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Algebra: Mixture Problems

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Videos, worksheets, solutions, and activities to help Algebra students learn about mixture problems.
How to solve mixture word problems in two variables by writing a system of equations?

Mixture Word problem
Example: to get 1000 gallons of a mixture that was 56% alcohol, it was necessary to mix a quantity of 20% alcohol solution with a quantity of 80% alcohol solution. How much of each are required?
Example: How many liters of a 64% glycol solution must be added to a 77 liters of a 23% glycol solution to get a 42% glycol solution?

Solving a Mixture Problem using 2 variables
This video shows how to solve the following mixture problem using algebra by writing a system of equations with 2 variables.
Problem: Mia wants to make a punch by mixing some apple juice costing $2.25 per quart with cranberry juice costing $3.25 per quart. How many quarts of each should she use if she wants to make 100 quarts costing $2.50 per quart?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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