QuestionA chocolate chip cookie recipe requires two and one half cups of flour to one cup of chocolate chips. If three and one third cups of flour is used, what quantity of chocolate chips will be needed, according to the recipe? $\square$

Studdy Solution

STEP 1

1. The recipe requires 2.5 cups of flour for every 1 cup of chocolate chips.
2. We have 3.33 (or $\frac{10}{3}$ ) cups of flour.
3. We need to find the quantity of chocolate chips required for 3.33 cups of flour.

STEP 2

1. Understand the ratio given in the recipe.
2. Set up a proportion based on the given ratio.
3. Solve the proportion to find the required quantity of chocolate chips.

STEP 3

Understand the ratio given in the recipe.
The recipe states that for every 2.5 cups of flour, 1 cup of chocolate chips is needed.

STEP 4

Set up a proportion based on the given ratio.
Let $x$ be the amount of chocolate chips needed for 3.33 cups of flour.
The proportion is: $\frac{2.5}{1} = \frac{3.33}{x}$

STEP 5

Solve the proportion to find the required quantity of chocolate chips.
Cross-multiply to solve for $x$ : $2.5x = 3.33$
Divide both sides by 2.5 to isolate $x$ : $x = \frac{3.33}{2.5}$
Calculate the division: $x = 1.332$
Therefore, the quantity of chocolate chips needed is approximately: $\boxed{1.332} \text{ cups}$

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