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Math Help - How to calculate percentage of and ingredient in a recipe

  1. #1
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    How to calculate percentage of and ingredient in a recipe

    How does one calculate the amount of an ingredient needed in a recipe if the amount is given in percentage to another ingredient?

    What is the methodology?

    For example: use 5% cocoa butter to 16 oz of cocoa nibs. How many oz. of cocoa butter is needed? (I'm trying to make chocolate from scratch).

    Thanx
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  2. #2
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    Quote Originally Posted by WileEwonka View Post
    How does one calculate the amount of an ingredient needed in a recipe if the amount is given in percentage to another ingredient?

    What is the methodology?

    For example: use 5% cocoa butter to 16 oz of cocoa nibs. How many oz. of cocoa butter is needed? (I'm trying to make chocolate from scratch).

    Thanx
    I think if you only have 2 ingredients, cocoa butter and cocoa nibs, then 1 - 0.05 = 95% is the amount of nibs you have. So, we have a proportion of ounces to percentage:

    \frac {x}{5} = \frac {16}{95} where x = # of ounces of cocoa butter you need.

    From here, we show the math work --> Proportions

    If 2 proportions are equal to each other, then we have:
    Numerator 1 * Denominator 2 = Denominator 1 * Numerator 2

    Solving for Numerator 1 we get:
    Numerator 1 = (Denominator 1 * Numerator 2) / Denominator 2

    Evaluating and simplfying using your input values, we get:
    x = \frac {(5 * 16)}{95}

    x = \frac {80}{95}

    x = 0.8421052631578947 ounces
    Last edited by mathceleb; April 22nd 2009 at 06:42 AM.
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