Mixture Problems - Algebra


These lessons, with videos, examples and step-by-step solutions, help Algebra students learn about mixture problems.




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How to solve mixture word problems for example, adding two acid solutions together, or adding water to a sugar solution?

Solving a Mixture problem with Algebra

Example:
How many liters of a 10% salt solution should be added to 80 liters of a 35% salt solution to obtain a mixture that is 30% salt solution?

Mixture Word Problems - Algebra Help

Example:
How many gallons of pure alcohol should be added to 20 gallons of a 15% alcohol solution to obtain a mixture that is 25% alcohol?




Mixture Problems

Examples:

  1. Imagine you have 6 gallons of fruit punch. It is 25% soda and 75% juice. If you wanted to contain only 60% juice, how much soda would you have to add?
  2. A restaurant has come pancake batter that is too thin. It weighs 12 kilograms and contains 85% flour. How many kilograms of flour should be added so that the mixture is 90% flour?
  3. A scientist needs 120 oz of a solution that is 52% acid. She must use existing solutions of 60% acid and 36% acid. How much of each should be mixed together to obtain her 20 oz of 53% acid?

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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