and 4 litres of a 60% solution are mixed. What percentage of the mixture is the solution?

  1. 36%

  2. 40%

  3. 24%

  4. 32%

  5. e) None of these
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A Correct answer
Explanation

Total amount of solution is 6 + 4 = 10 litres. The amount of pure solution is (0.20 * 6) + (0.60 * 4) = 1.2 + 2.4 = 3.6 litres. The percentage is (3.6 / 10) * 100 = 36%.

AI explanation

Using the weighted average method for mixtures, the total solute is (6 liters times 0.20) plus (4 liters times 0.60), which equals 1.2 liters plus 2.4 liters, yielding 3.6 liters of pure solution. The total volume of the final mixture is 6 liters plus 4 liters, equaling 10 liters. To find the final concentration, divide the total solute by the total volume and multiply by 100, giving (3.6 divided by 10) times 100, which equals 36%.

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