Tutorial on Alligation

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  • Topic: Allegation, 2002, 1944
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  • Published : January 8, 2012
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Tutorial - Alligation I

This is a copy on a word document. A few members have posted that they could not open the original that was posted on August 4, 2002 as a Created Text File. The following is an exact duplicate:

The following is a dilution problem, solved by using an alligation method. to see this problem solved by using ratio/proportion please see a Tutorial called: Tutorial on Dilution Using the Ratio / Proportion Method


The doctor has ordered 60ml of a 12% solution of a specific drug (Rx). However, on the shelf you have only 30% (Availability or Av). What can you do? or use instead? Answer: Dilute the stronger 30% with WATER to make a 12% solution Calculation: Alligation or Ratio/Proportion Method

This Tutorial is by using the Alligation method only. For the Ratio Proportion Method Please see the Tutorial on Dilution Using the Ratio / Proportion Method

Begin by drawing a Tic Tac Toe diagram:

NOTE: WATER has NO drug in it. Therefore the percentage (%) of drug is 0%.

1. Place the high in the upper left. (H)
2. Place the lowest in the lower left. (L)
3. Place the middle or what you are going to make in the middle.(M) 4. Subtract H - L and it becomes (both) the denominators. 30-0=30 5. Subtract H - M and it becomes the numerator of the lower right corner. 30- 12=18

6. Subtract M - L and it becomes the numerator of the upper right corner. 12-0=12

7. Check point: 12 + 18 = 30, 30 over 30 = 1 or 30/30 = 1
Note in the future doing other alligations: If your answer is one or 1 then you may proceed with a green light to the next step!

Your alligation should look like this:

30% ----- X 60 ml = 24 ml of 30 % solution 30


0% ----- X 60 ml = 36 ml of WATER (0 % solution) 30...
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