Problems with Tax and Discounts - 7 Worksheets - Free Printable
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Step-by-step solution for: Problems with Tax and Discounts - 7 Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Problems with Tax and Discounts - 7 Worksheets
Let's solve each of these Christmas shopping word problems step by step. We'll use the prices given in the table:
- I-Pad: $205.05
- Coat: $49.65
- Electronic game: $35.59
- Cell phone: $97.03
- Spa treatment: $57.52
- Gift certificate: $64.22
- Live theatre ticket: $196.07
We’ll apply tax and discounts as specified.
---
What is the total cost of three I-Pads if there is an eight percent sales tax?
- Cost of one I-Pad = $205.05
- Cost of three I-Pads = 3 × $205.05 = $615.15
- Sales tax = 8% of $615.15 = 0.08 × $615.15 = $49.21
- Total cost = $615.15 + $49.21 = $664.36
✔ Answer: $664.36
---
What is the total cost of two electronic games, two coats, and a live theatre ticket if there is a fifteen percent discount as well as a 8% sales tax?
First, calculate the pre-discount total:
- 2 × Electronic game = 2 × $35.59 = $71.18
- 2 × Coat = 2 × $49.65 = $99.30
- 1 × Theatre ticket = $196.07
- Subtotal = $71.18 + $99.30 + $196.07 = $366.55
Now apply 15% discount:
- Discount amount = 0.15 × $366.55 = $54.98
- Discounted subtotal = $366.55 - $54.98 = $311.57
Now add 8% sales tax:
- Tax = 0.08 × $311.57 = $24.92
- Total cost = $311.57 + $24.92 = $336.49
✔ Answer: $336.49
---
Nathan purchases a gift certificate, two coats, and an electronic game. How much money would he need if the items were reduced by fifteen percent?
- Gift certificate = $64.22
- 2 × Coat = 2 × $49.65 = $99.30
- Electronic game = $35.59
- Subtotal = $64.22 + $99.30 + $35.59 = $199.11
Apply 15% discount:
- Discount = 0.15 × $199.11 = $29.87
- Final price = $199.11 - $29.87 = $169.24
✔ Answer: $169.24
---
What is the total cost of an electronic game, a laptop, and an I-Pad if the sales tax is eight percent?
Wait — laptop is not listed in the price table. But we have "laptop" vs "I-Pad", which are different. Let's check: The item listed is I-Pad, but "laptop" is mentioned here.
Possibility: This might be a typo or mislabeling. Since no laptop price is given, perhaps it's meant to be cell phone? But that doesn't make sense.
Wait — let's recheck: The only items listed are:
- I-Pad
- Coat
- Electronic game
- Cell phone
- Spa treatment
- Gift certificate
- Live theatre ticket
There is no laptop. So this may be a mistake. But the problem says “a laptop” — unless it’s referring to the I-Pad?
But it says “an electronic game, a laptop, and an I-Pad”. That suggests two devices: laptop and I-Pad.
Alternatively, could “laptop” be a typo for “cell phone”?
But cell phone is listed separately.
Wait — perhaps “laptop” was meant to be “cell phone”? Or maybe it's a missing value.
But since no price is given for a laptop, and the only similar device is the I-Pad, perhaps it's a typo and they mean “cell phone”?
Alternatively, maybe “laptop” refers to the I-Pad? But that doesn’t make sense.
Wait — another possibility: Could “laptop” be a typo for “live theatre ticket”? No, that doesn’t fit.
Alternatively, perhaps “laptop” is supposed to be “spa treatment”? No.
Wait — looking back at the list: "laptop" is not listed. So likely, this is a typo, and it should be “cell phone” instead of “laptop”.
Let’s assume “laptop” is a typo and it means “cell phone” (since both are electronics).
So:
- Electronic game = $35.59
- Cell phone = $97.03
- I-Pad = $205.05
- Subtotal = $35.59 + $97.03 + $205.05 = $337.67
Add 8% sales tax:
- Tax = 0.08 × $337.67 = $27.01
- Total = $337.67 + $27.01 = $364.68
✔ Answer: $364.68
*(Assuming “laptop” is a typo for “cell phone”)*
> ⚠️ Note: If “laptop” is intended to be a separate item with unknown price, the problem cannot be solved. But based on context, likely a typo.
---
What is the total cost of two coats, an electronic game, and three I-Pads if there is a fifteen percent discount as well as a 8% sales tax?
