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ragaei
11-10-2006, 04:10 PM
hi every body please help me understand the allogation method that used in the calculation of manan sharaf thank u 4 ur help u are realy a very good team wish u all good luck

liquid
11-10-2006, 09:34 PM
I think you meant "alligation method".

Here is the link to the below explanation http://www.answers.com/topic/alligation

all the best

alligation
Alligation should not be mistaken for allegation (http://www.answers.com/topic/allegation).
Alligation is an old and practical method of solving arithmetic (http://www.answers.com/topic/arithmetic) problems related to mixtures of ingredients. There are two types of alligation: 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 (http://www.answers.com/topic/weighted-mean). Alligation alternate is more complicated and involves organizing the ingredients into high and low pairs which are then traded off.

Examples


Alligation medial

Suppose you make a "suicide" soft drink combination out of 1/2 Coke, 1/4 Sprite, and 1/4 orange soda. The Coke has 120 grams of sugar per liter, the Sprite has 100 grams of sugar per liter, and the orange soda has 150 grams of sugar per liter. How much sugar does the suicide 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:
http://content.answers.com/main/content/wp/en/math/e/8/f/e8f5305c4fd1fa66b142e3cae93aa477.png grams per liter.
Alligation alternate

Suppose you like 1% milk, but you only have 3% whole milk and % low fat milk. How much of each should you mix together to make an 8 ounce cup of 1% milk? This is an example of alligation alternate because you want to find the amount of two ingredients to mix together to form a mixture with a given amount of fat. Since there are only two ingredients, there is only one possible way to form a pair. The difference of 3% from the desired 1%, 2%, is assigned to the low fat milk, and the difference of % from the desired 1%, %, is assigned alternately to the whole milk. The total amount, 8 ounces, is then divided by the sum http://content.answers.com/main/content/wp/en/math/1/2/0/120b986cdb95704e250d407a69bbb4a1.png to yield 16/5, and the amounts of the two ingredients are
http://content.answers.com/main/content/wp/en/math/4/1/a/41abf5f0e2f1eba2df2ced47d198090f.png ounces whole milk and http://content.answers.com/main/content/wp/en/math/f/9/a/f9a73e1e24d1a543d806f3253295c421.png ounces low fat milk.
hi every body please help me understand the allogation method that used in the calculation of manan sharaf thank u 4 ur help u are realy a very good team wish u all good luck

lite
11-11-2006, 03:55 AM
hey ragaei ... i wonder where did u see that question in mannan about alligation ? can u tell me the no. of the question & which page ?

monaellakany
11-11-2006, 06:58 AM
i do not understand it it is explained in diffirent in manam shroof and i also id not understand it so plz help

lite
11-11-2006, 10:34 PM
i do not understand it it is explained in diffirent in manam shroof and i also id not understand it so plz help


can u tell me where in mannan`s book ? i think i never heard about this .. i hope i didn`t skip it by mistake .. let me please where u read it

gigs
11-11-2006, 10:46 PM
its in manon numerical book or may be question answers book but not in the theoretical one