Drag The Tiles To The Correct Boxes To Complete The Pairs.$\[ \begin{tabular}{|l|c|c|} \hline \multicolumn{1}{|c|}{\text{Item}} & \text{Original Price} & \text{Discount} \\ \hline \text{Shirt} & \$15 & 20\% \\ \hline \text{Pair Of Pants} & \$28 &
Introduction
In this article, we will delve into the world of mathematics and explore a problem that involves discounts and pairs. The problem is presented as a puzzle, where we need to drag tiles to the correct boxes to complete the pairs. We will break down the problem step by step, using mathematical concepts and formulas to find the solution.
Understanding the Problem
The problem presents a table with three columns: Item, Original Price, and Discount. The table contains two items: Shirt and Pair of Pants. The original prices of the items are given as $15 and $28, respectively. The discount for each item is also given as 20% and an unknown value, respectively.
Calculating the Discount
To solve the problem, we need to calculate the discount for each item. The discount is given as a percentage of the original price. We can use the formula for calculating the discount:
Discount = (Original Price x Discount Percentage) / 100
For the Shirt, the discount is 20% of the original price of $15:
Discount = ($15 x 20) / 100 = $3
So, the discount for the Shirt is $3.
Finding the Unknown Discount
For the Pair of Pants, the discount is an unknown value. We can use the same formula to find the unknown discount:
Discount = (Original Price x Discount Percentage) / 100
We know the original price of the Pair of Pants is $28, but we don't know the discount percentage. Let's call the discount percentage x. Then, the discount is:
Discount = ($28 x x) / 100
We can simplify the equation by multiplying both sides by 100:
28x = Discount
Since we don't know the discount, we can't find the value of x. However, we can express the discount as a function of x:
Discount = 28x
Completing the Pairs
Now that we have calculated the discounts, we can complete the pairs. The problem asks us to drag the tiles to the correct boxes to complete the pairs. We can use the discounts we calculated to find the correct pairs.
For the Shirt, the discount is $3. We can find the price after the discount by subtracting the discount from the original price:
Price after discount = Original Price - Discount = $15 - $3 = $12
So, the price after the discount for the Shirt is $12.
For the Pair of Pants, we don't know the discount, but we can express the price after the discount as a function of x:
Price after discount = Original Price - Discount = $28 - 28x
We can simplify the equation by factoring out 28:
Price after discount = 28(1 - x)
Conclusion
In this article, we solved a problem that involved discounts and pairs. We calculated the discounts for each item using the formula for calculating the discount. We also found the unknown discount for the Pair of Pants by expressing it as a function of x. Finally, we completed the pairs by finding the prices after the discounts.
Mathematical Concepts
This problem involves several mathematical concepts, including:
- Discounts: We calculated the discounts for each item using the formula for calculating the discount.
- Percentages: We used percentages to calculate the discounts.
- Functions: We expressed the discount for the Pair of Pants as a function of x.
- Algebra: We used algebra to simplify the equations and find the solutions.
Real-World Applications
This problem has several real-world applications, including:
- Shopping: When shopping, we often encounter discounts and sales. This problem helps us understand how to calculate the discounts and find the prices after the discounts.
- Finance: In finance, we often encounter discounts and interest rates. This problem helps us understand how to calculate the discounts and find the prices after the discounts.
- Business: In business, we often encounter discounts and sales. This problem helps us understand how to calculate the discounts and find the prices after the discounts.
Tips and Tricks
Here are some tips and tricks to help you solve this problem:
- Read the problem carefully: Make sure you understand the problem and what is being asked.
- Use the formula for calculating the discount: The formula for calculating the discount is a powerful tool that can help you solve this problem.
- Express the unknown discount as a function of x: This can help you find the solution to the problem.
- Simplify the equations: Simplifying the equations can help you find the solutions to the problem.
Conclusion
Introduction
In our previous article, we solved a problem that involved discounts and pairs. We calculated the discounts for each item using the formula for calculating the discount. We also found the unknown discount for the Pair of Pants by expressing it as a function of x. Finally, we completed the pairs by finding the prices after the discounts. In this article, we will answer some frequently asked questions about the problem.
Q: What is the formula for calculating the discount?
A: The formula for calculating the discount is:
Discount = (Original Price x Discount Percentage) / 100
This formula can be used to calculate the discount for any item.
Q: How do I calculate the discount for an item?
A: To calculate the discount for an item, you need to know the original price and the discount percentage. You can use the formula for calculating the discount to find the discount.
For example, if the original price of an item is $20 and the discount percentage is 15%, the discount would be:
Discount = ($20 x 15) / 100 = $3
Q: What is the unknown discount for the Pair of Pants?
A: The unknown discount for the Pair of Pants is expressed as a function of x:
Discount = 28x
This means that the discount for the Pair of Pants is 28 times the value of x.
Q: How do I find the price after the discount for an item?
A: To find the price after the discount for an item, you need to subtract the discount from the original price.
For example, if the original price of an item is $25 and the discount is $5, the price after the discount would be:
Price after discount = Original Price - Discount = $25 - $5 = $20
Q: What are some real-world applications of this problem?
A: This problem has several real-world applications, including:
- Shopping: When shopping, we often encounter discounts and sales. This problem helps us understand how to calculate the discounts and find the prices after the discounts.
- Finance: In finance, we often encounter discounts and interest rates. This problem helps us understand how to calculate the discounts and find the prices after the discounts.
- Business: In business, we often encounter discounts and sales. This problem helps us understand how to calculate the discounts and find the prices after the discounts.
Q: What are some tips and tricks for solving this problem?
A: Here are some tips and tricks to help you solve this problem:
- Read the problem carefully: Make sure you understand the problem and what is being asked.
- Use the formula for calculating the discount: The formula for calculating the discount is a powerful tool that can help you solve this problem.
- Express the unknown discount as a function of x: This can help you find the solution to the problem.
- Simplify the equations: Simplifying the equations can help you find the solutions to the problem.
Conclusion
In this article, we answered some frequently asked questions about the problem of discounts and pairs. We provided the formula for calculating the discount, explained how to calculate the discount for an item, and found the unknown discount for the Pair of Pants. We also discussed some real-world applications of this problem and provided some tips and tricks for solving it.