Solving for X: A Comprehensive Guide with Real-Life Applications

Solving for X is a fundamental concept in mathematics, which finds its application in a multitude of real-life scenarios. This article will explore a particular problem, 48 of 48 equaling 64 of X, and walk you through the process of solving it. This example not only serves as a practical tutorial but also highlights the importance of percentage calculation and equation solving in various fields.

Understanding the Equation: 48 of 48 64 of X

The given problem is a straightforward example of percentage calculation. It asks us to find the value of X such that 48 out of 48 is equivalent to 64 out of X. In mathematical terms, this can be represented as:

48 × 48/100 64X/100

Step-by-Step Solution

Let's break down the problem into manageable steps and solve it with clarity.

Step 1: Simplify the Equation

First, let's simplify the left side of the equation:

48 × 48/100 2304/100

Step 2: Set Up the Equation

Now, we equate the simplified left side to the right side:

2304/100 64X/100

Step 3: Eliminate the Denominator

To eliminate the denominator, we can multiply both sides of the equation by 100:

2304 64X

Step 4: Solve for X

Now, we need to isolate X by dividing both sides of the equation by 64:

X 2304/64

Step 5: Simplify the Result

Finally, we simplify the result to find the value of X:

X 36

Real-Life Applications of Equation Solving

The problem we solved has practical applications in various fields. Here are a few examples:

1. Financial Analysis

Suppose you are an investor looking to allocate your investments. If you know that a certain percentage of your total investments (48 in our problem) needs to be set aside for a specific purpose (64 in our problem), you can use this method to determine the exact amount you need to allocate.

2. Data Analysis

Researchers often need to determine the percentage of a sample that meets a specific criteria. This problem can be used to find out how much of a larger sample set (X) needs to meet the criteria (48) to achieve a specific percentage (64).

3. Education Assessment

In education, teachers might use this method to assess how many questions need to be marked correctly (48 out of 48) to achieve a certain target percentage (64 for other assessments).

Conclusion

Understanding how to solve for X is a valuable skill in mathematics, with wide-ranging applications in real life. By practicing such problems, one can enhance their problem-solving skills and apply these techniques in various professional and personal scenarios.