Alligation Mixture Calculator

Mix Solutions of Different Concentrations Easily

This calculator helps you determine the exact amounts of two solutions with different concentrations needed to achieve a desired final concentration. Enter the concentrations and, optionally, the total amount required.

Examples

See how to mix solutions using alligation with real-world examples.

Mixing Alcohol Solutions

Basic

Mix 5% and 20% alcohol solutions to get 12% alcohol, total 1000 mL.

Lower Concentration: 5

Higher Concentration: 20

Target Concentration: 12

Total Amount: 1000

Unit: %

Preparing a Saline Solution

Basic

Mix 0.9% and 10% saline to get 3% saline, total 500 mL.

Lower Concentration: 0.9

Higher Concentration: 10

Target Concentration: 3

Total Amount: 500

Unit: %

Mixing Sugar Solutions

Basic

Mix 10 g/L and 50 g/L sugar solutions to get 30 g/L, total 2 L.

Lower Concentration: 10

Higher Concentration: 50

Target Concentration: 30

Total Amount: 2

Unit: g/L

Pharmacy Cream Preparation

Basic

Mix 1% and 5% cream to get 2.5% cream, total 200 g.

Lower Concentration: 1

Higher Concentration: 5

Target Concentration: 2.5

Total Amount: 200

Unit: %

Other Titles
Understanding Alligation Mixture Calculator: A Comprehensive Guide
Everything you need to know about mixing solutions using the alligation method.

What is Alligation?

  • Definition of Alligation
  • Types: Medial and Alternate
  • Where is Alligation Used?
Alligation is a mathematical method used to calculate the proportions of two solutions with different concentrations needed to achieve a desired concentration. It is widely used in chemistry, pharmacy, and industry.
Types of Alligation
Alligation Medial finds the mean concentration of a mixture. Alligation Alternate finds the required amounts of each solution to achieve a target concentration.

Common Alligation Scenarios

  • Mixing 5% and 20% alcohol to get 12% alcohol.
  • Mixing 0.9% and 10% saline to get 3% saline.

Step-by-Step Guide to Using the Calculator

  • Input the Concentrations
  • Enter the Total Amount (Optional)
  • Select the Unit
How to Use
  1. Enter the lower and higher concentrations.
  2. Enter the target concentration.
  3. Optionally, enter the total amount of the final mixture.
  4. Select the unit.
  5. Click 'Calculate' to get the mixing ratio and required amounts.

Step-by-Step Examples

  • Input: 5% and 20% alcohol, target 12%, total 1000 mL → Output: 533 mL of 5%, 467 mL of 20%
  • Input: 10 g/L and 50 g/L sugar, target 30 g/L, total 2 L → Output: 1 L of 10 g/L, 1 L of 50 g/L

Real-World Applications of Alligation

  • Pharmacy and Medicine
  • Laboratory and Industry
  • Food and Beverage Preparation
Alligation is essential in pharmacy for compounding creams, solutions, and syrups. It is also used in laboratories and food industry to prepare mixtures with precise concentrations.
Industry Examples
For example, a pharmacist may need to mix two creams of different strengths to achieve a prescribed concentration.

Industry Use Cases

  • Mixing 1% and 5% cream to get 2.5% cream, total 200 g.
  • Mixing 0.9% and 10% saline to get 3% saline, total 500 mL.

Common Misconceptions and Correct Methods

  • Target Must Be Between the Two Concentrations
  • Units Must Match
  • Alligation is Not for More Than Two Solutions
Avoiding Mistakes
The target concentration must be between the lower and higher concentrations. All units must be consistent. Alligation is only for mixing two solutions, not more.

Misconception Examples

  • Incorrect: Target outside the range of the two concentrations.
  • Correct: Target between the two concentrations.

Mathematical Derivation and Examples

  • Alligation Formula
  • Worked Example Calculations
  • Unit Conversions
Formula
Mixing Ratio (Low : High) = (High - Target) : (Target - Low). If total amount is given: Low Amount = Total × (High - Target) / (High - Low), High Amount = Total × (Target - Low) / (High - Low).
Unit Conversion
Ensure all concentrations and total amount are in the same unit before calculation.

Mathematical Examples

  • 5% and 20% alcohol, target 12%, total 1000 mL → 533 mL of 5%, 467 mL of 20%
  • 10 g/L and 50 g/L sugar, target 30 g/L, total 2 L → 1 L of 10 g/L, 1 L of 50 g/L