Calculating the Number of Boards

Oct 13, 2025 by miodeya.com 44 views

Introduction

In this problem, we are given a budget of $880.00 for putting up new street name boards, and each street name board costs $8.134. We need to find out how many boards can be erected within the given budget and how much of the budget will remain.

Calculating the Number of Boards

To find out how many boards can be erected, we need to divide the total budget by the cost of each board.

Let's use the formula:

Number of boards = Total budget ÷ Cost of each board

Number of boards = $880.00 ÷ $8.134

Number of boards ≈ 108.19

Since we cannot have a fraction of a board, we will round down to the nearest whole number. Therefore, the municipality can erect approximately 107 street name boards.

Calculating the Remaining Budget

To find out how much of the budget will remain, we need to subtract the total cost of the boards from the total budget.

Let's use the formula:

Remaining budget = Total budget - Total cost of boards

Total cost of boards = Number of boards × Cost of each board

Total cost of boards = 107 × $8.134

Total cost of boards ≈ $871.58

Remaining budget = $880.00 - $871.58

Remaining budget ≈ $8.42

Conclusion

In conclusion, the municipality can erect approximately 107 street name boards within the given budget of $880.00. The remaining budget will be approximately $8.42.

Real-World Application

This problem has a real-world application in municipal budgeting. Municipalities often have to allocate funds for various projects, including street name boards. By using mathematical calculations, they can determine how many boards can be erected within their budget and make informed decisions about their spending.

Tips for Municipalities

Here are some tips for municipalities when allocating funds for street name boards:

Plan ahead: Municipalities should plan ahead and allocate funds for street name boards in their budget.
Calculate costs: Municipalities should calculate the cost of each board and the total cost of the boards to determine how many boards can be erected within their budget.
Consider alternatives: Municipalities should consider alternatives to traditional street name boards, such as digital signs or temporary signs.
Prioritize: Municipalities should prioritize their spending and allocate funds for the most important projects.

Frequently Asked Questions

Here are some frequently asked questions about this problem:

Q: How many boards can be erected within the given budget? A: Approximately 107 street name boards can be erected within the given budget of $880.00.
Q: How much of the budget will remain? A: Approximately $8.42 of the budget will remain.
Q: What is the cost of each board? A: The cost of each board is $8.134.
Q: What is the total budget? A: The total budget is $880.00.

References

[1] Municipal Budgeting 101. (n.d.). Retrieved from https://www.municipalbudgeting101.com/
[2] Street Name Boards. (n.d.). Retrieved from https://www.streetnameboards.com/

Note: The references provided are fictional and for demonstration purposes only.

Introduction

In our previous article, we discussed how a municipality can calculate the number of street name boards that can be erected within a given budget of $880.00, and how much of the budget will remain. In this article, we will provide a Q&A section to address some of the most frequently asked questions about this problem.

Q&A

Q: How many boards can be erected within the given budget?

A: Approximately 107 street name boards can be erected within the given budget of $880.00.

Q: How much of the budget will remain?

A: Approximately $8.42 of the budget will remain.

Q: What is the cost of each board?

A: The cost of each board is $8.134.

Q: What is the total budget?

A: The total budget is $880.00.

Q: Can I use a calculator to calculate the number of boards?

A: Yes, you can use a calculator to calculate the number of boards. Simply divide the total budget by the cost of each board.

Q: What if the cost of each board changes?

A: If the cost of each board changes, you will need to recalculate the number of boards that can be erected within the given budget.

Q: Can I use a spreadsheet to calculate the number of boards?

A: Yes, you can use a spreadsheet to calculate the number of boards. Simply set up a formula to divide the total budget by the cost of each board.

Q: What if I have a different budget?

A: If you have a different budget, you will need to recalculate the number of boards that can be erected within that budget.

Q: Can I use this formula for other types of projects?

A: Yes, you can use this formula for other types of projects where you need to calculate the number of items that can be purchased within a given budget.

Q: What is the formula for calculating the number of boards?

A: The formula for calculating the number of boards is:

Number of boards = Total budget ÷ Cost of each board

Q: What if I have a remainder?

A: If you have a remainder, you can round down to the nearest whole number to determine the number of boards that can be erected.