Jocaphas Collects Postcards And Stamps. The Number Of Postcards In His Collection Is 12 More Than { \frac{1}{4}$}$ The Number Of Stamps. He Has 39 Postcards In All. If Jocaphas Has { X$}$ Stamps, Which Equation Represents This

Introduction

Jocaphas is a passionate collector of postcards and stamps. His collection is a treasure trove of memories and stories, each one unique and special in its own way. In this article, we will delve into the world of Jocaphas' postcard and stamp collection, exploring the mathematical relationships between the number of postcards and stamps he has.

The Problem

Jocaphas has a collection of postcards and stamps, and we are given the following information:

• The number of postcards in his collection is 12 more than $\frac{1}{4}$ the number of stamps.
• He has a total of 39 postcards in his collection.

We are asked to find the equation that represents the relationship between the number of stamps and the number of postcards.

Let's Break it Down

Let $x$ be the number of stamps Jocaphas has. We are told that the number of postcards in his collection is 12 more than $\frac{1}{4}$ the number of stamps. This means that the number of postcards is equal to $\frac{1}{4}x + 12$.

We are also given that Jocaphas has a total of 39 postcards in his collection. This means that the number of postcards is equal to 39.

Setting Up the Equation

We can now set up an equation to represent the relationship between the number of stamps and the number of postcards. We know that the number of postcards is equal to $\frac{1}{4}x + 12$, and we also know that the number of postcards is equal to 39.

We can write this as an equation:

$$\frac{1}{4}x + 12 = 39$$

Solving the Equation

To solve for $x$, we can start by subtracting 12 from both sides of the equation:

$$\frac{1}{4}x = 27$$

Next, we can multiply both sides of the equation by 4 to get rid of the fraction:

$$x = 108$$

The Equation Represents the Relationship

So, the equation $x = 108$ represents the relationship between the number of stamps and the number of postcards in Jocaphas' collection.

Conclusion

In this article, we explored the mathematical relationships between the number of postcards and stamps in Jocaphas' collection. We set up an equation to represent the relationship between the number of stamps and the number of postcards, and we solved for the number of stamps. The equation $x = 108$ represents the relationship between the number of stamps and the number of postcards in Jocaphas' collection.

Mathematical Representation

The equation $x = 108$ can be represented mathematically as:

$$x = \frac{4}{1} \times 27$$

This equation represents the relationship between the number of stamps and the number of postcards in Jocaphas' collection.

Real-World Application

The equation $x = 108$ has real-world applications in various fields, such as:

• Business: The equation can be used to calculate the number of stamps needed to fulfill a certain number of orders.
• Logistics: The equation can be used to calculate the number of stamps needed to ship a certain number of packages.
• Finance: The equation can be used to calculate the number of stamps needed to pay a certain number of bills.

Conclusion

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Introduction

In our previous article, we explored the mathematical relationships between the number of postcards and stamps in Jocaphas' collection. We set up an equation to represent the relationship between the number of stamps and the number of postcards, and we solved for the number of stamps. In this article, we will answer some frequently asked questions about Jocaphas' postcard and stamp collection.

Q: What is the relationship between the number of postcards and stamps in Jocaphas' collection?

A: The number of postcards in Jocaphas' collection is 12 more than $\frac{1}{4}$ the number of stamps.

Q: How many postcards does Jocaphas have in his collection?

A: Jocaphas has a total of 39 postcards in his collection.

Q: What is the equation that represents the relationship between the number of stamps and the number of postcards?

A: The equation that represents the relationship between the number of stamps and the number of postcards is:

$$\frac{1}{4}x + 12 = 39$$

Q: How do I solve for the number of stamps in Jocaphas' collection?

A: To solve for the number of stamps, you can start by subtracting 12 from both sides of the equation:

$$\frac{1}{4}x = 27$$

Next, you can multiply both sides of the equation by 4 to get rid of the fraction:

$$x = 108$$

Q: What is the real-world application of the equation that represents the relationship between the number of stamps and the number of postcards?

A: The equation has real-world applications in various fields, such as:

• Business: The equation can be used to calculate the number of stamps needed to fulfill a certain number of orders.
• Logistics: The equation can be used to calculate the number of stamps needed to ship a certain number of packages.
• Finance: The equation can be used to calculate the number of stamps needed to pay a certain number of bills.

Q: Can I use the equation to calculate the number of stamps needed for a specific number of postcards?

A: Yes, you can use the equation to calculate the number of stamps needed for a specific number of postcards. Simply plug in the number of postcards into the equation and solve for the number of stamps.

Q: What if I want to calculate the number of postcards needed for a specific number of stamps?

A: To calculate the number of postcards needed for a specific number of stamps, you can use the equation:

$$\frac{1}{4}x + 12 = y$$

where $y$ is the number of postcards.

Q: How do I solve for the number of postcards in this equation?

A: To solve for the number of postcards, you can start by subtracting 12 from both sides of the equation:

$$\frac{1}{4}x = y - 12$$

Next, you can multiply both sides of the equation by 4 to get rid of the fraction:

$$x = 4(y - 12)$$

Conclusion

In this article, we answered some frequently asked questions about Jocaphas' postcard and stamp collection. We explored the mathematical relationships between the number of postcards and stamps in Jocaphas' collection, and we provided real-world applications of the equation that represents the relationship between the number of stamps and the number of postcards.