Type 4 - Find the quantity of base or vehicle

9. Altering Product Strength 9.2) Alligation 9.2.1) Alligation

9.2.1.1) Alligation Normal 1


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You want to prepare 75% of an ointment. You have some ointment base or vehicle and 1020 g of 90% ointment. Calculate how many grams of base you need to mix with the 90% ointment in order to compound the product.


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lb equals 204 g kg

    Tic-tac-toe, Short form:

    `[[90 % (1020 \quad g),\quad\quad\quad\quad, 75 pt],[\quad\quad\quad\quad,75 % , \quad\quad\quad\quad],[0 % (? g),\quad\quad\quad\quad,15 pt]]`

    Therefore, 15 parts of the ointment base should be mixed with 75 parts of the ointment having a concentration of 90 % and the weight of 1020 grams.
    `(1020 \quad g)/(75 \quad parts)=x/(15 \quad parts) \quad therefore x = 204 \quad g`. Ans.


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