12. Robin Made Two Batches Of Every Item Shown In The Table. At The End Of The Day, She Had $1 \frac{1}{4}$ Cups Of Flour Left. Use An Equation To Find How Much Flour Robin Originally Had On Saturday.\[\begin{tabular}{|l|c|}\hline Baking

Introduction

In the world of mathematics, problems often arise in the most unexpected ways. For Robin, a day of baking turned into a mystery when she found herself with a surplus of flour. With two batches of every item, she was left with a puzzling amount of flour. In this article, we will delve into the world of algebra and use an equation to uncover the original amount of flour Robin had on Saturday.

The Problem

Robin made two batches of every item shown in the table below. At the end of the day, she had $1 \frac{1}{4}$ cups of flour left. We need to find out how much flour Robin originally had on Saturday.

Setting Up the Equation

Let's denote the original amount of flour Robin had as x. Since she made two batches of every item, the total amount of flour used can be represented as 2 times the sum of the quantities of each item. We can set up an equation based on this information:

2(2 + 1 + 1.5 + 3) = x - 1.25

Simplifying the Equation

To simplify the equation, we can start by evaluating the expression inside the parentheses:

2(2 + 1 + 1.5 + 3) = 2(7.5) = 15

Now, our equation becomes:

15 = x - 1.25

Isolating the Variable

To isolate the variable x, we need to add 1.25 to both sides of the equation:

15 + 1.25 = x

x = 16.25

Conclusion

Using an equation, we were able to uncover the original amount of flour Robin had on Saturday. With a total of 16.25 cups of flour, Robin was able to make two batches of every item shown in the table. This problem demonstrates the power of algebra in solving real-world problems and highlights the importance of attention to detail.

Real-World Applications

This problem has real-world applications in various fields, such as:

• Baking: Understanding the amount of ingredients needed for a recipe is crucial in baking. This problem demonstrates how to use algebra to solve problems related to baking.
• Cooking: Similar to baking, cooking requires precise measurements of ingredients. This problem can be adapted to solve problems related to cooking.
• Science: In science, experiments often require precise measurements of materials. This problem demonstrates how to use algebra to solve problems related to science.

Tips and Variations

• Using Different Units: Instead of using cups, we could use other units such as grams or ounces. This would require adjusting the equation accordingly.
• Adding More Variables: We could add more variables to the equation, such as the cost of flour or the number of people being served.
• Using Different Types of Equations: We could use different types of equations, such as quadratic or exponential equations, to solve the problem.

Conclusion

Introduction

In our previous article, we used an equation to uncover the original amount of flour Robin had on Saturday. In this article, we will answer some frequently asked questions related to the problem.

Q: What if Robin had made only one batch of each item? How would the equation change?

A: If Robin had made only one batch of each item, the equation would change to:

2(2 + 1 + 1.5 + 3) = x - 0.625

This is because there would be no leftover flour, so we would subtract 0.625 cups (half of 1.25 cups) from the total amount of flour used.

Q: How would the equation change if Robin had used a different type of flour, such as whole wheat flour?

A: If Robin had used a different type of flour, the equation would not change. The type of flour used does not affect the amount of flour needed for the recipe. However, the density of the flour might be different, which could affect the amount of flour needed for the recipe.

Q: Can we use this equation to solve problems related to other ingredients, such as sugar or eggs?

A: Yes, we can use a similar equation to solve problems related to other ingredients. For example, if we want to find the original amount of sugar needed for a recipe, we can set up an equation based on the amount of sugar used and the amount of sugar left over.

Q: How can we use this equation to solve problems related to cooking or science?

A: We can use this equation to solve problems related to cooking or science by adapting it to the specific problem. For example, if we want to find the amount of ingredients needed for a recipe, we can set up an equation based on the amount of ingredients used and the amount of ingredients left over.

Q: What if we want to find the amount of flour needed for a recipe that serves a different number of people?

A: If we want to find the amount of flour needed for a recipe that serves a different number of people, we can use a similar equation. We would need to adjust the amount of flour needed based on the number of people being served.

Q: Can we use this equation to solve problems related to other types of recipes, such as savory recipes or desserts?

A: Yes, we can use a similar equation to solve problems related to other types of recipes. For example, if we want to find the amount of ingredients needed for a savory recipe, we can set up an equation based on the amount of ingredients used and the amount of ingredients left over.

Q: How can we use this equation to solve problems related to food waste or food storage?

A: We can use this equation to solve problems related to food waste or food storage by adapting it to the specific problem. For example, if we want to find the amount of flour that can be stored in a pantry, we can set up an equation based on the amount of flour used and the amount of flour left over.

Conclusion

In conclusion, this Q&A article provides answers to frequently asked questions related to the problem of finding the original amount of flour Robin had on Saturday. By adapting the equation to different scenarios, we can use it to solve problems related to cooking, science, and other fields.