Alligation Math in basic pharmacy tech math. is a method of solving a slightly complicated algebra problem. Sometimes it is called “Tic-Tac-Toe” math. Some calculations used in pharmacy in which the strength of a diluted portion of Alligation; Arithmatical method of solving problems that involves the mixing of. Alligation is one of the simple and illustrative methods in pharmaceutical calculations for the pharmacy technicians. Dilution is a simple method.

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Notes on the Use of Alligation Method in Pharmaceutical Practice

Alligation is an old and practical method of solving arithmetic problems related to mixtures of ingredients. There are two types of alligation: Alligation medial is merely a matter of finding a weighted mean.

Alligation alternate is more complicated and involves organizing the ingredients into high and low pairs which are then traded off. Two further variations on Alligation occur: The technique is not used in schools although it is used still in pharmacies for quick calculation of quantities.

Notes on the Use of Alligation Method in Pharmaceutical Practice

The Coke has grams of sugar per liter, the Sprite has grams of sugar per liter, and the orange soda has grams calculatilns sugar per liter. How much sugar does the drink have?


This is an example of alligation medial because you want to find the amount of sugar in the mixture given the amounts of sugar in its ingredients. The solution is just to find the weighted average by composition:. This is an example of alligation alternate because you want to find the amount of two ingredients to mix to form a mixture with a given amount of fat.

Since there are only two ingredients, there is only one possible allugation to form a pair.

Alligation calculator- (Solutions and topicals) Compounding – GlobalRPH

This article incorporates text from a publication now in the public domain: Chambers, Ephraimed. James and John Knapton, et al. A general formula that works for both alligation “alternate” and alligation “medial” is the pharmaacy In this formula, A is the volume of ingredient A and a is its mixture coefficient i.

So in the above example we get: Using this formula you can solve for any of the 6 variables A,a,B,b,C,c, regardless allifation whether you’re dealing with medial, alternate, etc.


This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is How much wine did the cask hold originally? This is an example of a problem that involves repeated dilutions of a given solution.

When 8 liters are drawn out, the volume of wine is reduced alligqtion 8 X liters while the total volume of liquid remains unchanged as it is re-filled with water. From Wikipedia, the free encyclopedia. Not to be confused with allegation.

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