Let's solve each of these
tax and tip (percent) word problems step by step.
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1. A bicycle is on sale for $189.50. The sales tax rate is 5%. What is the total price?
Step 1: Calculate the sales tax
Sales tax = 5% of $189.50
= \( 0.05 \times 189.50 = 9.475 \)
Step 2: Add tax to original price
Total price = $189.50 + $9.475 =
$198.975
Round to nearest cent:
$198.98
✔ Answer: $198.98
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2. Rosa and her friends are eating out for dinner. The bill was $45.80. They want to leave a 20% tip. How much should they leave for tip?
Step 1: Calculate 20% of $45.80
Tip = \( 0.20 \times 45.80 = 9.16 \)
✔ Answer: $9.16
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3. Rick bought 3 shirts for $18 each, 2 pairs of socks for $3.99 a pair, and a pair of slacks for $45.00. The sales tax rate is 8.5%. How much did he pay?
Step 1: Calculate subtotal
- Shirts: \( 3 \times 18 = 54 \)
- Socks: \( 2 \times 3.99 = 7.98 \)
- Slacks: \( 45.00 \)
Subtotal = \( 54 + 7.98 + 45 = 106.98 \)
Step 2: Calculate sales tax
Tax = \( 8.5\% \) of $106.98 = \( 0.085 \times 106.98 = 9.0933 \) ≈
$9.09
Step 3: Total amount paid
Total = $106.98 + $9.09 =
$116.07
✔ Answer: $116.07
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4. The Rodriguez family went to dinner at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a meal for $7.50; the 2 children ordered individual pizzas for $4.99 each. The sales tax rate was 7.25% and they left a 15% tip. How much was the total bill?
Step 1: Calculate subtotal
- Mr. R: $6.25
- Mrs. R: $7.50
- 2 kids: \( 2 \times 4.99 = 9.98 \)
Subtotal = \( 6.25 + 7.50 + 9.98 = 23.73 \)
Step 2: Add sales tax (7.25%)
Tax = \( 0.0725 \times 23.73 = 1.718325 \) ≈
$1.72
Step 3: Calculate tip (15% of
pre-tax or
post-tax? Usually, tip is based on
pre-tax amount unless specified otherwise.)
Tip = \( 0.15 \times 23.73 = 3.5595 \) ≈
$3.56
Step 4: Total bill = Subtotal + Tax + Tip
= $23.73 + $1.72 + $3.56 =
$29.01
✔ Answer: $29.01
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5. Megan bought 50 beads for $9.95. She received a 10% discount, and she paid a sales tax of 6%. How much did she pay for the beads?
Step 1: Apply 10% discount
Discount = \( 0.10 \times 9.95 = 0.995 \)
Discounted price = \( 9.95 - 0.995 = 8.955 \) ≈
$8.96
Step 2: Add 6% sales tax
Tax = \( 0.06 \times 8.955 = 0.5373 \) ≈
$0.54
Step 3: Final amount paid
= $8.955 + $0.5373 = $9.4923 ≈
$9.49
✔ Answer: $9.49
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6. Eric bought a canoe for $333.75. The sales tax was 5.25%. What was his total cost?
Step 1: Calculate sales tax
Tax = \( 0.0525 \times 333.75 = 17.510625 \) ≈
$17.51
Step 2: Total cost
= $333.75 + $17.51 =
$351.26
✔ Answer: $351.26
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✔ Final Answers:
1.
$198.98
2.
$9.16
3.
$116.07
4.
$29.01
5.
$9.49
6.
$351.26
Let me know if you'd like these formatted as a worksheet or need explanations in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of tax tip and discount word problems worksheet.