 Chapter 6, Section 6 Tips and Discounts

Anticipatory Set  Yesterday I went to Target with my coupon book, ready to buy a new flat screen television for $ 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!

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

Language of the Discipline  Tip  Discount  Total Cost

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.

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

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  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

Calculating the Total Bill (Input/Modeling)  Example: Mr. Smith and his family went to Marie Callendar’s for dinner and received a bill for $ 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.

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 $ 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  $ = TOTAL Bill.

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.

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.

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%

How to Calculate a Discount: Example #1 (Modeling)  Example #1:  An LSU sweatshirt costs $ There is a 40 % discount. How much will the discount be?  40% =.40  (72.00)(0.40) =  $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

How to Calculate a Discount: Example #2 (Modeling)  Example #1:  A new iPhone 5 costs $ There will be a 20% discount. What is the new price?  20% =.20  (600.00)(.20) =  – =  $  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

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.

Checking for Understanding Question #1  You and your friend eat lunch at a restaurant. The bill is $ How much would a 15% tip be?

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

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

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

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