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# Prices Involving Sales Tax

## Determine the sum of a number and one or more percentages of the number.

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Practice Prices Involving Sales Tax
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Prices Involving Sales Tax

Credit: Alan Levine
Source: https://www.flickr.com/photos/cogdog/5313957853/

Joan goes to the mall to buy her mom a birthday present. She has $40 to spend. She decides to buy her mom a sweater that costs$35. She picks up a small bracelet that costs $2 for her and goes to the register. Before she reaches the register, she remembers that there is a 9% sales tax. Will Joan be able to buy both items? In this concept, you will learn to calculate the sales tax. ### Guidance A discount is an amount that is deducted from the original sale price. A sales tax is a percentage of the sales price of an item that is added to a purchase. Most states have a sales tax. In Maine, the sales tax is 5.5%. If you purchase a book for$25, you will pay $25 plus the sales tax of 5.5%. Find the cost of buying the book in Maine. First, find the amount of sales tax for a$25 book. Find 5.5% of $25. 5.5% is also 0.055. Multiply$25 by 0.055.

25×0.055=1.375

Remember, dollars are rounded to the hundredths place. The sales tax is $1.38. Next, add the sales tax to the original price. 25+1.38=26.38 The total price for the book, including the sales tax, is$26.38.

### Guided Practice

Find the total cost including the sales tax.

Kelly and Jack bought tickets to the opera. Each ticket cost $45.00 and there was an 8% sales tax on the total order. How much did Kelly and Jack spend for their opera tickets? First, find the total cost of the tickets. Each ticket cost$45 and they bought 2 tickets.

45×2=90

Two tickets cost $90. Next, find the amount of sales tax for the two tickets. Find 8% of$90. 8% is also 0.08. Multiply $90 by 0.08. 90×0.08=7.20 The sales tax is$7.20. Then, add the sales tax to the cost of the tickets.

90+7.20=97.20

Kelly and Jack paid $97.20 for two tickets to the opera. ### Examples Find the total cost including the sales tax. #### Example 1 What would you pay for a$35.00 book if the sales tax is 5%?

First, find the amount of sales tax for a $35 book. Find 5% of$35. 5% is also 0.05. Multiply $35 by 0.05. 35×0.05=1.75 The sales tax is$1.75. Next add the sales tax to the cost of the book.

35+1.75=36.75

The total price of the book is $36.75 #### Example 2 What would you pay for a$99.00 a night hotel room if the sales tax is 7%?

First, find the amount of sales tax for $99. Find 7% of$99. 7% is also 0.07. Multiply $99 by 0.07. 99×0.07=6.93 The sales tax is$6.93. Next add the sales tax to the cost of the book.

99+6.93=105.93

The total price of the book is $105.93 #### Example 3 What is the cost of a$42.50 item with a 2% sales tax?

First, find the amount of sales tax for $42.50 item. Find 2% of$42.50. 2% is also 0.02. Multiply $42.50 by 0.02. 42.50×0.02=0.85 The sales tax is$0.85. Next, add the sales tax to the cost of the item.

42.50+0.85=43.35

The total price of the book is $43.35. ### Follow Up Credit: AForestFrolic Source: https://www.flickr.com/photos/stampinmom/4511812812/ License: CC BY-NC 3.0 Remember Joan at the mall? She wants to buy a$35 sweater and a $2 bracelet, but only has$40. To find out if she has enough, she needs to find the sum of the items and the sales tax.

First, add the cost of the sweater and the bracelet.

35+2=37

Next, find the sales tax for both items. Find 9% of $37. 9% is also 0.09. Multiply$37 by 0.09.

37×0.09=3.33

The sales tax is $3.33. Next, add the sales tax to the cost of the items. 37+3.33=40.33 The total price is$40.33. Joan will not have enough for both.

### Explore More

Find the total cost if the sales tax is 4%.

1. Total: $56.75 2. Total:$43.25
3. Total: $65.00 4. Total:$25.50
5. Total: $18.75 6. Total:$59.00
7. Total: $21.50 8. Total:$44.50
9. Total: $125.50 10. Total:$430.00
11. Total: $890.50 12. Total:$998.35
13. Total: $2,356.75 14. Total:$3005.50
15. Total: \$5678.25

### Vocabulary Language: English

Discount

Discount

When a product is discounted, the price is reduced. The discount is the difference between the original and reduced prices.
Percent

Percent

Percent means out of 100. It is a quantity written with a % sign.
Proportion

Proportion

A proportion is an equation that shows two equivalent ratios.
Sales Tax

Sales Tax

Sales tax is a small percentage of the sales price of a purchase, collected to support government services.