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Chapter 6, Section 6

Chapter 6, Section 6. Tips and Discounts. Anticipatory Set.

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Chapter 6, Section 6

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  1. Chapter 6, Section 6 Tips and Discounts

  2. Anticipatory Set • Yesterday I went to Target with my coupon book, ready to buy a new flat screen television for $550.99. If I were to buy the flat screen before the winter sale was over, I would receive a 20% discount. Am I getting a good deal? Today you are going to help me figure that out. Should I but it or save my money? Let’s ftake a look and see!

  3. California State Standards • Number Sense 1.4 • Calculate given percentages of quantities and solve problems involving discounts at sales, earned interest and tips.

  4. Language of the Discipline • Tip • Discount • Total Cost

  5. What is a Tip? (Input) • A TIP is a gratuity or bonus paid out on top of the original amount of a bill to a server or worker. • Here, a percentage is assigned as a “TIP” and is given in addition to the original amount of the bill. • TIPS are easily calculated using a simple math function.

  6. How to Calculate a Tip (Input/Modeling) • When you are calculating a TIP, please remember that you will need to follow a set order of steps to solve. • Step 1: Convert your TIP Percentage into a Decimal. • Step 2: Multiply the decimal by the amount of the bill. • Example: 15% tip on a bill of $60.00 (0.15)($60.00) = TIP $9.00 = TIP

  7. How to Calculate a TOTAL Bill Including Tip. (Input/Modeling) • Not only can a TIP be easily determined, but the TOTAL amount of a bill INCLUDING the TIP can be solved for as well. • Remember that the TOTAL bill can be thought of as the following: • Original Amount + TIP Amount = Total Bill • Example: Your Dinner Bill is $50.00 and you want to leave a 20% TIP. • 20% can thought of as 0.20. • TIP is solved as ($50.00)(0.20) = $10.00 • Original Amount + TIP Amount = Total Bill • ($50.00) + ($10.00) = Total Bill • $60.00 = Total Bill

  8. Calculating the Total Bill(Input/Modeling) • Example: Mr. Smith and his family went to Marie Callendar’s for dinner and received a bill for $80.00. He decided to give his waitress a TIP of 20%. • What would be the cost of the TOTAL Bill? • Hint: ORIGINAL Cost + TIP = TOTAL Bill. • Please solve.

  9. Alternate Method to Solve a Total Bill (Input/Modeling) • Another way to solve for the TOTAL Bill is to rethink how you you set up the problem. • Here let’s look at the following example: • Bill is $120.00 and the TIP is 15%. • Instead of solving TIP first and then adding it to the ORIGINAL Bill, you can solve it in a different manner. • Here think of the MULTIPLIER as the following: • Original Bill + TIP Percent = TOTAL Bill • 100% + TIP = TOTAL Bill • 100% + 15% = 115% • 115% = 1.15 • ($120)(1.15) = TOTAL Bill • $138.00 = TOTAL Bill.

  10. What is a Discount? (Input) • A discount is an amount REMOVED from the Original Cost of an item. • Discount Amount is determined by completing the following steps: • Step 1: Convert your DISCOUNT percent into a decimal. • Step 2: Multiply the ORIGINAL Amount by the DISCOUNT Percent. The result is the DISCOUNT Amount.

  11. What is the SELLING Cost?(Input) • Selling Cost can be determined in 2 different ways • Solution 1: -Calculate the DISCOUNT and then subtract it away from the ORIGINAL Cost. • Solution 2: -Determine what will be remaining from the ORIGINAL Cost’s starting percentage of 100% and the DISCOUNT percent. -The remainder of the ORIGINAL 100% can then be used as a multiplier.

  12. How to Calculate Selling Cost • Selling Cost is the ORIGINAL COST of an item LESS the DISCOUNT AMOUNT. • ORIGINAL Cost – DISCOUNT Amount = SELLING Cost • Hint: Remember that when you DISCOUNT something, you are NOT paying for the entire amount. By taking away the DISCOUNT you then have the SELLING Cost. • Example: You buy an item and get a 20% discount, therefore you are paying for only 80% of the cost of the item. • 100% - 20% = 80%

  13. How to Calculate a Discount:Example #1 (Modeling) • Example #1: • An LSU sweatshirt costs $72.00. There is a 40 % discount. How much will the discount be? • 40% = .40 • (72.00)(0.40) = 28.80 • $28.80 • Step #! • Convert the percent into a decimal. Twice to the left! • Step #2 • Multiply the decimal an the dollar amount. • Step #3 • Solve to find the discounted amount

  14. How to Calculate a Discount:Example #2 (Modeling) • Example #1: • A new iPhone 5 costs $600.00. There will be a 20% discount. What is the new price? • 20% = .20 • (600.00)(.20) = 120.00 • 600.00 – 120.00 = 480.00 • $480.00 • Step #! • Convert the percent into a decimal. Twice to the left! • Step #2 • Multiply the decimal an the dollar amount. • Step #3 • Solve to find the discounted amount

  15. Check for Understanding • Please determine the BEST answer for the following question. • Please write your answer on your white boards and wait for the teacher’s signal. • On the teacher’s signal, hold up your white boards.

  16. Checking for UnderstandingQuestion #1 • You and your friend eat lunch at a restaurant. The bill is $22.76. How much would a 15% tip be?

  17. Checking for Understanding Question #2 • Find the total cost of a $35.44 meal and a 15% tip.

  18. Checking for Understanding Question #3 • A new kitchen table costs $675.00. It is now on sale for 35% off. What is the discounted amount?

  19. Checking for Understanding Question #4 • A skirt at Forever 21 costs $30.00. It was moved to the sale rack and now has a 40% discount. How much is the cost of the skirt after the discount?

  20. Guided Practice/Independent Practice • Guided Practice • Complete textbook pg 260. #15-17 • Raise your hand and wait for a stamp. • If you get an “R” on your paper, please go to the back table with Ms. Graham • Independent Practice • Please come textbook pg 260. #18-20

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