Name ______Class ______Date ______

Aim: How do we calculate discounts and taxes? (Day 1)

Warm up: Where have you seen discounts in real life?

Homework:

NOTES:

·  Discount: Money taken off a bill. Could be a ______or fixed amount. Discounts are always applied ______. Discounts are always ______.

·  Sales Price: what you pay after the ______has been taken off the bill.

·  Taxes: Money paid to the government for items. There are local, state and federal taxes. Taxes are always ______to a bill. Taxes are always applied after discounts are taken off the bill.

Steps for calculating bills with TAXES & DISCOUNTS

  1. Apply Discount. ORIGINAL PRICE* DISCOUNT (in decimal form)
  2. Find Sales Price: ORIGINAL PRICE- DISCOUNT AMOUNT
  3. Calculate Taxes: SALES PRICE * TAX AMOUNT (in decimal form)
  4. Find Purchase Price: SALES PRICE + TAXES

Problem 1: Peter went shopping at Macy’s. He bought a North Face jacket for $220.80. He had a coupon for 20 percent off his bill. How much did Peter pay for his jacket? / Problem 2: John went to the supermarket and spent $100.50 on groceries. NYS tax is 8.6% on food. How much was John’s final bill?
Problem 3: Matthew went car shopping. He was looking to buy a Jeep for $35,000. After haggling with the sales representative Matthew received a 10 percent discount. Since he bought the Jeep in Nassau County he only paid 8.5 percent in taxes. What is the final price of the Jeep?
Problem 1: Peter bought a pair of sneakers for $150 dollars. There was a 20 percent discount and an 8% tax.
1.  What is the discount amount?
2.  What is the sales price?
3.  What is the tax amount?
4.  What is the final price? / Problem 2: Tammy bought a pair of boots for $125 dollars. There was a 15 percent discount and a 6 percent tax.
1.  What is the discount amount?
2.  What is the sales price?
3.  What is the tax amount?
4.  What is the final price?
Problem 3: Anna bought a shirt for $20, a pair of jeans for $70 and a jacket for $200. If there was a coupon for 25 percent off and state tax of 7.5 %.
1.  What is the discount amount?
2.  What is the sales price?
3.  What is the tax amount?
4.  What is the final price? / Problem 4: A new iPhone with 36G of memory cost $299. Electronic tax in NYS is 8.6 percent. AT&T offered new customers a 4 percent discount.
1.  What is the discount amount?
2.  What is the sales price?
3.  What is the tax amount?
4.  What is the final price?
Problem 5: Jeep was offering new customers an 8.5% discount on all new cars. The Jeep eligible for this discount had a purchase price of $31,265. CT tax on new cars is 8.655%.
1.  What is the discount amount for the Jeep?
2.  What is the pre-tax price?
3.  What is the tax amount for the Jeep?
4.  What is the purchase price of the Jeep for new customers?
Challenge: Danny was looking to purchase a new car in NY or NJ. He wants a $28,000 Acura. The NJ sales representative offered Danny a 12.5 percent discount. Sales tax on cars in NJ is 7.5 percent. The NY sales representative offered Danny a discount of 16.5 percent and the sales tax on cars in NY was 8.75 percent. Which state would you advise Danny to buy in? Justify you answer using mathematical terminology.

WORK TIME: ALL WORK DONE ON LOOSELEAF

Vasti And Disponzio