- 2 × Coat = 2 × $49.65 = $99.30
- 1 × Electronic game = $35.59
- 3 × I-Pad = 3 × $205.05 = $615.15
- Subtotal = $99.30 + $35.59 + $615.15 = $750.04
Apply 15% discount:
- Discount = 0.15 × $750.04 = $112.51
- Discounted subtotal = $750.04 - $112.51 = $637.53
Add 8% sales tax:
- Tax = 0.08 × $637.53 = $51.00
- Total = $637.53 + $51.00 = $688.53
✔ Answer: $688.53
---
What is the total cost of a cell phone if there is an eight percent sales tax?
- Cell phone = $97.03
- Tax = 0.08 × $97.03 = $7.76
- Total = $97.03 + $7.76 = $104.79
✔ Answer: $104.79
---
If Maddie wanted to buy a cell phone, two spa treatments, and a coat, how much would it cost her if there was a fifteen percent discount as well as a 8% sales tax?
- Cell phone = $97.03
- 2 × Spa treatment = 2 × $57.52 = $115.04
- Coat = $49.65
- Subtotal = $97.03 + $115.04 + $49.65 = $261.72
Apply 15% discount:
- Discount = 0.15 × $261.72 = $39.26
- Discounted subtotal = $261.72 - $39.26 = $222.46
Add 8% sales tax:
- Tax = 0.08 × $222.46 = $17.79
- Total = $222.46 + $17.79 = $240.25
✔ Answer: $240.25
---
What is the total cost of three spa treatments and three gift certificates if the items are on sale for fifteen percent off the regular price?
Note: It says fifteen percent off, so discount only — no mention of tax.
- 3 × Spa treatment = 3 × $57.52 = $172.56
- 3 × Gift certificate = 3 × $64.22 = $192.66
- Subtotal = $172.56 + $192.66 = $365.22
Apply 15% discount:
- Discount = 0.15 × $365.22 = $54.78
- Final price = $365.22 - $54.78 = $310.44
✔ Answer: $310.44
---
1. $664.36
2. $336.49
3. $169.24
4. $364.68 *(assuming "laptop" = "cell phone")*
5. $688.53
6. $104.79
7. $240.25
8. $310.44
Let me know if you'd like these formatted neatly or printed!
- I-Pad: $205.05
- Coat: $49.65
- Electronic game: $35.59
- Cell phone: $97.03
- Spa treatment: $57.52
- Gift certificate: $64.22
- Live theatre ticket: $196.07
We’ll apply tax and discounts as specified.
---
Problem 1:
What is the total cost of three I-Pads if there is an eight percent sales tax?
- Cost of one I-Pad = $205.05
- Cost of three I-Pads = 3 × $205.05 = $615.15
- Sales tax = 8% of $615.15 = 0.08 × $615.15 = $49.21
- Total cost = $615.15 + $49.21 = $664.36
✔ Answer: $664.36
---
Problem 2:
What is the total cost of two electronic games, two coats, and a live theatre ticket if there is a fifteen percent discount as well as a 8% sales tax?
First, calculate the pre-discount total:
- 2 × Electronic game = 2 × $35.59 = $71.18
- 2 × Coat = 2 × $49.65 = $99.30
- 1 × Theatre ticket = $196.07
- Subtotal = $71.18 + $99.30 + $196.07 = $366.55
Now apply 15% discount:
- Discount amount = 0.15 × $366.55 = $54.98
- Discounted subtotal = $366.55 - $54.98 = $311.57
Now add 8% sales tax:
- Tax = 0.08 × $311.57 = $24.92
- Total cost = $311.57 + $24.92 = $336.49
✔ Answer: $336.49
---
Problem 3:
Nathan purchases a gift certificate, two coats, and an electronic game. How much money would he need if the items were reduced by fifteen percent?
- Gift certificate = $64.22
- 2 × Coat = 2 × $49.65 = $99.30
- Electronic game = $35.59
- Subtotal = $64.22 + $99.30 + $35.59 = $199.11
Apply 15% discount:
- Discount = 0.15 × $199.11 = $29.87
- Final price = $199.11 - $29.87 = $169.24
✔ Answer: $169.24
---
Problem 4:
What is the total cost of an electronic game, a laptop, and an I-Pad if the sales tax is eight percent?
Wait — laptop is not listed in the price table. But we have "laptop" vs "I-Pad", which are different. Let's check: The item listed is I-Pad, but "laptop" is mentioned here.
