Understanding the Original Price

Oct 13, 2025 by leolavanderia.com.br 27 views

Introduction

When it comes to purchasing a mountain bike, the original price is a crucial factor that determines the final cost. However, in some cases, the original price may be reduced due to various reasons such as sales, discounts, or promotions. In this article, we will explore how to represent the reduced price of a mountain bike using an algebraic expression.

Understanding the Original Price

Let's assume that the original price of the mountain bike is denoted by the variable $p$ . This means that the original price is equal to $p$ dollars. For example, if the original price is $500, then $p = 500$ .

Reducing the Original Price

The problem states that the original price of the mountain bike was reduced by $\$125$ . This means that the reduced price is equal to the original price minus the reduction amount. In other words, the reduced price is equal to $p - 125$ .

Algebraic Expression for Reduced Price

To represent the reduced price using an algebraic expression, we can use the variable $p$ to denote the original price and subtract the reduction amount of $\$125$ . The resulting expression is:

\text{Reduced Price} = p - 125

This expression represents the reduced price of the mountain bike in terms of the original price $p$ .

Comparison with Other Options

Let's compare the expression $p - 125$ with the other options provided:

Option A: $p - 125$
Option B: $125 + p$
Option C: (not provided)

The expression $p - 125$ is the correct algebraic expression that represents the reduced price of the mountain bike. This is because it subtracts the reduction amount of $\$125$ from the original price $p$ .

Conclusion

In conclusion, the algebraic expression that represents the reduced price of a mountain bike is $p - 125$ . This expression takes into account the original price $p$ and subtracts the reduction amount of $\$125$ to obtain the reduced price. By using this expression, we can easily calculate the reduced price of a mountain bike based on its original price.

Frequently Asked Questions

Q: What is the algebraic expression for the reduced price of a mountain bike? A: The algebraic expression for the reduced price of a mountain bike is $p - 125$ .
Q: How do I calculate the reduced price of a mountain bike? A: To calculate the reduced price, subtract the reduction amount of $\$125$ from the original price $p$ .
Q: What is the original price of the mountain bike? A: The original price of the mountain bike is denoted by the variable $p$ .

Final Thoughts

In this article, we explored how to represent the reduced price of a mountain bike using an algebraic expression. We discussed the original price, reduction amount, and algebraic expression for the reduced price. By using the expression $p - 125$ , we can easily calculate the reduced price of a mountain bike based on its original price.

Introduction

In our previous article, we explored how to represent the reduced price of a mountain bike using an algebraic expression. We discussed the original price, reduction amount, and algebraic expression for the reduced price. In this article, we will provide a Q&A section to address some common questions and concerns related to the original price of a mountain bike.

Q&A

Q: What is the original price of the mountain bike?

A: The original price of the mountain bike is denoted by the variable $p$ . This means that the original price is equal to $p$ dollars.

Q: How do I calculate the reduced price of a mountain bike?

A: To calculate the reduced price, subtract the reduction amount of $\$125$ from the original price $p$ . The resulting expression is:

\text{Reduced Price} = p - 125

Q: What is the reduction amount?

A: The reduction amount is $\$125$ . This is the amount by which the original price of the mountain bike is reduced.

Q: How do I determine the original price of the mountain bike?

A: The original price of the mountain bike is denoted by the variable $p$ . You can determine the original price by using the expression $p = \text{original price}$ .

Q: Can I use a different reduction amount?

A: Yes, you can use a different reduction amount. For example, if the reduction amount is $\$200$ , the expression for the reduced price would be:

\text{Reduced Price} = p - 200

Q: How do I represent the reduced price as a percentage of the original price?

A: To represent the reduced price as a percentage of the original price, you can use the expression:

\text{Percentage Reduction} = \left( \frac{\text{reduction amount}}{\text{original price}} \right) \times 100\%

For example, if the reduction amount is $\$125$ and the original price is $500, the percentage reduction would be:

\text{Percentage Reduction} = \left( \frac{125}{500} \right) \times 100\% = 25\%

Q: Can I use this expression to calculate the reduced price of a different product?

A: Yes, you can use this expression to calculate the reduced price of a different product. Simply substitute the original price and reduction amount of the product into the expression.

Conclusion

In conclusion, we have provided a Q&A section to address some common questions and concerns related to the original price of a mountain bike. We have discussed the original price, reduction amount, and algebraic expression for the reduced price. By using the expression $p - 125$ , we can easily calculate the reduced price of a mountain bike based on its original price.

Frequently Asked Questions

Q: What is the algebraic expression for the reduced price of a mountain bike? A: The algebraic expression for the reduced price of a mountain bike is $p - 125$ .
Q: How do I calculate the reduced price of a mountain bike? A: To calculate the reduced price, subtract the reduction amount of $\$125$ from the original price $p$ .
Q: What is the original price of the mountain bike? A: The original price of the mountain bike is denoted by the variable $p$ .

Final Thoughts

In this article, we have provided a Q&A section to address some common questions and concerns related to the original price of a mountain bike. We have discussed the original price, reduction amount, and algebraic expression for the reduced price. By using the expression $p - 125$ , we can easily calculate the reduced price of a mountain bike based on its original price.