Math Snap

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 $x$.
$$x = \frac{80g \times100}{160}$$

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