Type 1 - Alligation basic tic-tac-toe

9. Altering Product Strength 9.2) Alligation 9.2.1) Alligation

9.2.1.1) Alligation Normal 1


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How many grams of 29 % of a powder do you need to mix with 5 % of a powder in order to obtain 12 g of 11 % of a mixture?


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lb equals 3 g kg

    Tic-tac-toe, Short form:

    `[[29 %,\quad\quad\quad\quad, 6 pt],[\quad\quad\quad\quad,11 % (12\quad g), \quad\quad\quad\quad],[5 %,\quad\quad\quad\quad,18 pt]]`

    Tic-tac-toe, Long form:

    `[[29 %,\quad\quad\quad\quad, 6 pt, => 12 g × (6 pt)/(6 pt+18 pt)=, 3 g],[\quad\quad\quad\quad,11 % (12\quad g), \quad\quad\quad\quad, \quad\quad\quad\quad, \quad\quad\quad\quad],[5 %,\quad\quad\quad\quad,18 pt,=> 12 g × (18 pt )/(6 pt+18 pt)= ,9 g]]`

    Therefore, 3 g of 29 % will be required.