Math worksheet featuring eight word problems on percentages, covering topics such as tax, tip, and discount, designed for educational practice.
A worksheet titled "per cent word problems (tax, tip, discount)" with eight math problems involving percentages for real-life scenarios like calculating tips, discounts, and sales tax.
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Show Answer Key & Explanations
Step-by-step solution for: Percent Word Problems (Tax, Tip, Discount) : Solve Each Problem ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Percent Word Problems (Tax, Tip, Discount) : Solve Each Problem ...
Let's solve each problem step by step:
---
The Kerwoods went out to eat at Chilles. If their bill was $58.65 and they gave their server a 15% tip, how much did they pay altogether?
Solution:
1. Calculate the tip:
\[
\text{Tip} = 15\% \times 58.65 = 0.15 \times 58.65 = 8.7975 \approx 8.80
\]
2. Add the tip to the original bill:
\[
\text{Total payment} = 58.65 + 8.80 = 67.45
\]
Answer:
\[
\boxed{67.45}
\]
---
Ms. Acton spent $205.60 at Target. If the sales tax is 6%, what was her final bill?
Solution:
1. Calculate the sales tax:
\[
\text{Sales tax} = 6\% \times 205.60 = 0.06 \times 205.60 = 12.336 \approx 12.34
\]
2. Add the sales tax to the original amount:
\[
\text{Final bill} = 205.60 + 12.34 = 217.94
\]
Answer:
\[
\boxed{217.94}
\]
---
Macys is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bill total after applying the discount of 35%?
Solution:
1. Calculate the discount amount:
\[
\text{Discount} = 35\% \times 124.50 = 0.35 \times 124.50 = 43.575 \approx 43.58
\]
2. Subtract the discount from the original amount:
\[
\text{Final bill} = 124.50 - 43.58 = 80.92
\]
Answer:
\[
\boxed{80.92}
\]
---
Mark and his three friends ate out at Applebee's. Their bill totaled $52.35. If they left the server a 20% tip, how much would each person pay splitting the bill evenly?
Solution:
1. Calculate the tip:
\[
\text{Tip} = 20\% \times 52.35 = 0.20 \times 52.35 = 10.47
\]
2. Add the tip to the original bill:
\[
\text{Total bill} = 52.35 + 10.47 = 62.82
\]
3. Divide the total bill by 4 people (Mark and his three friends):
\[
\text{Each person's share} = \frac{62.82}{4} = 15.705 \approx 15.71
\]
Answer:
\[
\boxed{15.71}
\]
---
A soccer team played 32 games. If they won 25% of them, how many games did the team win?
Solution:
1. Calculate the number of games won:
\[
\text{Games won} = 25\% \times 32 = 0.25 \times 32 = 8
\]
Answer:
\[
\boxed{8}
\]
---
Sugar-free gum contains 40% less calories than regular gum. If a piece of regular gum contains 40 calories, how many calories does a piece of sugar-free gum contain?
Solution:
1. Calculate the reduction in calories:
\[
\text{Reduction} = 40\% \times 40 = 0.40 \times 40 = 16
\]
2. Subtract the reduction from the original calorie count:
\[
\text{Calories in sugar-free gum} = 40 - 16 = 24
\]
Answer:
\[
\boxed{24}
\]
---
Ms. Stoner purchased a new computer for $1,150 at the Apple Store. If sales tax is 7.5%, what was the total of her purchase?
Solution:
1. Calculate the sales tax:
\[
\text{Sales tax} = 7.5\% \times 1150 = 0.075 \times 1150 = 86.25
\]
2. Add the sales tax to the original price:
\[
\text{Total cost} = 1150 + 86.25 = 1236.25
\]
Answer:
\[
\boxed{1236.25}
\]
---
Vicky made some purchases at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25, and a bouquet of flowers for $9.95. If sales tax is 5%, what will Vicky pay altogether?
Solution:
1. Calculate the total cost of the items before tax:
\[
\text{Total cost} = 3.50 + 2.25 + 9.95 = 15.70
\]
2. Calculate the sales tax:
\[
\text{Sales tax} = 5\% \times 15.70 = 0.05 \times 15.70 = 0.785 \approx 0.79
\]
3. Add the sales tax to the total cost:
\[
\text{Final total} = 15.70 + 0.79 = 16.49
\]
Answer:
\[
\boxed{16.49}
\]
---
1. \(\boxed{67.45}\)
2. \(\boxed{217.94}\)
3. \(\boxed{80.92}\)
4. \(\boxed{15.71}\)
5. \(\boxed{8}\)
6. \(\boxed{24}\)
7. \(\boxed{1236.25}\)
8. \(\boxed{16.49}\)
---
Problem 1:
The Kerwoods went out to eat at Chilles. If their bill was $58.65 and they gave their server a 15% tip, how much did they pay altogether?
