Question

For a chemistry experiment, Agatha needs
50 milliliters of 20% acetic acid solution.
The laboratory only has 10% and 50%
acetic acid solutions. Agatha plans to make
the 20% acetic acid solution by mixing
together appropriate amounts of the two
solutions. Determine the amounts of 10%
and 50% acetic acid solution that should be
mixed to make 50 milliliters of 20% acetic
acid solution.

Answer 1

Agatha needs 12.5 milliliters of 50% solution, and 37.5 milliliters of 10% solution.

Since for a chemistry experiment, Agatha needs 50 milliliters of 20% acetic acid solution, and the laboratory only has 10% and 50% acetic acid solutions, and Agatha plans to make the 20% acetic acid solution by mixing together appropriate amounts of the two solutions, to determine the amounts of 10% and 50% acetic acid solution that should be mixed to make 50 milliliters of 20% acetic acid solution, the following calculation must be performed:

• 50 x 0.2 = 10
• 50 x 0.5 + 0 x 0.1 = 25
• 25 x 0.5 + 25 x 0.1 = 15
• 10 x 0.5 + 40 x 0.1 = 9
• 15 x 0.5 + 35 x 0.1 = 11
• 12.5 x 0.5 + 37.5 x 0.1 = 10

Therefore, Agatha needs 12.5 milliliters of 50% solution, and 37.5 milliliters of 10% solution.

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