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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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Prices Involving Sales Tax

### Let’s Think About It

License: CC BY-NC 3.0

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. 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.

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. The sales tax is$7.20. Then, add the sales tax to the cost of the tickets.

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. The sales tax is$1.75. Next add the sales tax to the cost of the book.

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. The sales tax is$6.93. Next add the sales tax to the cost of the book.

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. The sales tax is$0.85. Next, add the sales tax to the cost of the item.

The total price of the book is $43.35. ### Follow Up 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.

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

The sales tax is $3.33. Next, add the sales tax to the cost of the items. 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

### Answers for Explore More Problems

To view the Explore More answers, open this PDF file and look for section 8.19.

### 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.

1. [1]^ License: CC BY-NC 3.0
2. [2]^ License: CC BY-NC 3.0

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