Alligation Calculator

Alligation finds the ratio to mix two strengths into a target strength.

How the Math Works

The Alligation Calculator uses a straightforward mathematical principle to determine the exact proportions needed when mixing two substances of different concentrations. The formula works by taking the difference between the higher concentration and the target concentration to find how much of the lower concentration is needed, and the difference between the target concentration and the lower concentration to find how much of the higher concentration is required. For example, if you need a 15% solution from 10% and 20% stock solutions, you would calculate parts of 10% as 20-15=5, and parts of 20% as 15-10=5, resulting in equal parts of each solution.

Practical Applications

To apply this calculation practically, first identify your two available concentrations and your desired target concentration. Subtract the target from the higher concentration to determine the proportion of the lower concentration needed, and subtract the lower concentration from the target to determine the proportion of the higher concentration needed. These parts can be scaled up or down based on how much total mixture you require. This method is commonly used in laboratories, pharmaceutical preparation, and industrial processes where precise concentration adjustments are necessary.

Day-to-Day Use

You can use the Alligation Calculator in everyday situations like adjusting the strength of cleaning solutions, mixing fertilizers to achieve optimal plant nutrition, or preparing customized juice concentrations at home. It's particularly useful for DIY enthusiasts who need to dilute essential oils, create custom cleaning products, or adjust the potency of homemade remedies. By mastering this calculation, you can save money by using exactly the right amounts of products and avoid wasting expensive concentrated solutions.

Worked example

5% and 20% to make 12% → 8 parts of 5% : 7 parts of 20%.

FAQ