Jordan Paid $45 For A Series Of Graphic Novel Books That Had Been Marked Down 10%. What Was The Original Price Of The Book Series? A Diagram May Be Useful.
Introduction
In the world of mathematics, discounts and percentages can sometimes seem like a puzzle waiting to be solved. In this article, we will delve into the world of percentages and discounts to uncover the original price of a series of graphic novel books. With a marked-down price of $45 and a 10% discount, we will use mathematical concepts to find the original price of the book series.
Understanding the Problem
Jordan paid $45 for a series of graphic novel books that had been marked down 10%. To find the original price of the book series, we need to understand the concept of discounts and percentages. A discount is a reduction in the price of an item, and a percentage is a way to express a proportion of a whole.
The Formula for Discounts
The formula for discounts is:
Discounted Price = Original Price - (Original Price x Discount Percentage)
In this case, the discounted price is $45, and the discount percentage is 10%. We need to find the original price of the book series.
Setting Up the Equation
Let's set up the equation using the formula for discounts:
$45 = Original Price - (Original Price x 0.10)
To simplify the equation, we can multiply the original price by 0.10 to get the discount amount:
$45 = Original Price - $0.10(Original Price)
Simplifying the Equation
Now, let's simplify the equation by combining like terms:
$45 = Original Price - $0.10(Original Price) $45 = Original Price(1 - 0.10) $45 = Original Price(0.90)
Solving for the Original Price
To solve for the original price, we can divide both sides of the equation by 0.90:
Original Price = $45 / 0.90
Calculating the Original Price
Now, let's calculate the original price:
Original Price = $50
Conclusion
In this article, we used mathematical concepts to find the original price of a series of graphic novel books. With a marked-down price of $45 and a 10% discount, we were able to use the formula for discounts to uncover the original price of the book series. The original price of the book series is $50.
Diagram: Discounted Price Formula
Here is a diagram illustrating the discounted price formula:
Discounted Price = Original Price - (Original Price x Discount Percentage)
Diagram: Solving for the Original Price
Here is a diagram illustrating the steps to solve for the original price:
$45 = Original Price - $0.10(Original Price)
$45 = Original Price(1 - 0.10)
$45 = Original Price(0.90)
Original Price = $45 / 0.90
Original Price = $50
Real-World Applications
Understanding discounts and percentages is an essential skill in real-world applications. In business, discounts are often used to attract customers and increase sales. In finance, understanding discounts and percentages is crucial for making informed investment decisions.
Final Thoughts
Introduction
In our previous article, we solved the discounted price puzzle to find the original price of a series of graphic novel books. In this article, we will answer some frequently asked questions about discounts and percentages.
Q: What is a discount?
A discount is a reduction in the price of an item. It is a way to express a percentage of the original price that is being subtracted from the original price.
Q: What is a percentage?
A percentage is a way to express a proportion of a whole. It is a number that represents a part of 100. For example, 10% is equal to 0.10.
Q: How do I calculate a discount?
To calculate a discount, you need to multiply the original price by the discount percentage. For example, if the original price is $100 and the discount is 10%, the discount amount is $10.
Q: How do I calculate the original price after a discount?
To calculate the original price after a discount, you need to divide the discounted price by the percentage of the original price that is being kept. For example, if the discounted price is $90 and the discount is 10%, the original price is $100.
Q: What is the formula for discounts?
The formula for discounts is:
Discounted Price = Original Price - (Original Price x Discount Percentage)
Q: How do I calculate the discount percentage?
To calculate the discount percentage, you need to divide the discount amount by the original price and multiply by 100. For example, if the discount amount is $10 and the original price is $100, the discount percentage is 10%.
Q: What is the difference between a discount and a sale?
A discount is a reduction in the price of an item, while a sale is a promotion that offers a discount on a specific item or group of items.
Q: Can I use a discount on a sale?
Yes, you can use a discount on a sale. However, the discount will be applied to the sale price, not the original price.
Q: How do I calculate the total cost of an item with a discount?
To calculate the total cost of an item with a discount, you need to subtract the discount amount from the original price. For example, if the original price is $100 and the discount is $10, the total cost is $90.
Q: Can I use a discount on a gift card?
Yes, you can use a discount on a gift card. However, the discount will be applied to the gift card balance, not the original price.
Q: How do I calculate the discount on a gift card?
To calculate the discount on a gift card, you need to subtract the discount amount from the gift card balance. For example, if the gift card balance is $100 and the discount is $10, the new balance is $90.
Conclusion
In this article, we answered some frequently asked questions about discounts and percentages. We hope that this article has helped you to understand the concept of discounts and percentages and how to apply them in real-world situations.
Real-World Applications
Understanding discounts and percentages is an essential skill in real-world applications. In business, discounts are often used to attract customers and increase sales. In finance, understanding discounts and percentages is crucial for making informed investment decisions.
Final Thoughts
In conclusion, discounts and percentages are an essential part of mathematics and finance. By understanding the concept of discounts and percentages, you can make informed decisions and save money in the long run.