Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

1. Equations & Inequalities

Linear Equations

College Algebra

1. Equations & Inequalities

Linear Equations

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1:47 minutes

Problem 5

Textbook Question

Solve each problem. If 120 L of an acid solution is 75% acid, how much pure acid is there in the mixture?

Verified step by step guidance

Identify the total volume of the solution, which is 120 L.

Recognize that the solution is 75% acid, meaning 75% of the total volume is pure acid.

Convert the percentage to a decimal by dividing by 100, so 75% becomes 0.75.

Multiply the total volume of the solution (120 L) by the decimal form of the percentage (0.75) to find the volume of pure acid.

The result of this multiplication will give you the amount of pure acid in the mixture.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Percentage

Percentage is a way of expressing a number as a fraction of 100. In this context, it indicates the concentration of acid in the solution. For example, a 75% acid solution means that 75 parts out of every 100 parts of the solution are pure acid. Understanding percentages is crucial for calculating the amount of pure substance in a mixture.

Volume

Volume refers to the amount of space that a substance occupies, typically measured in liters (L) or milliliters (mL). In this problem, the total volume of the acid solution is given as 120 L. Knowing the total volume allows us to calculate the actual quantity of pure acid present by applying the percentage concentration.

Mixture Calculation

Mixture calculation involves determining the quantities of different components in a solution based on their concentrations. To find the amount of pure acid in the solution, one multiplies the total volume of the solution by the percentage of acid (expressed as a decimal). This calculation is essential for solving problems related to mixtures in chemistry and algebra.