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There are two types of alligation method: alligation medial and allegation alternate.
Alligationis an old and practical method of solving arithmetic problems related to mixtures of ingredients.
Alligation medial, used to find the quantity of a mixture given the quantities of its ingredients, and alligation alternate, used to find the amount of each ingredient needed to make a mixture of a given quantity.
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.
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