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 50 % of a powder do you need to mix with 5 % of a powder in order to obtain 18 g of 13 % of a mixture?


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lb equals 3.2 g kg

    Tic-tac-toe, Short form:

    `[[50 %,\quad\quad\quad\quad, 8 pt],[\quad\quad\quad\quad,13 % (18\quad g), \quad\quad\quad\quad],[5 %,\quad\quad\quad\quad,37 pt]]`

    Tic-tac-toe, Long form:

    `[[50 %,\quad\quad\quad\quad, 8 pt, => 18 g × (8 pt)/(8 pt+37 pt)=, 3.2 g],[\quad\quad\quad\quad,13 % (18\quad g), \quad\quad\quad\quad, \quad\quad\quad\quad, \quad\quad\quad\quad],[5 %,\quad\quad\quad\quad,37 pt,=> 18 g × (37 pt )/(8 pt+37 pt)= ,14.8 g]]`

    Therefore, 3.2 g of 50 % will be required.