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Math worksheet featuring eight word problems on percentages, including calculating tips, taxes, discounts, and percentages of totals.

A worksheet titled "per cent word problems (tax, tip, discount)" with eight math problems involving percentages, tips, taxes, and discounts.

A worksheet titled "per cent word problems (tax, tip, discount)" with eight math problems involving percentages, tips, taxes, and discounts.

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Show Answer Key & Explanations Step-by-step solution for: Percent Word Problems (Tax, Tip, Discount) : Solve Each Problem ...
Let’s solve each problem one by one. We’ll take our time, do the math carefully, and label our answers as instructed.

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Problem 1:
The Kerwoods’ bill was $58.65. They left a 15% tip. How much did they pay altogether?

Step 1: Find 15% of $58.65
→ 15% = 0.15
→ 0.15 × 58.65 = ?

Let’s calculate:
0.15 × 58.65
= (0.10 × 58.65) + (0.05 × 58.65)
= 5.865 + 2.9325
= 8.7975 → round to nearest cent → $8.80

Step 2: Add tip to original bill
→ 58.65 + 8.80 = $67.45

Final Answer for #1: $67.45

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Problem 2:
Ms. Acton spent $205.60 at Target. Sales tax is 6%. What was her final bill?

Step 1: Find 6% of $205.60
→ 6% = 0.06
→ 0.06 × 205.60 = ?

Calculate:
0.06 × 205.60
= (0.06 × 200) + (0.06 × 5.60)
= 12 + 0.336
= 12.336 → round to nearest cent → $12.34

Step 2: Add tax to original amount
→ 205.60 + 12.34 = $217.94

Final Answer for #2: $217.94

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Problem 3:
Macy’s has a 35% off special. Sara bought $124.50 worth of items. What’s the final bill after discount?

Step 1: Find 35% of $124.50
→ 35% = 0.35
→ 0.35 × 124.50 = ?

Calculate:
0.35 × 124.50
= (0.30 × 124.50) + (0.05 × 124.50)
= 37.35 + 6.225
= 43.575 → round to nearest cent → $43.58

Step 2: Subtract discount from original price
→ 124.50 - 43.58 = $80.92

Final Answer for #3: $80.92

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Problem 4:
Mark and his three friends ate out — that’s 4 people total. Bill was $52.35. They left a 20% tip. How much does each person pay if they split evenly?

Step 1: Find 20% of $52.35
→ 20% = 0.20
→ 0.20 × 52.35 = $10.47

Step 2: Add tip to bill
→ 52.35 + 10.47 = $62.82

Step 3: Divide by 4 people
→ 62.82 ÷ 4 = $15.705 → round to nearest cent → $15.71

Final Answer for #4: $15.71 per person

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Problem 5:
Soccer team played 32 games. Won 25% of them. How many games did they win?

Step 1: Find 25% of 32
→ 25% = 0.25
→ 0.25 × 32 = 8

Final Answer for #5: 8 games

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Problem 6:
Sugar-free gum has 40% less calories than regular gum. Regular gum has 40 calories. How many calories in sugar-free?

Step 1: Find 40% of 40 calories
→ 40% = 0.40
→ 0.40 × 40 = 16 calories less

Step 2: Subtract from original
→ 40 - 16 = 24 calories

Final Answer for #6: 24 calories

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Problem 7:
Ms. Stoner bought a computer for $1,150. Sales tax is 7.5%. What was total purchase?

Step 1: Find 7.5% of $1,150
→ 7.5% = 0.075
→ 0.075 × 1150 = ?

Calculate:
0.075 × 1150
= (0.07 × 1150) + (0.005 × 1150)
= 80.5 + 5.75
= 86.25

Step 2: Add tax to price
→ 1150 + 86.25 = $1,236.25

Final Answer for #7: $1,236.25

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Problem 8:
Vicky bought:
- Strawberries: $3.50
- Carrots: $2.25
- Flowers: $9.95

Sales tax is 5%. What will Maria pay altogether? *(Note: Probably typo — should be Vicky, not Maria. We’ll assume it’s Vicky.)*

Step 1: Add up all purchases
→ 3.50 + 2.25 + 9.95 = ?

3.50 + 2.25 = 5.75
5.75 + 9.95 = $15.70

Step 2: Find 5% of $15.70
→ 5% = 0.05
→ 0.05 × 15.70 = $0.785 → round to nearest cent → $0.79

Step 3: Add tax
→ 15.70 + 0.79 = $16.49

Final Answer for #8: $16.49

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Final Answer:
1. $67.45
2. $217.94
3. $80.92
4. $15.71
5. 8 games
6. 24 calories
7. $1,236.25
8. $16.49
Parent Tip: Review the logic above to help your child master the concept of sales tax and discounts worksheet.
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