Christmas Shopping Problems with Tax and Discounts worksheet for practicing real-world math skills.
Christmas-themed math worksheet with word problems involving tax and discounts, featuring a small Christmas tree illustration at the top left.
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Step-by-step solution for: Problems with Tax and Discounts - 4 Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Problems with Tax and Discounts - 4 Worksheets
Here are the step-by-step solutions for each problem on the worksheet.
1. Bradley purchases two gift certificates. How much would it cost him if there were a 15% discount?
* Step 1: Find the price of one gift certificate: $55.24.
* Step 2: Calculate the total price for two certificates: $55.24 \times 2 = \$110.48$.
* Step 3: Calculate the discount amount (15% of $110.48): $110.48 \times 0.15 = \$16.572$.
* Step 4: Subtract the discount from the total price: $110.48 - 16.572 = \$93.908$.
* Step 5: Round to the nearest cent: $93.91.
2. Jenna purchases an electronic game, a spa treatment, and three cell phones. How much would it cost her if she also had to pay an 8% sales tax?
* Step 1: Find the cost of the items:
* Electronic game: $36.78
* Spa treatment: $52.83
* Three cell phones: $85.00 \times 3 = \$255.00$
* Step 2: Add them up for the subtotal: $36.78 + 52.83 + 255.00 = \$344.61$.
* Step 3: Calculate the tax (8% of $344.61): $344.61 \times 0.08 = \$27.5688$.
* Step 4: Add the tax to the subtotal: $344.61 + 27.5688 = \$372.1788$.
* Step 5: Round to the nearest cent: $372.18.
3. What is the total cost of a cell phone if the items are on sale for 15% off the regular price and there is a sales tax of eight percent?
* Step 1: Regular price of cell phone: $85.00.
* Step 2: Calculate the sale price (15% off): $85.00 \times 0.85 = \$72.25$.
* Step 3: Calculate the tax on the sale price (8%): $72.25 \times 0.08 = \$5.78$.
* Step 4: Add the tax to the sale price: $72.25 + 5.78 = \mathbf{\$78.03}$.
4. What is the total cost of two electronic games if there is an 8% sales tax?
* Step 1: Price of one game: $36.78.
* Step 2: Price for two games: $36.78 \times 2 = \$73.56$.
* Step 3: Calculate the tax (8%): $73.56 \times 0.08 = \$5.8848$.
* Step 4: Add tax to the price: $73.56 + 5.8848 = \$79.4448$.
* Step 5: Round to the nearest cent: $79.44.
5. What is the total cost of an electronic game if there is a 15% discount as well as an eight percent sales tax?
* Step 1: Regular price: $36.78.
* Step 2: Apply 15% discount: $36.78 \times 0.85 = \$31.263$.
* Step 3: Apply 8% tax to the discounted price: $31.263 \times 1.08 = \$33.76404$.
* Step 4: Round to the nearest cent: $33.76.
6. What is the total cost of a laptop if there is a 15% discount as well as a 8% sales tax?
* Step 1: Regular price: $210.03.
* Step 2: Apply 15% discount: $210.03 \times 0.85 = \$178.5255$.
* Step 3: Apply 8% tax to the discounted price: $178.5255 \times 1.08 = \$192.80754$.
* Step 4: Round to the nearest cent: $192.81.
7. Ethan purchases two laptops. How much would he have to pay if the items were on sale for fifteen percent off the regular price?
* Step 1: Regular price of one laptop: $210.03.
* Step 2: Total regular price for two: $210.03 \times 2 = \$420.06$.
* Step 3: Calculate the sale price (15% off means paying 85%): $420.06 \times 0.85 = \$357.051$.
* Step 4: Round to the nearest cent: $357.05.
8. What is the total cost of two coats, three laptops, and two gift certificates if there is a 8% sales tax?
*(Note: The item "coat" is not listed in the price box at the top. I will solve this using only the items with listed prices: 3 laptops and 2 gift certificates. If your teacher gave you a separate price for coats, you should add that cost in Step 1).*
* Step 1: Calculate the cost of the known items:
* 3 Laptops: $210.03 \times 3 = \$630.09$
* 2 Gift Certificates: $55.24 \times 2 = \$110.48$
* Subtotal: $630.09 + 110.48 = \$740.57$
* Step 2: Calculate the 8% sales tax: $740.57 \times 0.08 = \$59.2456$.
* Step 3: Add tax to subtotal: $740.57 + 59.2456 = \$799.8156$.
* Step 4: Round to the nearest cent: $799.82.
