Question

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period
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tax and tip word problems
solve the following problems and show your work.

1. a bicycle is on sale for $189.50. the sales tax rate is 5%. what is the total price?
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?
3. rick bought 3 shirts for $18 each, 2 pair 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?
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?
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?

Explanation:

Problem 1

Step1: Calculate sales tax amount

$\text{Tax} = 189.50 \times 0.05 = 9.475$

Step2: Add tax to sale price

$\text{Total Price} = 189.50 + 9.475 = 198.975$

Problem 2

Step1: Calculate 20% of the bill

$\text{Tip} = 45.80 \times 0.20 = 9.16$

Problem 3

Step1: Calculate pre-tax total cost

$\text{Pre-tax Total} = (3 \times 18) + (2 \times 3.99) + 45.00 = 54 + 7.98 + 45.00 = 106.98$

Step2: Calculate sales tax amount

$\text{Tax} = 106.98 \times 0.085 = 9.0933$

Step3: Add tax to pre-tax total

$\text{Total Paid} = 106.98 + 9.0933 = 116.0733$

Problem 4

Step1: Calculate pre-tax food total

$\text{Food Total} = 6.25 + 7.50 + (2 \times 4.99) = 6.25 + 7.50 + 9.98 = 23.73$

Step2: Calculate sales tax amount

$\text{Tax} = 23.73 \times 0.0725 = 1.720425$

Step3: Calculate tip amount (on pre-tax total)

$\text{Tip} = 23.73 \times 0.15 = 3.5595$

Step4: Sum all costs

$\text{Total Bill} = 23.73 + 1.720425 + 3.5595 = 29.009925$

Problem 5

Step1: Calculate discounted price

$\text{Discounted Price} = 9.95 \times (1 - 0.10) = 9.95 \times 0.90 = 8.955$

Step2: Calculate sales tax on discounted price

$\text{Tax} = 8.955 \times 0.06 = 0.5373$

Step3: Add tax to discounted price

$\text{Total Paid} = 8.955 + 0.5373 = 9.4923$

Answer:

1. $\$198.98$ (rounded to nearest cent)
2. $\$9.16$
3. $\$116.07$ (rounded to nearest cent)
4. $\$29.01$ (rounded to nearest cent)
5. $\$9.49$ (rounded to nearest cent)