A School Bus Has 22 Rows Of Seats, And 4 Students Can Be Seated In Each Row. Students Riding In The Bus Have Filled 19 Rows Of Seats And { \frac{1}{2}$}$ Of The Remaining Seats. How Many Seats On The Bus Are Empty (e)?

Mar 12, 2025 by ADMIN 219 views

A School Bus Seating Problem: Finding the Number of Empty Seats

Introduction

Mathematics is a fascinating subject that is all around us, from the intricate patterns on a butterfly's wings to the complex calculations involved in designing a school bus. In this article, we will delve into a real-world problem involving a school bus with 22 rows of seats, each capable of accommodating 4 students. We will explore how to determine the number of empty seats on the bus, given that students have filled 19 rows of seats and half of the remaining seats.

Understanding the Problem

Let's break down the problem step by step. We have a school bus with 22 rows of seats, and each row can accommodate 4 students. This means that the total number of seats on the bus is 22 x 4 = 88. However, students have filled 19 rows of seats, which means that 19 x 4 = 76 seats are occupied. The remaining seats are those that are not occupied by students.

Calculating the Remaining Seats

To find the number of remaining seats, we subtract the number of occupied seats from the total number of seats. This gives us 88 - 76 = 12 remaining seats.

Filling Half of the Remaining Seats

We are told that students have filled half of the remaining seats. To find the number of seats that are half-filled, we multiply the number of remaining seats by 1/2. This gives us 12 x 1/2 = 6 seats.

Finding the Number of Empty Seats

Now that we know the number of seats that are half-filled, we can find the number of empty seats by subtracting the number of half-filled seats from the number of remaining seats. This gives us 12 - 6 = 6 empty seats.

Conclusion

In conclusion, we have successfully solved the problem of finding the number of empty seats on a school bus with 22 rows of seats, each capable of accommodating 4 students. By following a step-by-step approach, we were able to determine that there are 6 empty seats on the bus.

Step-by-Step Solution

Here is a step-by-step solution to the problem:

Calculate the total number of seats on the bus: 22 x 4 = 88
Calculate the number of occupied seats: 19 x 4 = 76
Calculate the number of remaining seats: 88 - 76 = 12
Calculate the number of seats that are half-filled: 12 x 1/2 = 6
Calculate the number of empty seats: 12 - 6 = 6

Real-World Applications

This problem may seem simple, but it has real-world applications in various fields, such as:

Transportation: Understanding how to calculate the number of empty seats on a bus can help transportation companies optimize their routes and schedules.
Logistics: Calculating the number of empty seats on a bus can also help logistics companies plan their routes and schedules more efficiently.
Mathematics: This problem is a great example of how mathematics is used in real-world applications, and how it can be used to solve problems in various fields.

Final Thoughts

In conclusion, this problem is a great example of how mathematics is used in real-world applications. By following a step-by-step approach, we were able to determine the number of empty seats on a school bus with 22 rows of seats, each capable of accommodating 4 students. We hope that this article has provided you with a better understanding of how mathematics is used in real-world applications, and how it can be used to solve problems in various fields.

Introduction

In our previous article, we explored a real-world problem involving a school bus with 22 rows of seats, each capable of accommodating 4 students. We determined that there are 6 empty seats on the bus, given that students have filled 19 rows of seats and half of the remaining seats. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q: What is the total number of seats on the bus?

A: The total number of seats on the bus is 22 x 4 = 88.

Q: How many rows of seats are filled by students?

A: Students have filled 19 rows of seats.

Q: How many seats are occupied by students?

A: The number of occupied seats is 19 x 4 = 76.

Q: How many remaining seats are there on the bus?

A: The number of remaining seats is 88 - 76 = 12.

Q: How many seats are half-filled by students?

A: Students have filled half of the remaining seats, which is 12 x 1/2 = 6 seats.

Q: How many empty seats are there on the bus?

A: The number of empty seats is 12 - 6 = 6.

Q: What is the ratio of occupied seats to total seats?

A: The ratio of occupied seats to total seats is 76:88 or 6:7.

Q: What is the ratio of empty seats to total seats?

A: The ratio of empty seats to total seats is 6:88 or 1:14.67.

Q: How can this problem be applied in real-world scenarios?

A: This problem can be applied in various real-world scenarios, such as:

Transportation: Understanding how to calculate the number of empty seats on a bus can help transportation companies optimize their routes and schedules.
Logistics: Calculating the number of empty seats on a bus can also help logistics companies plan their routes and schedules more efficiently.
Mathematics: This problem is a great example of how mathematics is used in real-world applications, and how it can be used to solve problems in various fields.

Conclusion

In conclusion, this Q&A article provides a comprehensive overview of the school bus seating problem, including the total number of seats, the number of rows filled by students, the number of occupied seats, the number of remaining seats, the number of seats half-filled by students, and the number of empty seats. We hope that this article has provided you with a better understanding of how mathematics is used in real-world applications.

Additional Resources

For more information on this topic, please refer to the following resources:

Mathematics textbooks: Many mathematics textbooks cover topics related to ratios, proportions, and algebra.
Online resources: Websites such as Khan Academy, Mathway, and Wolfram Alpha provide interactive lessons and exercises on various mathematical topics.
Real-world applications: Look for real-world applications of mathematics in various fields, such as transportation, logistics, and science.