Solving for the Regular Price

Oct 13, 2025 by talynt.org 149 views

Matias' Stepmother's Shopping Experience

Matias' stepmother is a savvy shopper who knows how to make the most of her coupons. She recently used a 30%-off coupon to buy the ingredients for her favorite dish, huevos rancheros. With the coupon, she was able to spend only $\$28$ on the ingredients. But how much did the ingredients cost before the discount? In this article, we will explore the problem and find the regular price of the ingredients.

The Problem

Let's denote the regular price of the ingredients as $r$ . Since Matias' stepmother used a 30%-off coupon, she paid only 70% of the regular price. We can represent this as:

0.7r = 28

Solving for the Regular Price

To find the regular price, we need to isolate $r$ on one side of the equation. We can do this by dividing both sides of the equation by 0.7:

r = \frac{28}{0.7}

Calculating the Regular Price

Now, let's calculate the regular price:

r = \frac{28}{0.7} = 40

Conclusion

The regular price of the ingredients before the discount is $\$40$ . Matias' stepmother was able to save 30% of the regular price by using the coupon, which is a great deal.

Understanding the Math Behind the Problem

The problem involves a simple algebraic equation, where we need to isolate the variable $r$ on one side of the equation. We can use the following steps to solve the equation:

Write the equation: $0.7r = 28$
Divide both sides of the equation by 0.7: $r = \frac{28}{0.7}$
Calculate the value of $r$ : $r = 40$

Real-World Applications

This problem has real-world applications in various fields, such as:

Shopping: When shopping, we often encounter discounts and coupons that can help us save money. Understanding how to calculate the regular price of an item can help us make informed purchasing decisions.
Finance: In finance, understanding how to calculate the regular price of an item can help us make informed investment decisions.
Business: In business, understanding how to calculate the regular price of an item can help us set prices for our products and services.

Tips and Tricks

Here are some tips and tricks to help you solve similar problems:

Read the problem carefully: Before solving the problem, read it carefully to understand what is being asked.
Use algebraic equations: Algebraic equations can help you isolate the variable and solve the problem.
Check your work: Once you have solved the problem, check your work to ensure that it is correct.

Conclusion

Frequently Asked Questions

In our previous article, we explored the problem of finding the regular price of the ingredients for huevos rancheros before the discount. We also discussed the math behind the problem and provided real-world applications. In this article, we will answer some frequently asked questions related to the problem.

Q: What is the regular price of the ingredients?

A: The regular price of the ingredients is $\$40$ .

Q: How much did Matias' stepmother pay for the ingredients?

A: Matias' stepmother paid $\$28$ for the ingredients, which is 30% less than the regular price.

Q: What is the discount percentage?

A: The discount percentage is 30%.

Q: How can I calculate the regular price of an item?

A: To calculate the regular price of an item, you can use the following formula:

r = \frac{p}{1 - d}

where $r$ is the regular price, $p$ is the price paid, and $d$ is the discount percentage.

Q: What is the formula for calculating the regular price?

A: The formula for calculating the regular price is:

r = \frac{p}{1 - d}

Q: How can I use the formula to calculate the regular price?

A: To use the formula, you can plug in the values for $p$ and $d$ . For example, if the price paid is $\$28$ and the discount percentage is 30%, you can calculate the regular price as follows:

r = \frac{28}{1 - 0.3}

r = \frac{28}{0.7}

r = 40

Q: What are some real-world applications of this problem?

A: Some real-world applications of this problem include:

Shopping: When shopping, we often encounter discounts and coupons that can help us save money. Understanding how to calculate the regular price of an item can help us make informed purchasing decisions.
Finance: In finance, understanding how to calculate the regular price of an item can help us make informed investment decisions.
Business: In business, understanding how to calculate the regular price of an item can help us set prices for our products and services.

Q: What are some tips and tricks for solving similar problems?

A: Some tips and tricks for solving similar problems include:

Read the problem carefully: Before solving the problem, read it carefully to understand what is being asked.
Use algebraic equations: Algebraic equations can help you isolate the variable and solve the problem.
Check your work: Once you have solved the problem, check your work to ensure that it is correct.

Conclusion

In conclusion, we have answered some frequently asked questions related to the problem of finding the regular price of the ingredients for huevos rancheros before the discount. We have also provided real-world applications and tips and tricks for solving similar problems.