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With Discounts Sales Tax and Tips LEARNING ABOUT PERCENT

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Fractions, decimals, and percent are used everywhere all around us. In this tutorial you will practice calculating discounts and sale prices and learn strategies for finding a tip. HOW TO USE THIS TUTORIAL What is a StAIR? A StAIR activity is a stand alone instructional resource. This StAIR was created for students to learn more about finding the percent of a number in two real life situations: sales tax and tipping. After viewing the instructional parts of the power point, students will work through several practice problems to demonstrate their understanding of the skill. Follow the directions on each page to learn more about how to find the percent of a number.

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HOME PAGE Start with the review, then move on to the lesson. When youre done, try the practice problems.

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When you are changing a percent to a decimal, divide the percent by 100 and drop the percent sign. Shortcut - just move the decimal two places to the left! Look at the table to see how its done. REVIEW Remember … fractions, decimals, and percents are related. You can easily change from a decimal to a percent or from a percent to a decimal.

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Now, its your turn … Example 1: Change 32% to a decimal0.32 Example 2: Write 153% as a decimal1.53 REVIEW

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When you are changing a decimal to a percent, multiply the number by 100 and add a percent sign. Shortcut - move the decimal two places to the right. Heres what that looks like. REVIEW

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Lets try these problems… Example 1: Change 0.86 to a percent86% Example 2: Write 0.23 as a percent 23% REVIEW

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GREAT WORK !!!

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Its important to know how to work with percents when you are shopping so you can find the cost of sale items and know what to leave for a tip when you are provided a service. Lets first talk about LESSON

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Good news! The cell phone youve always wanted has just gone on sale. The regular price of the phone is $128 and its 20% off. EXAMPLE 1 DISCOUNTS Click the arrow to find out how.

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128 x % = x 0.20 = 3. $ –$ = 1. Change the percent to a decimal. 2. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. 3. Now to find the sale price, subtract the discount from the regular price. $ $25.60 Ready for another example? EXAMPLE 1 DISCOUNTS

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In a catalog you find a telescope on sale for 35% off. The original price is $180. How much is the sale price? EXAMPLE 2 DISCOUNTS Click the arrow to find out how.

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180 x % = x 0.35 = 3. $ –$ = 1. Change the percent to a decimal. 2. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. 3. Now to find the sale price, subtract the discount from the regular price. $ $63.00 Lets try one more. EXAMPLE 2 DISCOUNTS

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On the clearance counter you find a calendar marked 75% off. The regular price of the calendar was $9.00. What is the sales price? EXAMPLE 3 DISCOUNTS Click the arrow to find out how.

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075 x % = x 0.75 = 3. $9.00 –$ 6.75 = 1. Change the percent to a decimal. 2. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. 3. Now to find the sale price, subtract the discount from the regular price. $ $6.75 Not too hard, is it? Now, we cant forget about sales tax! So click the arrow to learn how thats calculated. EXAMPLE 3 DISCOUNTS 6

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To find the amount of sales tax you need to: SALES TAX 1. Change the percent to a decimal. For more information and examples about sales tax click. HERE 2. Multiply that by the cost of your item. 3. Finally, add that amount to the cost of your item.

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In our cell phone example we found the sale price to be $ SALES TAX EXAMPLE 1 1. Change the tax rate to a decimal. 6% = Multiply 0.06 by the cost of your item. Round your answer to the nearest hundredth. 3. Add that amount to your original cost x = This should be rounded to $6.14 6% = 0.06 $ $6.14 = $ This is the ACTUAL amount you would pay for the cell phone.

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In the telescope example we found the sale price to be $ SALES TAX EXAMPLE 2 1. Change the tax rate to a decimal. 6% = Multiply 0.06 by the cost of your item. Round your answer to the nearest hundredth. 3. Add that amount to your original cost x 117 = % = 0.06 $117 + $7.02 = $ This is the ACTUAL amount you would pay for the telescope.

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The calendar cost was $2.25 SALES TAX EXAMPLE 3 1. Change the tax rate to a decimal. 6% = Multiply 0.06 by the cost of your item. Round your answer to the nearest hundredth. 3. Add that amount to your original cost x 2.25 = This can be rounded to % = 0.06 $ $0.14= $2.39 This is the ACTUAL amount you would pay for the calendar.

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FOR MORE INSTRUCTION Click Here

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Its important to be able to figure out a tip quickly. There are many circumstances where this is needed … TIPPING for servers at restaurants for the person who cuts your hair for the valet who retrieves your car or for the taxi cab driver

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TIPPING To determine the tip, you need to change the percent to a decimal and multiply by the cost of the service. Click for a shortcut. It is generally accepted that a tip should be between 15% and 20% of the service provided. The rule of thumb is 15% for adequate service and 20% for exceptional service. So, if your bill at the diner came to $23.50 and you had exceptional service you would want to leave a 20% tip. 20% = x = $4.70 HERE

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A customer wants to leave a 15% tip on a bill for $18.60 at a Chinese restaurant. Find out how much the customer should leave. TIPPING EXAMPLE x = % = 0.15 Click HERE for a reminder about using mental math Click HERE for a reminder about using mental math $2.79 is 15% of $18.60

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A customer decides to leave a 20% tip for his dog groomer. The cost for the service was $ What is the tip the customer leaves? TIPPING EXAMPLE x 35 = 7 20% = 0.2 Click HERE for a reminder about using mental math Click HERE for a reminder about using mental math $7.00 is 20% of $35.00

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Rachel gets a ride in a taxi from the airport. The cab fare came to $27 and she decided to tip the driver 18%. How much money did she give to the driver? TIPPING EXAMPLE x 27 = % = 0.18 She tipped the driver $4.86

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Click on the attached video link to review what we learned about solving percent problems with taxes and tips. VIDEO

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PRACTICE Now, youre ready to practice some problems on your own.

