Finding the Cost of the Pants

Oct 13, 2025 by miodeya.com 10 views

Introduction

Mathematics is a fundamental subject that plays a crucial role in our daily lives. It is used in various fields, including finance, science, and engineering. In this article, we will explore a simple math problem that involves basic algebra and arithmetic operations. The problem is as follows: A pair of pants and a shirt cost $32. If the pants cost $6.28 more than the shirt, how much did the pants cost?

Understanding the Problem

To solve this problem, we need to understand the given information and identify the unknown variable. The problem states that a pair of pants and a shirt cost $32. This means that the total cost of the pants and the shirt is $32. Let's assume that the cost of the shirt is x dollars. Since the pants cost $6.28 more than the shirt, the cost of the pants is x + 6.28 dollars.

Setting Up the Equation

We can set up an equation to represent the given information. The equation is as follows:

x + (x + 6.28) = 32

Solving the Equation

To solve the equation, we need to combine like terms and isolate the variable x. Let's start by combining the x terms:

2x + 6.28 = 32

Next, we need to isolate the x term by subtracting 6.28 from both sides of the equation:

2x = 32 - 6.28 2x = 25.72

Finding the Value of x

Now that we have isolated the x term, we can find the value of x by dividing both sides of the equation by 2:

x = 25.72 / 2 x = 12.86

Finding the Cost of the Pants

Now that we have found the value of x, we can find the cost of the pants by adding $6.28 to the cost of the shirt:

Cost of pants = x + 6.28 Cost of pants = 12.86 + 6.28 Cost of pants = 19.14

Conclusion

In this article, we solved a simple math problem that involved basic algebra and arithmetic operations. We set up an equation to represent the given information, combined like terms, and isolated the variable x. We then found the value of x and used it to find the cost of the pants. The cost of the pants is $19.14.

Real-World Applications

This math problem has real-world applications in finance, accounting, and business. For example, a store owner needs to calculate the cost of a pair of pants and a shirt to determine the total cost of the items. The store owner can use the same equation and solution to find the cost of the pants.

Tips and Tricks

Here are some tips and tricks to help you solve this math problem:

Read the problem carefully and identify the given information.
Set up an equation to represent the given information.
Combine like terms and isolate the variable.
Use arithmetic operations to find the value of the variable.
Check your solution by plugging it back into the original equation.

Common Mistakes

Here are some common mistakes to avoid when solving this math problem:

Not reading the problem carefully and identifying the given information.
Not setting up an equation to represent the given information.
Not combining like terms and isolating the variable.
Not using arithmetic operations to find the value of the variable.
Not checking the solution by plugging it back into the original equation.

Final Thoughts

In conclusion, this math problem is a simple example of how algebra and arithmetic operations can be used to solve real-world problems. By following the steps outlined in this article, you can solve this problem and apply the same techniques to more complex math problems. Remember to read the problem carefully, set up an equation, combine like terms, and use arithmetic operations to find the value of the variable.