Multiple choice

A chemist has two solutions: one with 12% acid and another with 28% acid. If these solutions are mixed in the ratio 3 : 5, what is the percentage of acid in the resulting mixture?

  1. 19%

  2. 22%

  3. 25%

  4. 28%

  5. 29%
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B Correct answer
Explanation

Weighted average = (3 * 12 + 5 * 28) / (3 + 5) = (36 + 140) / 8 = 176 / 8 = 22%.

AI explanation

Using the weighted average formula, the percentage of acid in the resulting mixture is calculated as ((12 * 3) + (28 * 5)) / (3 + 5). The total parts in the mixture are 3 + 5 = 8 parts. Calculating the numerator gives 36 + 140 = 176, and dividing this by 8 gives an acid percentage of 22 percent.

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