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DISCOUNT PROBLEM 1 Max found the bike that hes wanted for a long time on sale at 25% off. The original price of the bike was $210. What is the price with the discount? $ $ $ $157.50

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You Got It! Way to Go

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WRONG ANSWER Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. Now to find the sale price, subtract the discount from the regular price. 25% = x 210 = = Back to the Problem Back to the Problem

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DISCOUNT PROBLEM 2 The bakery sells a dozen cupcakes for $29. To celebrate their one year anniversary the owner is selling all cupcakes for 20% off the regular price. How much will it cost to buy a dozen cupcakes on this day? $23.20 $24.80 $28.52 $23.00

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Sorry Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. Now to find the sale price, subtract the discount from the regular price. 20% = x 29 = = Back to the Problem Back to the Problem

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The answer is $23.20 YES!

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DISCOUNT PROBLEM 3 A necklace regularly sells for $ The store advertises a 15% discount. What is the sale price of the necklace in dollars? $15.60 $16.70 $16.20 $15.30

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RIGHT ON Good Work

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WRONG ANSWER Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. Now to find the sale price, subtract the discount from the regular price. 15% = x 18 = = Back to the Problem Back to the Problem

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DISCOUNT PROBLEM 4 A new radio is priced at $30. The store has an end-of-year sale and all their items are 30% off. What is the sale price of the radio? $27.00 $21.00 $24.00 $9.00

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You Got It! Way to Go

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WRONG ANSWER Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. Now to find the sale price, subtract the discount from the regular price. 30% = x 30 = = Back to the Problem Back to the Problem

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DISCOUNT PROBLEM 5 A chair that costs $210 was reduced by 40% for a one-day sale. After the sale, the sale price was increased by 40%. What is the price of the chair? $ $ $ $210.00

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You Got It! Way to Go

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WRONG ANSWER Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. 40% = 0.4 Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. 0.4 x 210 = ________ Now to find the sale price, subtract the discount from the regular price – = _________ Back to the Problem Back to the Problem Now you have to find 40% of that sale price. So, $126 x 0.4 = _______. Then, add that amount to $126.

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With problems involving discounts FOR MORE PRACTICE Click Here

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GRATUITY PROBLEM 1 The cost of Kens car wash was $ If he wants to give his detailer a 15% tip, about how much of a tip should he leave? $2.40 $3.60 $4.60 $4.80

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You Got It! Way to Go

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WRONG ANSWER Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. 15% = x = Back to the Problem Back to the Problem

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GRATUITY PROBLEM 2 Constance got a manicure at the beauty shop. The cost for the manicure was $ She left a 15% tip. How much money did she tip? $1.70 $3.83 $5.10 $38.25

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Sorry Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. Now, round your answer to the nearest hundredth. 15% = x = $3.83 Back to the Problem Back to the Problem

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The answer is $3.83 YES!

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GRATUITY PROBLEM 3 At a diner, Ruthie orders soup, salad, and a drink that comes to $7. Find the total cost of the meal if she leaves an 18% tip. $8.18 $8.26 $1.26 $7.85

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RIGHT ON Good Work

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WRONG ANSWER Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. Now to find the TOTAL COST of the meal you need to add the tip amount to the cost of food. 18% = x 7 = = Back to the Problem Back to the Problem

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GRATUITY PROBLEM 4 A cab ride home cost Billy gave the driver a 20% tip for his great service. How much money did Billy give the cab driver? $32.80 $1.64 $3.86 $3.28

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You Got It! Way to Go

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WRONG ANSWER Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. 20% = x = Back to the Problem Back to the Problem

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GRATUITY PROBLEM 5 You and five friends go to lunch. You plan to split the bill evenly, and you plan to leave a 20% tip. The bill comes to $ How much will each person pay for the meal? $8.88 $11.10 $13.32 $12.65

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You Got It! Way to Go

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WRONG ANSWER Do you need ? YE S YE S NO

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HERES WHAT TO DO Change the percent to a decimal. 20% = 0.2 Multiply this decimal by the regular price. Dont forget to place the decimal in the right place in your answer. 0.2 x = ________ Now to find the total price, add the tip to the bill = _________ Back to the Problem Back to the Problem To find out how much each person should contribute, divide that total by ÷ 5 = __________

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Easy! Move the decimal one place to the left. SHORTCUT 1. Find 10 % of your number by dividing the total by To find 20% just double that number since 20 % = 10% + 10% Thats a great idea!

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Easy! Move the decimal one place to the left. SHORTCUT 1. Find 10 % of your number by dividing the total by Remember 15% = 10% + 5%, so lets find 5% now Moving the decimal one place to the left for $18.60 gives us $1.86 5% is half of 10%. So, divide $1.86 in half and you get $ Now, you just need to add these together. $ $1.86 = $2.79 $2.79 is a 15% tip on $18.60

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Easy! Move the decimal one place to the left. SHORTCUT 1. Find 10 % of your number by dividing the total by Since 20% = 10% + 10%, just double the answer you got in step 1. Moving the decimal one place to the left for $35.00 gives us $3.50 $3.50 x 2 = $7.00

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CONGRATULATIONS! Youve made it through all the problems in this tutorial. Now, you can put these math skills to good use the next time youre out shopping.

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