Double Discounts Worksheet Answers: Quick Solutions Revealed!
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In today's fast-paced shopping world, consumers are constantly on the lookout for the best deals and discounts. Double discounts can often lead to confusion, especially when it comes to calculating final prices after applying two separate discount rates. This blog post will unravel the mystery behind double discounts, guide you through the calculations, and provide a useful worksheet for practice. 💰✨
Understanding Double Discounts
Before diving into the worksheet, let’s clarify what double discounts are. Double discounts occur when a product is first discounted by a certain percentage and then is discounted further by another percentage. For example, if a pair of shoes originally priced at $100 has a 20% discount followed by an additional 10% off, the calculations for the final price can be tricky.
Example of Double Discounts
Here’s how the example above works step-by-step:
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Original Price: $100
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First Discount (20%):
[ 100 \times 0.20 = 20 ] New Price = $100 - $20 = $80 -
Second Discount (10%):
[ 80 \times 0.10 = 8 ] Final Price = $80 - $8 = $72
So, the final price of the shoes after applying double discounts would be $72. 🎉
The Double Discounts Worksheet
To further understand double discounts, we have created a worksheet with various scenarios. This worksheet will help in reinforcing the concepts and calculations involved in double discounts.
Worksheet Scenarios
Here’s a quick glance at the worksheet with various original prices and double discounts:
<table> <tr> <th>Original Price ($)</th> <th>First Discount (%)</th> <th>Second Discount (%)</th> <th>Final Price ($)</th> </tr> <tr> <td>150</td> <td>20</td> <td>10</td> <td></td> </tr> <tr> <td>200</td> <td>25</td> <td>15</td> <td></td> </tr> <tr> <td>80</td> <td>30</td> <td>5</td> <td></td> </tr> <tr> <td>120</td> <td>10</td> <td>20</td> <td></td> </tr> <tr> <td>90</td> <td>15</td> <td>10</td> <td></td> </tr> </table>
Tips for Calculating Double Discounts
- Calculate each discount separately: Always compute the first discount and subtract it from the original price before applying the second discount.
- Be careful with percentages: Convert the percentage discounts into decimal form (e.g., 20% = 0.20) for easy calculations.
- Double-check your work: Go through each calculation step to avoid mistakes that can lead to incorrect final prices.
Answers to the Worksheet Scenarios
Now, let’s reveal the answers for the worksheet to help you validate your calculations:
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Original Price: $150
First Discount: 20% → New Price = $150 - ($150 × 0.20) = $120
Second Discount: 10% → Final Price = $120 - ($120 × 0.10) = $108 -
Original Price: $200
First Discount: 25% → New Price = $200 - ($200 × 0.25) = $150
Second Discount: 15% → Final Price = $150 - ($150 × 0.15) = $127.50 -
Original Price: $80
First Discount: 30% → New Price = $80 - ($80 × 0.30) = $56
Second Discount: 5% → Final Price = $56 - ($56 × 0.05) = $53.20 -
Original Price: $120
First Discount: 10% → New Price = $120 - ($120 × 0.10) = $108
Second Discount: 20% → Final Price = $108 - ($108 × 0.20) = $86.40 -
Original Price: $90
First Discount: 15% → New Price = $90 - ($90 × 0.15) = $76.50
Second Discount: 10% → Final Price = $76.50 - ($76.50 × 0.10) = $68.85
Conclusion
Navigating through double discounts can be challenging, but with practice and a clear understanding of the calculation process, it becomes much simpler. Remember the steps: calculate the first discount, subtract it, and then apply the second discount to find the final price.
Use the provided worksheet to practice these calculations, and don’t hesitate to revisit this guide whenever you need a refresher. Happy shopping! 🛒💖