Calculating the Amount of Money Left

Oct 13, 2025 by talynt.org 16 views

Introduction

In this article, we will be solving a simple algebraic equation to determine the value of a variable, e. The equation is given as:

150 = e + 42

e =

We will break down the solution step by step, and then calculate the amount of money left if $15 is remaining.

Step 1: Simplify the Equation

The first step in solving the equation is to simplify it by combining like terms. In this case, we can add 42 and 120 to get:

150 = e + 162

Step 2: Isolate the Variable

To isolate the variable e, we need to get rid of the constant term on the right-hand side of the equation. We can do this by subtracting 162 from both sides of the equation:

150 - 162 = e

-12 = e

Step 3: Calculate the Amount of Money Left

Now that we have found the value of e, we can calculate the amount of money left if $15 is remaining. Since e represents the amount of money left, we can set up the equation:

e = 15

Substituting the value of e that we found earlier, we get:

-12 = 15

This equation is not true, which means that our initial assumption that $15 is remaining is incorrect. However, we can still use the value of e to calculate the amount of money left.

Calculating the Amount of Money Left

To calculate the amount of money left, we need to subtract the value of e from the initial amount of money. In this case, the initial amount of money is $150. We can set up the equation:

Amount of money left = 150 - e

Substituting the value of e that we found earlier, we get:

Amount of money left = 150 - (-12)

Amount of money left = 150 + 12

Amount of money left = 162

Therefore, the amount of money left is $162.

Conclusion

In this article, we solved a simple algebraic equation to determine the value of a variable, e. We then used the value of e to calculate the amount of money left if $15 is remaining. Our results showed that the amount of money left is $162.

Mathematical Concepts

This article covers the following mathematical concepts:

Algebraic equations: We solved a simple algebraic equation to determine the value of a variable, e.
Like terms: We combined like terms to simplify the equation.
Isolating variables: We isolated the variable e by subtracting a constant term from both sides of the equation.
Subtraction: We used subtraction to calculate the amount of money left.

Real-World Applications

This article has real-world applications in the following areas:

Finance: We used algebraic equations to calculate the amount of money left, which is a common task in finance.
Accounting: We used subtraction to calculate the amount of money left, which is a common task in accounting.
Business: We used algebraic equations to determine the value of a variable, e, which is a common task in business.

Future Research Directions

This article has the following future research directions:

Solving more complex algebraic equations: We can solve more complex algebraic equations to determine the value of variables.
Applying algebraic equations to real-world problems: We can apply algebraic equations to real-world problems in finance, accounting, and business.
Developing new mathematical concepts: We can develop new mathematical concepts to solve more complex algebraic equations.
Solving the Equation: A Q&A Guide =====================================

Introduction

In our previous article, we solved a simple algebraic equation to determine the value of a variable, e. We then used the value of e to calculate the amount of money left if $15 is remaining. In this article, we will answer some frequently asked questions about solving the equation.

Q&A

Q: What is the value of e in the equation 150 = e + 42?

A: The value of e is -12.

Q: How did you simplify the equation 150 = e + 42?

A: We added 42 and 120 to get 162, and then subtracted 162 from both sides of the equation to isolate the variable e.

Q: Why did you subtract 162 from both sides of the equation?

A: We subtracted 162 from both sides of the equation to isolate the variable e. This is because the constant term on the right-hand side of the equation is 162, and we want to get rid of it to find the value of e.

Q: How did you calculate the amount of money left if $15 is remaining?

A: We set up the equation e = 15, but this equation is not true. Instead, we used the value of e that we found earlier to calculate the amount of money left. We subtracted the value of e from the initial amount of money, which is $150.

Q: What is the amount of money left if $15 is remaining?

A: The amount of money left is $162.

Q: Can you explain the concept of like terms in the equation 150 = e + 42?

A: Like terms are terms that have the same variable or constant. In the equation 150 = e + 42, the terms 42 and 120 are like terms because they both have the same constant. We can add these terms together to get 162.

Q: Can you explain the concept of isolating variables in the equation 150 = e + 42?

A: Isolating variables means getting rid of the constant term on the right-hand side of the equation to find the value of the variable. In the equation 150 = e + 42, we subtracted 162 from both sides of the equation to isolate the variable e.

Q: Can you explain the concept of subtraction in the equation 150 = e + 42?

A: Subtraction is the process of finding the difference between two numbers. In the equation 150 = e + 42, we subtracted 162 from both sides of the equation to find the value of e.