QuestionAnn used 80 g of cheese after a $60\%$ increase. How much cheese was originally needed in the recipe?

Studdy Solution

STEP 1

Assumptions1. The quantity of all ingredients in the recipe was increased by60% . Ann used80 grams of cheese in the increased recipe

STEP 2

First, we need to find the original quantity of cheese in the recipe before the increase. We can do this by setting up a proportion, where the increased quantity is160% (100% original +60% increase) of the original quantity.
Let $x$ be the original quantity of cheese in the recipe. We can write the proportion as $\frac{80g}{x} = \frac{160}{100}$

STEP 3

To solve for $x$ , we can cross multiply.
$80g \times100 =160 \times x$

STEP 4

olve the equation for $x$ .
$x = \frac{80g \times100}{160}$

STEP 5

Calculate the original quantity of cheese in the recipe.
$x = \frac{80g \times100}{160} =50g$ The original recipe required50 grams of cheese.

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