What formula is used to calculate the amount of liquid in a solution?

Study for the Accuplacer Advanced Algebra and Functions Test. Use flashcards and multiple choice questions, each question offers hints and explanations. Ace your exam preparation!

The formula that effectively calculates the amount of liquid in a solution is based on the relationship between the percentage of the solution and the total volume of the solution. By multiplying the percentage of the solution by the volume of the solution, you determine the actual quantity of the liquid present.

This is derived from the definition of percentage, which indicates how much of the total volume is made up of the component in question. For instance, if you have a solution that is 30% alcohol and the total volume of the solution is 1 liter, you can calculate the amount of alcohol by taking 30% of 1 liter, which equals 0.3 liters. This approach is straightforward and directly yields the amount of the liquid based on its proportion of the total.

Moving toward the other formulas, dividing the volume by the percentage does not yield a meaningful quantity in this context. Similarly, calculating the amount of liquid by dividing it by the percentage does not directly link to finding the actual volume of liquid in a given solution. Finally, adding volume to percentage is not conceptually valid, as it mixes two different units: volume and a fractional representation (percentage), leading to a nonsensical result.

Thus, the multiplication of the percentage by the volume stands correct

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