Important Concepts
Alligation is a useful method to determine the ratio of different ingredients to use in a compound given the concentration of the ingredients and product.

Problem
In what proportion should alcohols of 35% and 5% strengths be mixed to make 10% alcohol?

Solution

1. Set up and solve the problem as shown below.
2. Take the difference between each ingredient concentration and the product concentration. This will give the relative amount of each ingredient to use in making the compound.
   
   • 35% concentration ingredient - 10% concentration product = 25 parts 5% concentration alcohol.
   • 10% concentration product - 5% concentration ingredient = 5 parts 35% concentration alcohol.
3. Reduce the ratio of the answer to lowest terms. 5: 25 = 1: 5 parts 35% alcohol:parts 5% alcohol

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