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7 January, 06:16

Ann increased the quantities of all the ingredients in a recipe by 60%, percent. She used 80 grams (/text{g}) (g) left parenthesis, start text, g, end text, right parenthesis of cheese. How much cheese did the recipe require?

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  1. 7 January, 09:24
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    The recipe required 50 grams of cheese

    Step-by-step explanation:

    Here in the question, we are made to know that she increased all ingredients by 60%.

    Now we want to know the original mass of the cheese if she used 80grams after the 60% increment.

    Mathematically, the formula for percentage increase is;

    % increase = increment/old value * 100%

    Where increment is new value - old value

    since we do not know the old value, we can say that it is x. This means that the increment is 80-x

    Hence;

    60 = (80-x) / x * 100

    60x = 100 (80-x)

    60x = 8000-100x

    100x + 60x = 8000

    160x = 8000

    x = 8000/160

    x = 50g
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