Solution:
1. Calculate the tip:
\[
\text{Tip} = 15\% \times 58.65 = 0.15 \times 58.65 = 8.7975 \approx 8.80
\]
2. Add the tip to the original bill:
\[
\text{Total payment} = 58.65 + 8.80 = 67.45
\]
Answer:
\[
\boxed{67.45}
\]
---
Problem 2:
Ms. Acton spent $205.60 at Target. If the sales tax is 6%, what was her final bill?
Solution:
1. Calculate the sales tax:
\[
\text{Sales tax} = 6\% \times 205.60 = 0.06 \times 205.60 = 12.336 \approx 12.34
\]
2. Add the sales tax to the original amount:
\[
\text{Final bill} = 205.60 + 12.34 = 217.94
\]
Answer:
\[
\boxed{217.94}
\]
---
Problem 3:
Macys is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bill total after applying the discount of 35%?
Solution:
1. Calculate the discount amount:
\[
\text{Discount} = 35\% \times 124.50 = 0.35 \times 124.50 = 43.575 \approx 43.58
\]
2. Subtract the discount from the original amount:
\[
\text{Final bill} = 124.50 - 43.58 = 80.92
\]
Answer:
\[
\boxed{80.92}
\]
---
Problem 4:
Mark and his three friends ate out at Applebee's. Their bill totaled $52.35. If they left the server a 20% tip, how much would each person pay splitting the bill evenly?
Solution:
1. Calculate the tip:
\[
\text{Tip} = 20\% \times 52.35 = 0.20 \times 52.35 = 10.47
\]
2. Add the tip to the original bill:
\[
\text{Total bill} = 52.35 + 10.47 = 62.82
\]
3. Divide the total bill by 4 people (Mark and his three friends):
\[
\text{Each person's share} = \frac{62.82}{4} = 15.705 \approx 15.71
\]
Answer:
\[
\boxed{15.71}
\]
---
Problem 5:
A soccer team played 32 games. If they won 25% of them, how many games did the team win?
Solution:
1. Calculate the number of games won:
\[
\text{Games won} = 25\% \times 32 = 0.25 \times 32 = 8
\]
Answer:
\[
\boxed{8}
\]
---
Problem 6:
Sugar-free gum contains 40% less calories than regular gum. If a piece of regular gum contains 40 calories, how many calories does a piece of sugar-free gum contain?
Solution:
1. Calculate the reduction in calories:
\[
\text{Reduction} = 40\% \times 40 = 0.40 \times 40 = 16
\]
2. Subtract the reduction from the original calorie count:
\[
\text{Calories in sugar-free gum} = 40 - 16 = 24
\]
Answer:
\[
\boxed{24}
\]
---
Problem 7:
Ms. Stoner purchased a new computer for $1,150 at the Apple Store. If sales tax is 7.5%, what was the total of her purchase?
Solution:
1. Calculate the sales tax:
\[
\text{Sales tax} = 7.5\% \times 1150 = 0.075 \times 1150 = 86.25
\]
2. Add the sales tax to the original price:
\[
\text{Total cost} = 1150 + 86.25 = 1236.25
\]
Answer:
\[
\boxed{1236.25}
\]
---
Problem 8:
Vicky made some purchases at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25, and a bouquet of flowers for $9.95. If sales tax is 5%, what will Vicky pay altogether?
Solution:
1. Calculate the total cost of the items before tax:
\[
\text{Total cost} = 3.50 + 2.25 + 9.95 = 15.70
\]
2. Calculate the sales tax:
\[
\text{Sales tax} = 5\% \times 15.70 = 0.05 \times 15.70 = 0.785 \approx 0.79
\]
3. Add the sales tax to the total cost:
\[
\text{Final total} = 15.70 + 0.79 = 16.49
\]
Answer:
\[
\boxed{16.49}
\]
---
Final Answers:
1. \(\boxed{67.45}\)
2. \(\boxed{217.94}\)
3. \(\boxed{80.92}\)
4. \(\boxed{15.71}\)
5. \(\boxed{8}\)
6. \(\boxed{24}\)
7. \(\boxed{1236.25}\)
8. \(\boxed{16.49}\)
Parent Tip: Review the logic above to help your child master the concept of sales tax word problems worksheet.