Quin Wants To Make His Famous Chocolate Chip Cookies To Bring To His Friend's Birthday Party. The Original Recipe Serves 5 People And Requires $\frac{1}{2}$ Cup Of Butter. He Needs To Serve 28 People. How Many Cups Of Butter Will He Need?A.

Introduction

Scaling up a recipe is a common problem that many home bakers face, especially when they need to make a large batch of their favorite treats for a special occasion. In this article, we will explore how to scale up a recipe to serve a larger number of people. We will use the example of Quin, who wants to make his famous chocolate chip cookies for his friend's birthday party.

The Original Recipe

Quin's original recipe serves 5 people and requires $\frac{1}{2}$ cup of butter. This means that the recipe is designed to produce a certain amount of cookies that can be consumed by 5 people. To determine how many cups of butter Quin will need, we need to scale up the recipe to serve 28 people.

Scaling Up the Recipe

To scale up the recipe, we need to multiply the ingredients by a factor that will allow us to serve 28 people. Since the original recipe serves 5 people, we can multiply the ingredients by $\frac{28}{5}$ to get the new amount.

Calculating the New Amount of Butter

Let's calculate the new amount of butter that Quin will need. We can start by multiplying the original amount of butter by the scaling factor:

$$\frac{1}{2} \times \frac{28}{5} = \frac{14}{5}$$

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 1. This gives us:

$$\frac{14}{5} = 2.8$$

So, Quin will need 2.8 cups of butter to make his famous chocolate chip cookies for 28 people.

Conclusion

Scaling up a recipe can be a complex problem, but it can be solved using simple math. By multiplying the ingredients by a factor that will allow us to serve the desired number of people, we can determine the new amount of each ingredient. In this article, we used the example of Quin, who needed to make his famous chocolate chip cookies for 28 people. We calculated that he will need 2.8 cups of butter to make the recipe.

Tips for Scaling Up a Recipe

• Read the recipe carefully: Before scaling up a recipe, make sure you read it carefully to understand the ingredients and instructions.
• Use a scaling factor: To scale up a recipe, use a scaling factor that will allow you to serve the desired number of people.
• Calculate the new amount of each ingredient: Multiply each ingredient by the scaling factor to get the new amount.
• Simplify fractions: Simplify fractions by dividing the numerator and denominator by their greatest common divisor.
• Double-check your calculations: Double-check your calculations to ensure that you have the correct amount of each ingredient.

Common Mistakes to Avoid

• Not reading the recipe carefully: Failing to read the recipe carefully can lead to mistakes in scaling up the recipe.
• Using the wrong scaling factor: Using the wrong scaling factor can result in an incorrect amount of each ingredient.
• Not simplifying fractions: Failing to simplify fractions can lead to errors in calculations.
• Not double-checking calculations: Failing to double-check calculations can result in mistakes in the final product.

Conclusion

Introduction

Scaling up a recipe is a common problem that many home bakers face, especially when they need to make a large batch of their favorite treats for a special occasion. In this article, we will explore how to scale up a recipe to serve a larger number of people. We will use the example of Quin, who wants to make his famous chocolate chip cookies for his friend's birthday party.

Q&A: Scaling Up a Recipe

Q: What is scaling up a recipe?

A: Scaling up a recipe means multiplying the ingredients by a factor that will allow you to serve a larger number of people.

Q: Why do I need to scale up a recipe?

A: You need to scale up a recipe when you want to make a large batch of your favorite treats for a special occasion, such as a birthday party or a holiday gathering.

Q: How do I scale up a recipe?

A: To scale up a recipe, you need to multiply the ingredients by a factor that will allow you to serve the desired number of people. You can use a scaling factor, such as $\frac{28}{5}$, to multiply the ingredients.

Q: What is a scaling factor?

A: A scaling factor is a number that you multiply the ingredients by to get the new amount. For example, if you want to make a recipe that serves 5 people and you want to make it for 28 people, you would use a scaling factor of $\frac{28}{5}$.

Q: How do I calculate the new amount of each ingredient?

A: To calculate the new amount of each ingredient, you need to multiply the original amount by the scaling factor. For example, if the original recipe calls for $\frac{1}{2}$ cup of butter and you want to make it for 28 people, you would multiply $\frac{1}{2}$ by $\frac{28}{5}$ to get the new amount.

Q: What if I have a fraction of an ingredient?

A: If you have a fraction of an ingredient, you can simplify the fraction by dividing the numerator and denominator by their greatest common divisor. For example, if you have $\frac{14}{5}$ cups of butter, you can simplify it to 2.8 cups.

Q: What are some common mistakes to avoid when scaling up a recipe?

A: Some common mistakes to avoid when scaling up a recipe include not reading the recipe carefully, using the wrong scaling factor, not simplifying fractions, and not double-checking calculations.

Q: How can I ensure that I get the correct amount of each ingredient?

A: To ensure that you get the correct amount of each ingredient, you need to follow the recipe carefully and double-check your calculations. You should also read the recipe carefully to understand the ingredients and instructions.

Q: Can I scale up a recipe by a factor of 2 or 3?

A: Yes, you can scale up a recipe by a factor of 2 or 3. However, you need to be careful when scaling up a recipe by a large factor, as it can affect the texture and flavor of the final product.

Q: What if I want to scale down a recipe?

A: If you want to scale down a recipe, you can use a scaling factor that is the reciprocal of the original scaling factor. For example, if you want to scale down a recipe that serves 28 people to serve 5 people, you would use a scaling factor of $\frac{5}{28}$.

Conclusion

Scaling up a recipe can be a complex problem, but it can be solved using simple math. By following the tips and avoiding common mistakes, you can ensure that you get the correct amount of each ingredient and produce a delicious final product. Whether you're a seasoned baker or a beginner, scaling up a recipe is an essential skill that you'll use often in your baking adventures.