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 31 % of a powder do you need to mix with 7 % of a powder in order to obtain 19 g of 10 % of a mixture?


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lb equals 2.38 g kg

    Tic-tac-toe, Short form:

    `[[31 %,\quad\quad\quad\quad, 3 pt],[\quad\quad\quad\quad,10 % (19\quad g), \quad\quad\quad\quad],[7 %,\quad\quad\quad\quad,21 pt]]`

    Tic-tac-toe, Long form:

    `[[31 %,\quad\quad\quad\quad, 3 pt, => 19 g × (3 pt)/(3 pt+21 pt)=, 2.38 g],[\quad\quad\quad\quad,10 % (19\quad g), \quad\quad\quad\quad, \quad\quad\quad\quad, \quad\quad\quad\quad],[7 %,\quad\quad\quad\quad,21 pt,=> 19 g × (21 pt )/(3 pt+21 pt)= ,16.63 g]]`

    Therefore, 2.38 g of 31 % will be required.