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Alligation & Mixture Calculator
A tool for solving mixture problems

Alligation Calculator

Calculate the mixture proportions using the alligation method

Results

Enter values and click Calculate to see results

Understanding Alligation

Alligation is a method used to determine the ratio in which components of known concentrations must be mixed to achieve a desired concentration. It follows these principles:

  • The target concentration must fall between the two component concentrations.
  • The ratio of parts is determined by the difference between concentrations.
  • The quantity of a component is inversely proportional to the difference between its concentration and the target.

What is Alligation?

Understanding the principles of mixture calculations

Alligation is a mathematical method used to determine the proportions in which substances of different concentrations should be mixed to achieve a desired final concentration.

Common Applications:

  • Pharmacy: Preparing solutions with specific drug concentrations
  • Chemistry: Creating buffer solutions or dilutions
  • Finance: Calculating weighted averages or blended rates
  • Agriculture: Mixing fertilizers to achieve desired nutrient content
  • Food Industry: Recipe standardization and mixing ingredients

How It Works:

The alligation method uses a cross multiplication approach:

Component 1
Concentration 1
→
Part of Component 2
(Target - Conc. 1)
Component 2
Concentration 2
→
Part of Component 1
(Conc. 2 - Target)

Working Example:

If you need to mix a 10% solution and a 30% solution to create a 25% solution:

Component 1: 10%
Component 2: 30%
Target: 25%
Part of Component 2: 15 parts
Part of Component 1: 5 parts
Ratio: 1 : 3

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