Calculating Remaining Seats

Oct 13, 2025 by vinooalluri.com 64 views

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Introduction

In this problem, we are given a school bus with 22 rows of seats, and each row can accommodate 4 students. The students have filled 19 rows of seats and half of the remaining seats. We need to find out how many seats on the bus are empty.

Calculating Total Seats

To start solving this problem, we first need to calculate the total number of seats on the bus. Since there are 22 rows of seats, and each row can accommodate 4 students, the total number of seats can be calculated as follows:

Total\ seats = 22 \times 4 = 88

Calculating Filled Seats

Next, we need to calculate the number of seats that are filled by the students. We are given that 19 rows of seats are filled, and each row can accommodate 4 students. Therefore, the number of filled seats can be calculated as follows:

Filled\ seats = 19 \times 4 = 76

Calculating Remaining Seats

Now, we need to calculate the number of remaining seats on the bus. Since there are 88 total seats and 76 filled seats, the number of remaining seats can be calculated as follows:

Remaining\ seats = 88 - 76 = 12

Calculating Occupied Remaining Seats

We are given that half of the remaining seats are occupied by students. Therefore, the number of occupied remaining seats can be calculated as follows:

Occupied\ remaining\ seats = \frac{1}{2} \times 12 = 6

Calculating Empty Seats

Finally, we can calculate the number of empty seats on the bus by subtracting the occupied remaining seats from the remaining seats:

Empty\ seats = 12 - 6 = 6

Conclusion

In this problem, we calculated the total number of seats on the bus, the number of filled seats, the number of remaining seats, the number of occupied remaining seats, and finally, the number of empty seats. We found that there are 6 empty seats on the bus.

Discussion

This problem involves basic arithmetic operations such as multiplication, subtraction, and division. It also involves understanding the concept of fractions and percentages. The problem requires the student to break down the problem into smaller steps, calculate the values, and finally, arrive at the solution.

Real-World Applications

This problem has real-world applications in various fields such as transportation, logistics, and management. For example, in a school bus, the driver needs to know the number of empty seats to ensure that there is enough space for all the students. Similarly, in a logistics company, the manager needs to know the number of empty seats in a truck to plan the transportation of goods.

Tips and Tricks

To solve this problem, the student needs to follow the order of operations (PEMDAS) and break down the problem into smaller steps. The student should also use visual aids such as diagrams or charts to help them understand the problem better.

Practice Problems

Here are some practice problems that the student can try to solve:

A school bus has 25 rows of seats, and each row can accommodate 5 students. If 20 rows of seats are filled, how many seats are empty?
A truck has 30 seats, and each seat can accommodate 2 boxes. If 20 seats are filled, how many boxes can be transported?
A school has 20 classrooms, and each classroom can accommodate 30 students. If 15 classrooms are filled, how many students are in the school?

Solutions

Here are the solutions to the practice problems:

A school bus has 25 rows of seats, and each row can accommodate 5 students. If 20 rows of seats are filled, how many seats are empty?

Total\ seats = 25 \times 5 = 125 Filled\ seats = 20 \times 5 = 100 Remaining\ seats = 125 - 100 = 25 Empty\ seats = 25


*   A truck has 30 seats, and each seat can accommodate 2 boxes. If 20 seats are filled, how many boxes can be transported?
```math

Total\ boxes = 30 \times 2 = 60
Filled\ seats = 20
Filled\ boxes = 20 \times 2 = 40
Remaining\ boxes = 60 - 40 = 20

A school has 20 classrooms, and each classroom can accommodate 30 students. If 15 classrooms are filled, how many students are in the school?

Total\ students = 20 \times 30 = 600 Filled\ classrooms = 15 Filled\ students = 15 \times 30 = 450 Remaining\ students = 600 - 450 = 150

## Conclusion -------------- In this article, we solved a school bus seating problem and calculated the number of empty seats on the bus. We also provided practice problems and solutions to help the student understand the concept better. The problem involves basic arithmetic operations and understanding of fractions and percentages. The student needs to follow the order of operations (PEMDAS) and break down the problem into smaller steps to arrive at the solution.<br/> Introduction In our previous article, we solved a school bus seating problem and calculated the number of empty seats on the bus. In this article, we will provide a Q&A section to help students understand the problem better and to clarify any doubts they may have. Q&A Q1: What is the total number of seats on the bus? A1: The total number of seats on the bus is 88. Q2: How many rows of seats are filled by the students? A2: 19 rows of seats are filled by the students. Q3: How many seats are filled by the students? A3: The number of seats filled by the students is 76. Q4: How many remaining seats are there on the bus? A4: The number of remaining seats on the bus is 12. Q5: How many occupied remaining seats are there on the bus? A5: The number of occupied remaining seats on the bus is 6. Q6: How many empty seats are there on the bus? A6: The number of empty seats on the bus is 6. Q7: What is the order of operations (PEMDAS) that we need to follow to solve this problem? A7: The order of operations (PEMDAS) that we need to follow is: Parentheses Exponents Multiplication and Division (from left to right) Addition and Subtraction (from left to right) Q8: Why do we need to break down the problem into smaller steps? A8: We need to break down the problem into smaller steps to make it easier to understand and to avoid making mistakes. Q9: What are some real-world applications of this problem? A9: Some real-world applications of this problem include: Transportation: The driver needs to know the number of empty seats to ensure that there is enough space for all the students. Logistics: The manager needs to know the number of empty seats in a truck to plan the transportation of goods. Q10: What are some tips and tricks to help us solve this problem? A10: Some tips and tricks to help us solve this problem include: Using visual aids such as diagrams or charts to help us understand the problem better. Breaking down the problem into smaller steps to make it easier to understand. Following the order of operations (PEMDAS) to avoid making mistakes. Conclusion In this article, we provided a Q&A section to help students understand the school bus seating problem better and to clarify any doubts they may have. We also provided some real-world applications and tips and tricks to help students solve the problem. Practice Problems Here are some practice problems that students can try to solve: A school bus has 25 rows of seats, and each row can accommodate 5 students. If 20 rows of seats are filled, how many seats are empty? A truck has 30 seats, and each seat can accommodate 2 boxes. If 20 seats are filled, how many boxes can be transported? A school has 20 classrooms, and each classroom can accommodate 30 students. If 15 classrooms are filled, how many students are in the school? Solutions Here are the solutions to the practice problems: A school bus has 25 rows of seats, and each row can accommodate 5 students. If 20 rows of seats are filled, how many seats are empty?

Total\ seats = 25 \times 5 = 125 Filled\ seats = 20 \times 5 = 100 Remaining\ seats = 125 - 100 = 25 Empty\ seats = 25

A truck has 30 seats, and each seat can accommodate 2 boxes. If 20 seats are filled, how many boxes can be transported?

Total\ boxes = 30 \times 2 = 60 Filled\ seats = 20 Filled\ boxes = 20 \times 2 = 40 Remaining\ boxes = 60 - 40 = 20

* A school has 20 classrooms, and each classroom can accommodate 30 students. If 15 classrooms are filled, how many students are in the school? ```math

Total\ students = 20 \times 30 = 600 Filled\ classrooms = 15 Filled\ students = 15 \times 30 = 450 Remaining\ students = 600 - 450 = 150

Conclusion

In this article, we provided a Q&A section to help students understand the school bus seating problem better and to clarify any doubts they may have. We also provided some real-world applications and tips and tricks to help students solve the problem.