Alligation Mixture Calculator

Work out alligation mixture instantly with clear inputs, formula shown and shareable results.

About Alligation Mixture Calculator

Applies alligation alternate: the parts of each stock are the differences between the other stock's strength and the desired strength.

Formula

Alligation alternate

Parts of higher strength = desired - lower; parts of lower strength = higher - desired; quantities are shared in that ratio

Worked example

With the default values below, Alligation Mixture Calculator returns Quantity of the higher strength of 37.500. Change any input above and every figure here is recalculated in your browser.

Inputs used

Desired strengthaccepts 0.1–99: 5
Higher available strengthaccepts 0.2–100: 10
Lower available strengthaccepts 0–99: 2
Total quantity requiredaccepts 0.1–10,000 g: 100 g

Results

Quantity of the higher strength: 37.500 g
Quantity of the lower strength: 62.500 g
Parts by alligation: 3 parts higher to 5 parts lower
Resulting strength check: 5.000%

Step by step

1Values used
2Alligation alternate
3Quantity of the higher strength= 37.500 g
4Quantity of the lower strength= 62.500 g
5Parts by alligation= 3 parts higher to 5 parts lower
6Resulting strength check= 5.000

Assumptions and limits

The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
Educational estimate only. Not a substitute for professional clinical judgement, and must not be used to make treatment or dosing decisions.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Educational estimate only. Not a substitute for professional clinical judgement, and must not be used to make treatment or dosing decisions.

Frequently Asked Questions

Does the desired strength have to lie between the two?

Yes. Alligation only works when the target sits between the available strengths.

Can a diluent be one component?

Yes. A diluent is treated as 0% strength, which is the common case for reducing a stock concentration.