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Transparency 5. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 5-4c. Objective. Solve problems involving sales tax and discount. Example 5-4c. Vocabulary. Sales tax. An additional amount of money charged on items that people buy.

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Transparency 5

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  1. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 5-4c Objective Solve problems involving sales tax and discount

  4. Example 5-4c Vocabulary Sales tax An additional amount of money charged on items that people buy

  5. Example 5-4c Vocabulary Discount The amount by which the regular price of an item is reduced

  6. Lesson 5 Contents Example 1Find the Total Cost Example 2Find the Total Cost Example 3Find the Sale Price Example 4Find the Percent of Discount

  7. Example 5-1a GOLFA set of golf balls sells for $20 and the sales tax is 5.75%. What is the total cost of the set? What is the total cost Tax = Percent of Total Must find the total cost Tax = 0.0575  $20 To do this, must find how much tax is being charged first Write percent equation using tax as the part Replace percent with 0.0575 Replace total with the cost of the golf balls $20 1/4

  8. Example 5-1a GOLFA set of golf balls sells for $20 and the sales tax is 5.75%. What is the total cost of the set? golf balls sells for $20 Tax = Percent of Total Multiply Tax = 0.0575  $20 To find the total cost, must add the cost of the golf balls with the tax Tax = $1.15 Total Cost = $20 + $1.15 Add Answer: Total Cost = $21.15 1/4

  9. Example 5-1b BOOKSA set of three paperback books sells for $35 and the sales tax is 7%. What is the total cost of the set? Answer: total cost = $37.45 1/4

  10. TENNISWhat is the total cost of a tennis racket if the regular price is $130 and the sales tax is ? Example 5-2a What is the total cost Tax = Percent of Total Must find the total cost Tax = 6 ½ %  $130 To do this, must find how much tax is being charged first Write percent equation using tax as the part Replace percent with 0.0650 Replace total with the cost of the tennis racket $130 2/4

  11. TENNISWhat is the total cost of a tennis racket if the regular price is $130 and the sales tax is ? Example 5-2a What is the total cost Tax = Percent of Total Multiply Tax = 6 ½ %  $130 To find the total cost, must add the cost of the golf balls with the tax Tax = $8.45 Total price = $130 + $8.45 Add Answer: Total price = $138.45 2/4

  12. BOOTSWhat is the total cost of a pair of boots if the regular price is $60 and the sales tax is %? Example 5-2b Answer: total cost = $63.30 2/4

  13. Example 5-3a MULTIPLE-CHOICE TEST ITEMWhitney wants to buy a new coat that has a regular price of $185. This weekend, the coat is on sale at a 33% discount. What is the sale price of the coat? sale price A$61.05 B$123.95 C$152.00 D$246.05 Must find the sale price Discount = Percent of Total To do this, must find how much the discount is Write percent equation using discount as the part 3/4

  14. Example 5-3a MULTIPLE-CHOICE TEST ITEMWhitney wants to buy a new coat that has a regular price of $185. This weekend, the coat is on sale at a 33% discount. What is the sale price of the coat? sale price A$61.05 B$123.95 C$152.00 D$246.05 Discount = Percent of Total Replace percent with 0.33 Replace total with the cost of the coat $185 Discount = 0.33  $185 Discount = $61.05 Multiply 3/4

  15. Example 5-3a MULTIPLE-CHOICE TEST ITEMWhitney wants to buy a new coat that has a regular price of $185. This weekend, the coat is on sale at a 33% discount. What is the sale price of the coat? sale price A$61.05 B$123.95 C$152.00 D$246.05 To find sale price, must subtract the cost of the coat with the discount Discount = Percent of Total Discount = 0.33  $185 Subtract Discount = $61.05 Sale price = $185 - $61.05 Choose the appropriate multiple choice answer Sales price = $123.95 Answer: B 3/4

  16. Example 5-3d MULTIPLE-CHOICE TEST ITEM Alex wants to buy a DVD player that has a regular price of $175. This weekend, the DVD player is on sale at a 20% discount. What is the sale price of the DVD player? A$35 B$210 C$171.50 D$140 Answer: D 3/4

  17. Example 5-4a WATCHESA sports watch with an original price of $86 is on sale for $60.20. What is the percent of discount? Must find percent of discount Discount = original price - sales price Discount = $86 - $60.20 To do this, must find how much the discount is by subtracting original price by sales price Discount = $25.80 Replace original price with $86 Replace sales price with $60.20 Subtract 4/4

  18. Example 5-4a WATCHESA sports watch with an original price of $86 is on sale for $60.20. What is the percent of discount? Discount = $86 - $60.20 Write the percent equation using discount as the part Discount = $25.80 Replace discount with $25.80 Discount = Percent of Total Define the variable as the percent $25.80  $86 = P Replace total with original cost of watch $86 4/4

  19. Example 5-4a WATCHESA sports watch with an original price of $86 is on sale for $60.20. What is the percent of discount? Discount = $86 - $60.20 Ask “what is being done to the variable?” Discount = $25.80 The variable is being multiplied by 86 Discount = Percent of Total $25.80  $86 = P Do the inverse on both sides of the equal sign $25.80 = P  $86 Bring down $25.80 = P  $86 $86 $86 Using a fraction bar, divide both sides by $86 4/4

  20. Example 5-4a WATCHESA sports watch with an original price of $86 is on sale for $60.20. What is the percent of discount? Discount = $86 - $60.20 Combine “like” terms Discount = $25.80 Use the Identity Property to multiply P  1 Discount = Percent of Total $25.80 = P  $86 Remember: variable is percent so multiply by 100 and add the % sign $25.80 = P  $86 $86 $86 = P  1 0.30 0.30 = P Answer: 30% = P 4/4

  21. Example 5-4c * FURNITUREA rocking chair with an original price of $375 is on sale for $318.75. What is the percent of discount? Answer: P = 15% 4/4

  22. End of Lesson 5 Assignment

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