Henrietta Has $$120$ To Buy A New Bicycle. She Finds The Bike She Wants To Buy On Sale For $20%$$ Off The Regular Price Of $ $ 150 \$150 $150 $. If There Is A $ 6 % 6\% 6% [/tex] Sales Tax, Which Of The Following
Henrietta's Bicycle Purchase: A Math Problem
Henrietta has a budget of $120 to buy a new bicycle. She has found the perfect bike on sale, but she needs to calculate the total cost to ensure she stays within her budget. The bike's regular price is $150, but it's on sale for 20% off. Additionally, there's a 6% sales tax that she needs to factor in. In this article, we'll walk through the math problem step by step to determine the total cost of the bicycle.
Calculating the Sale Price
The bike is on sale for 20% off the regular price of $150. To calculate the sale price, we need to find 20% of $150 and subtract it from the regular price.
Sale price = Regular price - (Regular price x Discount percentage)
Sale price = $150 - ($150 x 0.20)
Sale price = $150 - $30
Sale price = $120
So, the sale price of the bicycle is $120.
Calculating the Sales Tax
There's a 6% sales tax on the sale price of the bicycle. To calculate the sales tax, we need to find 6% of the sale price.
Sales tax = Sale price x Sales tax percentage
Sales tax = $120 x 0.06
Sales tax = $7.20
So, the sales tax on the bicycle is $7.20.
Calculating the Total Cost
The total cost of the bicycle is the sum of the sale price and the sales tax.
Total cost = Sale price + Sales tax
Total cost = $120 + $7.20
Total cost = $127.20
So, the total cost of the bicycle is $127.20.
Conclusion
Henrietta has a budget of $120 to buy a new bicycle. The bike she wants to buy is on sale for 20% off the regular price of $150, and there's a 6% sales tax. By calculating the sale price, sales tax, and total cost, we can determine that the total cost of the bicycle is $127.20. This is within Henrietta's budget, so she can purchase the bicycle.
Mathematical Concepts Used
- Percentage calculation
- Discount calculation
- Sales tax calculation
- Total cost calculation
Real-World Applications
This math problem has real-world applications in various scenarios, such as:
- Shopping: When buying a product on sale, it's essential to calculate the sale price and sales tax to ensure you stay within your budget.
- Business: Retailers need to calculate sales tax and total cost to determine the final price of a product.
- Finance: Understanding percentage calculations and sales tax is crucial for making informed financial decisions.
Tips and Tricks
- When calculating percentages, always convert the percentage to a decimal by dividing by 100.
- When calculating sales tax, use the sale price as the base and multiply it by the sales tax percentage.
- When calculating the total cost, add the sale price and sales tax together.
By following these tips and tricks, you can become more confident in your math skills and make informed decisions in various scenarios.
Henrietta's Bicycle Purchase: A Math Problem - Q&A
In our previous article, we walked through the math problem of Henrietta's bicycle purchase, calculating the sale price, sales tax, and total cost. In this article, we'll answer some frequently asked questions related to the problem.
Q: What is the regular price of the bicycle?
A: The regular price of the bicycle is $150.
Q: What is the discount percentage?
A: The discount percentage is 20%.
Q: What is the sale price of the bicycle?
A: The sale price of the bicycle is $120, which is calculated by subtracting the discount amount from the regular price.
Q: What is the sales tax percentage?
A: The sales tax percentage is 6%.
Q: What is the sales tax amount?
A: The sales tax amount is $7.20, which is calculated by multiplying the sale price by the sales tax percentage.
Q: What is the total cost of the bicycle?
A: The total cost of the bicycle is $127.20, which is calculated by adding the sale price and sales tax amount together.
Q: Why is it essential to calculate the sale price and sales tax?
A: It's essential to calculate the sale price and sales tax to ensure you stay within your budget. If you don't calculate the sale price and sales tax, you might end up overspending and going over your budget.
Q: Can I use a calculator to calculate the sale price and sales tax?
A: Yes, you can use a calculator to calculate the sale price and sales tax. However, it's also essential to understand the math behind the calculation to ensure you're making accurate calculations.
Q: What if the sales tax percentage changes?
A: If the sales tax percentage changes, you'll need to recalculate the sales tax amount using the new sales tax percentage. For example, if the sales tax percentage increases to 8%, you'll need to recalculate the sales tax amount using the new percentage.
Q: Can I apply this math problem to other scenarios?
A: Yes, you can apply this math problem to other scenarios, such as:
- Shopping: When buying a product on sale, it's essential to calculate the sale price and sales tax to ensure you stay within your budget.
- Business: Retailers need to calculate sales tax and total cost to determine the final price of a product.
- Finance: Understanding percentage calculations and sales tax is crucial for making informed financial decisions.
Q: What are some common mistakes to avoid when calculating sale price and sales tax?
A: Some common mistakes to avoid when calculating sale price and sales tax include:
- Not converting the percentage to a decimal
- Not using the correct sale price or sales tax percentage
- Not adding the sale price and sales tax amount together to get the total cost
By avoiding these common mistakes, you can ensure accurate calculations and make informed decisions in various scenarios.
Conclusion
In this Q&A article, we've answered some frequently asked questions related to Henrietta's bicycle purchase math problem. We've covered topics such as calculating the sale price, sales tax, and total cost, as well as common mistakes to avoid when making these calculations. By understanding these concepts, you can become more confident in your math skills and make informed decisions in various scenarios.