Sammie Took $\$25$ Out Of Her Checking Account. After Taking The Money Out, She Had $\$100$ Remaining. Which Equation Can Be Used To Find The Amount, $c$, Sammie Had In Her Account Before She Took The Money Out?A. $c + 25

Introduction

In this article, we will delve into a simple yet intriguing mathematical problem that involves algebraic equations. The problem revolves around Sammie, who takes $\$25$ out of her checking account, leaving her with $\$100$. Our goal is to determine the initial amount of money, denoted as $c$, that Sammie had in her account before she took the money out.

The Problem

Sammie takes $\$25$ out of her checking account, and after this transaction, she has $\$100$ remaining. We need to find the initial amount of money, $c$, that Sammie had in her account before she took the money out.

Mathematical Representation

To solve this problem, we can use a simple algebraic equation. Let's denote the initial amount of money as $c$. When Sammie takes $\$25$ out of her account, the remaining amount is $c - 25$. We are given that the remaining amount is $\$100$, so we can set up the equation:

$$c - 25 = 100$$

Solving the Equation

To find the initial amount of money, $c$, we need to isolate the variable $c$ on one side of the equation. We can do this by adding $25$ to both sides of the equation:

$$c - 25 + 25 = 100 + 25$$

Simplifying the equation, we get:

$$c = 125$$

Conclusion

Therefore, the equation that can be used to find the amount, $c$, Sammie had in her account before she took the money out is:

$$c = 125$$

This equation represents the initial amount of money that Sammie had in her account before she took $\$25$ out.

Alternative Equation

Another way to represent the equation is to use the given information to set up an equation. We know that Sammie had $\$100$ remaining after taking $\$25$ out of her account. We can set up the equation as follows:

$$c - 25 = 100$$

This equation can be rewritten as:

$$c = 100 + 25$$

Simplifying the equation, we get:

$$c = 125$$

Discussion

This problem is a simple example of how algebraic equations can be used to solve real-world problems. The equation $c = 125$ represents the initial amount of money that Sammie had in her account before she took $\$25$ out. This type of problem can be used to model various real-world scenarios, such as financial transactions, population growth, and more.

Real-World Applications

The concept of algebraic equations can be applied to various real-world scenarios, such as:

• Financial transactions: Algebraic equations can be used to model financial transactions, such as deposits, withdrawals, and interest rates.
• Population growth: Algebraic equations can be used to model population growth, such as the growth of a population over time.
• Science and engineering: Algebraic equations can be used to model various scientific and engineering phenomena, such as the motion of objects, the behavior of electrical circuits, and more.

Conclusion

In conclusion, the equation that can be used to find the amount, $c$, Sammie had in her account before she took the money out is:

$$c = 125$$

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Q: What is the initial amount of money that Sammie had in her account before she took the money out?

A: The initial amount of money that Sammie had in her account before she took the money out is $\$125$.

Q: How do I know that the equation $c = 125$ is correct?

A: The equation $c = 125$ is correct because it is derived from the given information that Sammie had $\$100$ remaining after taking $\$25$ out of her account. By adding $\$25$ to the remaining amount, we get the initial amount of money that Sammie had in her account.

Q: Can I use a different equation to find the initial amount of money that Sammie had in her account?

A: Yes, you can use a different equation to find the initial amount of money that Sammie had in her account. For example, you can set up the equation $c - 25 = 100$ and solve for $c$. This will also give you the initial amount of money that Sammie had in her account.

Q: How do I know that the equation $c - 25 = 100$ is equivalent to the equation $c = 125$?

A: The equation $c - 25 = 100$ is equivalent to the equation $c = 125$ because they both represent the same relationship between the initial amount of money and the remaining amount. By adding $\$25$ to both sides of the equation $c - 25 = 100$, we get the equation $c = 125$.

Q: Can I use algebraic equations to solve other problems like this one?

A: Yes, you can use algebraic equations to solve other problems like this one. Algebraic equations can be used to model various real-world scenarios, such as financial transactions, population growth, and more.

Q: How do I know that the concept of algebraic equations is useful in real-world applications?

A: The concept of algebraic equations is useful in real-world applications because it can be used to model various phenomena, such as financial transactions, population growth, and more. Algebraic equations can help us understand and analyze complex systems, making it a valuable tool for problem-solving and modeling.

Q: Can I use algebraic equations to solve problems that involve multiple variables?

A: Yes, you can use algebraic equations to solve problems that involve multiple variables. Algebraic equations can be used to model systems with multiple variables, such as financial transactions, population growth, and more.

Q: How do I know that the concept of algebraic equations is applicable to various fields?

A: The concept of algebraic equations is applicable to various fields, such as finance, science, engineering, and more. Algebraic equations can be used to model various phenomena, making it a valuable tool for problem-solving and modeling.

Conclusion

In conclusion, the equation $c = 125$ represents the initial amount of money that Sammie had in her account before she took the money out. Algebraic equations can be used to model various real-world scenarios, making it a valuable tool for problem-solving and modeling.