Possibility: This might be a typo or mislabeling. Since no laptop price is given, perhaps it's meant to be cell phone? But that doesn't make sense.
Wait — let's recheck: The only items listed are:
- I-Pad
- Coat
- Electronic game
- Cell phone
- Spa treatment
- Gift certificate
- Live theatre ticket
There is no laptop. So this may be a mistake. But the problem says “a laptop” — unless it’s referring to the I-Pad?
But it says “an electronic game, a laptop, and an I-Pad”. That suggests two devices: laptop and I-Pad.
Alternatively, could “laptop” be a typo for “cell phone”?
But cell phone is listed separately.
Wait — perhaps “laptop” was meant to be “cell phone”? Or maybe it's a missing value.
But since no price is given for a laptop, and the only similar device is the I-Pad, perhaps it's a typo and they mean “cell phone”?
Alternatively, maybe “laptop” refers to the I-Pad? But that doesn’t make sense.
Wait — another possibility: Could “laptop” be a typo for “live theatre ticket”? No, that doesn’t fit.
Alternatively, perhaps “laptop” is supposed to be “spa treatment”? No.
Wait — looking back at the list: "laptop" is not listed. So likely, this is a typo, and it should be “cell phone” instead of “laptop”.
Let’s assume “laptop” is a typo and it means “cell phone” (since both are electronics).
So:
- Electronic game = $35.59
- Cell phone = $97.03
- I-Pad = $205.05
- Subtotal = $35.59 + $97.03 + $205.05 = $337.67
Add 8% sales tax:
- Tax = 0.08 × $337.67 = $27.01
- Total = $337.67 + $27.01 = $364.68
✔ Answer: $364.68
*(Assuming “laptop” is a typo for “cell phone”)*
> ⚠️ Note: If “laptop” is intended to be a separate item with unknown price, the problem cannot be solved. But based on context, likely a typo.
---
Problem 5:
What is the total cost of two coats, an electronic game, and three I-Pads if there is a fifteen percent discount as well as a 8% sales tax?
- 2 × Coat = 2 × $49.65 = $99.30
- 1 × Electronic game = $35.59
- 3 × I-Pad = 3 × $205.05 = $615.15
- Subtotal = $99.30 + $35.59 + $615.15 = $750.04
Apply 15% discount:
- Discount = 0.15 × $750.04 = $112.51
- Discounted subtotal = $750.04 - $112.51 = $637.53
Add 8% sales tax:
- Tax = 0.08 × $637.53 = $51.00
- Total = $637.53 + $51.00 = $688.53
✔ Answer: $688.53
---
Problem 6:
What is the total cost of a cell phone if there is an eight percent sales tax?
- Cell phone = $97.03
- Tax = 0.08 × $97.03 = $7.76
- Total = $97.03 + $7.76 = $104.79
✔ Answer: $104.79
---
Problem 7:
If Maddie wanted to buy a cell phone, two spa treatments, and a coat, how much would it cost her if there was a fifteen percent discount as well as a 8% sales tax?
- Cell phone = $97.03
- 2 × Spa treatment = 2 × $57.52 = $115.04
- Coat = $49.65
- Subtotal = $97.03 + $115.04 + $49.65 = $261.72
Apply 15% discount:
- Discount = 0.15 × $261.72 = $39.26
- Discounted subtotal = $261.72 - $39.26 = $222.46
Add 8% sales tax:
- Tax = 0.08 × $222.46 = $17.79
- Total = $222.46 + $17.79 = $240.25
✔ Answer: $240.25
---
Problem 8:
What is the total cost of three spa treatments and three gift certificates if the items are on sale for fifteen percent off the regular price?
Note: It says fifteen percent off, so discount only — no mention of tax.
- 3 × Spa treatment = 3 × $57.52 = $172.56
- 3 × Gift certificate = 3 × $64.22 = $192.66
- Subtotal = $172.56 + $192.66 = $365.22
Apply 15% discount:
- Discount = 0.15 × $365.22 = $54.78
- Final price = $365.22 - $54.78 = $310.44
✔ Answer: $310.44
---
✔ Final Answers:
1. $664.36
2. $336.49
3. $169.24
4. $364.68 *(assuming "laptop" = "cell phone")*
5. $688.53
6. $104.79
7. $240.25
8. $310.44
Let me know if you'd like these formatted neatly or printed!
Parent Tip: Review the logic above to help your child master the concept of word problem worksheet 7th grade.