Related Topics:

More Mixture Word Problems

More Algebra Topics

Mixture Problem (Adding to the Solution)

Mixture Problem (Removing from the Solution)

Mixture Problem (Replacing the Solution)

Mixture Problem (Mixing Quantities of Different Costs)

### Adding To The Solution

**
Mixture Problems**

Some word problems using systems of equations involve mixing two quantities with different prices. To solve mixture problems, knowledge of solving systems of equations. is necessary. Most often, these problems will have two variables, but more advanced problems have systems of equations with three variables. Other types of word problems using systems of equations include rate word problems and work word problems.

Algebra - Word Problems - Mixture Problems

In this video, we're going to cover the method used to obtain our desired concentration of an acid solution from two solutions of different concentrations.

Example: How many gallons of a 30% acid-solution must be added to how many gallons of a 70% acid-solution to make 50 gallons of a 40% acid-solution?
Example: A 10% alcohol solution and a 40% alcohol solution are mixed to form 80ml of a 35% solution. How much of each mixture was needed?

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

More Mixture Word Problems

More Algebra Topics

Mixture Problem (Adding to the Solution)

Mixture Problem (Removing from the Solution)

Mixture Problem (Replacing the Solution)

Mixture Problem (Mixing Quantities of Different Costs)

Mixture problems are word problems where items or quantities of different values are mixed together.

We recommend using a table to organize your information for mixture problems. Using a table allows you to think of one number at a time instead of trying to handle the whole mixture problem at once.

Mixture Problems: Example:

John has 20 ounces of a 20% of salt solution, How much salt should he add to make it a 25% solution?

Solution:

Fill in the table with information given in the question.

Some word problems using systems of equations involve mixing two quantities with different prices. To solve mixture problems, knowledge of solving systems of equations. is necessary. Most often, these problems will have two variables, but more advanced problems have systems of equations with three variables. Other types of word problems using systems of equations include rate word problems and work word problems.

Algebra - Word Problems - Mixture Problems

In this video, we're going to cover the method used to obtain our desired concentration of an acid solution from two solutions of different concentrations.

Example: How many gallons of a 30% acid-solution must be added to how many gallons of a 70% acid-solution to make 50 gallons of a 40% acid-solution?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.