Understanding Percentage Calculation with an Example: 25 Students, 4 Failures

When dealing with number-based problems, especially in educational settings, understanding the basics of percentage calculations is essential. Let's explore a practical example where 25 students took an exam and 4 of them failed. This example will help you understand the process of calculating the percentage of students who passed the exam.

Basic Problem Setup

The scenario is straightforward: 25 students sat for a test, and 4 of them did not pass. This means that 21 students successfully cleared the exam. We need to determine what percentage of the total students passed the exam. Let's break it down step by step.

Step-by-Step Solution

Step 1: Determine the number of students who passed the exam. This is simply the total number of students minus those who failed.

Total students: 25

Students who failed: 4

So, students who passed 25 - 4 21

Step 2: Calculate the percentage of students who passed. This is done by dividing the number of students who passed by the total number of students and then multiplying by 100.

Percentage of students who passed (21 / 25) x 100 84%

Alternative Calculations

The process of calculating percentages can also be done with the following method:

Step 1: Subtract the number of failures from the total number of students to find the number of students who passed. Step 2: Use the formula: (Students who passed / Total students) x 100 Percentage of students who passed.

Using the above method:

No. of students passed 25 - 4 21

Percentage of students passed (21 / 25) x 100 84%

Additional Insights

It's important to practice these types of problems to improve your math skills and understanding. If you're facing difficulties, it might be a good idea to consult your teacher or use educational tools like UpStudy (formerly CameraMath) to enhance your problem-solving skills.

Conclusion

Understanding and solving percentage problems is a fundamental skill in mathematics. The example of 25 students and 4 failures helps to clarify the steps and processes involved. By practicing such problems, you can improve your confidence and ability to solve similar questions. Don't hesitate to use resources like UpStudy for additional support and practice.