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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

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

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

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

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

Example 5-1b BOOKS A 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 = $ /4

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

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

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

Example 5-3a MULTIPLE-CHOICE TEST ITEM Whitney 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? A $61.05 B $ C $ D $ /4 Must find the sale price sale price To do this, must find how much the discount is Write percent equation using discount as the part Discount = Percent of Total

Example 5-3a MULTIPLE-CHOICE TEST ITEM Whitney 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? A $61.05 B $ C $ D $ Discount = 0.33 Discount = $ /4 sale price Discount = Percent of Total Replace percent with 0.33 Replace total with the cost of the coat $185  $185 Multiply

Example 5-3a MULTIPLE-CHOICE TEST ITEM Whitney 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? A $61.05 B $ C $ D $ Discount = 0.33 Discount = $ /4 sale price Discount = Percent of Total  $185 To find sale price, must subtract the cost of the coat with the discount Sale price = $185 - $61.05 Subtract Sales price = $ Choose the appropriate multiple choice answer Answer: B

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 $ D $140 Answer: D 3/4

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

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

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

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

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

End of Lesson 5 Assignment Lesson 8:5Sales Tax and Discount All