Final Answer:
1. $93.91
2. $372.18
3. $78.03
4. $79.44
5. $33.76
6. $192.81
7. $357.05
8. $799.82 (assuming no cost for coats)
1. Bradley purchases two gift certificates. How much would it cost him if there were a 15% discount?
* Step 1: Find the price of one gift certificate: $55.24.
* Step 2: Calculate the total price for two certificates: $55.24 \times 2 = \$110.48$.
* Step 3: Calculate the discount amount (15% of $110.48): $110.48 \times 0.15 = \$16.572$.
* Step 4: Subtract the discount from the total price: $110.48 - 16.572 = \$93.908$.
* Step 5: Round to the nearest cent: $93.91.
2. Jenna purchases an electronic game, a spa treatment, and three cell phones. How much would it cost her if she also had to pay an 8% sales tax?
* Step 1: Find the cost of the items:
* Electronic game: $36.78
* Spa treatment: $52.83
* Three cell phones: $85.00 \times 3 = \$255.00$
* Step 2: Add them up for the subtotal: $36.78 + 52.83 + 255.00 = \$344.61$.
* Step 3: Calculate the tax (8% of $344.61): $344.61 \times 0.08 = \$27.5688$.
* Step 4: Add the tax to the subtotal: $344.61 + 27.5688 = \$372.1788$.
* Step 5: Round to the nearest cent: $372.18.
3. What is the total cost of a cell phone if the items are on sale for 15% off the regular price and there is a sales tax of eight percent?
* Step 1: Regular price of cell phone: $85.00.
* Step 2: Calculate the sale price (15% off): $85.00 \times 0.85 = \$72.25$.
* Step 3: Calculate the tax on the sale price (8%): $72.25 \times 0.08 = \$5.78$.
* Step 4: Add the tax to the sale price: $72.25 + 5.78 = \mathbf{\$78.03}$.
4. What is the total cost of two electronic games if there is an 8% sales tax?
* Step 1: Price of one game: $36.78.
* Step 2: Price for two games: $36.78 \times 2 = \$73.56$.
* Step 3: Calculate the tax (8%): $73.56 \times 0.08 = \$5.8848$.
* Step 4: Add tax to the price: $73.56 + 5.8848 = \$79.4448$.
* Step 5: Round to the nearest cent: $79.44.
5. What is the total cost of an electronic game if there is a 15% discount as well as an eight percent sales tax?
* Step 1: Regular price: $36.78.
* Step 2: Apply 15% discount: $36.78 \times 0.85 = \$31.263$.
* Step 3: Apply 8% tax to the discounted price: $31.263 \times 1.08 = \$33.76404$.
* Step 4: Round to the nearest cent: $33.76.
6. What is the total cost of a laptop if there is a 15% discount as well as a 8% sales tax?
* Step 1: Regular price: $210.03.
* Step 2: Apply 15% discount: $210.03 \times 0.85 = \$178.5255$.
* Step 3: Apply 8% tax to the discounted price: $178.5255 \times 1.08 = \$192.80754$.
* Step 4: Round to the nearest cent: $192.81.
7. Ethan purchases two laptops. How much would he have to pay if the items were on sale for fifteen percent off the regular price?
* Step 1: Regular price of one laptop: $210.03.
* Step 2: Total regular price for two: $210.03 \times 2 = \$420.06$.
* Step 3: Calculate the sale price (15% off means paying 85%): $420.06 \times 0.85 = \$357.051$.
* Step 4: Round to the nearest cent: $357.05.
8. What is the total cost of two coats, three laptops, and two gift certificates if there is a 8% sales tax?
*(Note: The item "coat" is not listed in the price box at the top. I will solve this using only the items with listed prices: 3 laptops and 2 gift certificates. If your teacher gave you a separate price for coats, you should add that cost in Step 1).*
* Step 1: Calculate the cost of the known items:
* 3 Laptops: $210.03 \times 3 = \$630.09$
* 2 Gift Certificates: $55.24 \times 2 = \$110.48$
* Subtotal: $630.09 + 110.48 = \$740.57$
* Step 2: Calculate the 8% sales tax: $740.57 \times 0.08 = \$59.2456$.
* Step 3: Add tax to subtotal: $740.57 + 59.2456 = \$799.8156$.
* Step 4: Round to the nearest cent: $799.82.
Final Answer:
1. $93.91
2. $372.18
3. $78.03
4. $79.44
5. $33.76
6. $192.81
7. $357.05
8. $799.82 (assuming no cost for coats)
Parent Tip: Review the logic above to help your child master the concept of sales tax word problems worksheet.