The sale price of the TV is $1,080. 2-7 Discount Find the sale price to the nearest cent. 1. $64 jacket; 20% discount SOLUTION:   Method 1: Subtract the discount from the regular price. Find the discount.

Subtract the discount from the regular price.   Method 2: Subtract the percent of discount from 100%. 100% – 20% = 80% The sale price is 80% of the regular price.

ANSWER:   $1,080.00 3. $7.50 admission; 20% off; 5.75% tax SOLUTION:   Find the discount.

  Subtract the discount from the regular price. The sale price of the admission is $6.   Find the sales tax.

Add the sales tax to the sale price.   So, the admission price including tax is $6.35.

  The sale price of the jacket is $51.20. ANSWER:   $51.20 2. $1,200 TV; 10% discount

ANSWER:   $6.35 4. $4.30 makeup; 40% discount; 6% tax SOLUTION:   Find the discount.

SOLUTION:   Method 1: Subtract the discount from the regular price. Find the discount.

  Subtract the discount from the regular price.

Subtract the discount from the regular price.

The sale price of the makeup is $2.58.   Find the sales tax.

  Method 2: Subtract the percent of discount from 100%. 100% – 10% = 90% The sale price is 90% of the regular price.

  The sale price of the TV is $1,080. ANSWER:   $1,080.00 3. $7.50 admission; 20% off; 5.75% tax SOLUTION:   Find the discount. eSolutions Manual - Powered by Cognero

 

Add the sales tax to the sale price.   So, the sale price including tax is $2.73. ANSWER:   $2.73 5. A bottle of hand lotion is on sale for $2.25. If this price represents a 50% discount from the original price, what is the original price to the nearest cent? SOLUTION:   The sale price is 100% – 50% or 50% of the original price. Let p represent the original price. Page 1

  So, the sale price including tax is $2.73. ANSWER:   2-7 Discount $2.73 5. A bottle of hand lotion is on sale for $2.25. If this price represents a 50% discount from the original price, what is the original price to the nearest cent?

Since $153 < $160, Sport City is offering a better deal. ANSWER:   Sport City; Sample answer: $153 < $160 7. Model with Mathematics  Refer to the graphic novel frame below. 

SOLUTION:   The sale price is 100% – 50% or 50% of the original price. Let p represent the original price.

So, the original price was $4.50. ANSWER:   $4.50 6. A tennis racket at Sport City costs $180 and is discounted 15%. The same model racket costs $200 at Tennis World and is on sale for 20% off. Which store is offering the better deal? Explain. SOLUTION:   Find the sale price of the tennis racket at each store.   Sport City: 85% of $180 = 0.85 × $180 = $153   Tennis World: 80% of $200 = 0.8 × $200 = $160   Since $153 < $160, Sport City is offering a better deal. ANSWER:   Sport City; Sample answer: $153 < $160 7. Model with Mathematics  Refer to the graphic novel frame below. 

a. Find the price that a student would pay including the group discount for each amusement park. b. Which is the best deal?

  SOLUTION:   a. Find the price that a student would pay for each park.

  Pirate Bay: Find the discount.

Subtract the discount from the regular price.

  Funtopia: Find the discount.

Subtract the discount from the regular price.

  Zoomland: Find the discount.

Subtract the discount from the regular price. b. The Funtopia price is the least expensive. So, Funtopia has the best deal.

a. Find the price that a student would pay including the group discount for each amusement park. b. Which the bestbydeal? eSolutions Manualis - Powered Cognero

  SOLUTION:  

ANSWER:   a. $28.76, $25.29, $28.87  b. Funtopia 8. The Wares want to buy a new computer. The Page 2 regular price is $1,049. The store is offering a 20% discount and a sales tax of 5.25% is added after the

Funtopia has the best deal. ANSWER:   a. $28.76, $25.29, $28.87  2-7 Discount b. Funtopia 8. The Wares want to buy a new computer. The regular price is $1,049. The store is offering a 20% discount and a sales tax of 5.25% is added after the discount. What is the total cost?

So, the original price was $9.00. ANSWER:   $9.00 10. telescope: discount, 30%; sale price, $126 SOLUTION:   The sale price is 100% – 30% or 70% of the original price. Let p represent the original price.

SOLUTION:   Find the discount.

  Subtract the discount from the regular price. The sale price of the skateboard is $839.20.   Find the sales tax.

So, the original price was $180.00. ANSWER:   $180.00 11. Use Math Tools  Compare and contrast tax and discount.

  Add the sales tax to the sale price. So, the total price including tax is $883.26. ANSWER:   $883.26 Find the original price to the nearest cent. 9. calendar: discount, 75%; sale price, $2.25 SOLUTION:   The sale price is 100% – 75% or 25% of the original price. Let p represent the original price.

SOLUTION:   Students should consider ways in which tax and discount are alike and ways in which they are different. Sample answers are given.

So, the original price was $9.00. ANSWER:   $9.00

ANSWER:   Sample answers are given.

10. telescope: discount, 30%; sale price, $126 SOLUTION:   The sale price is 100% – 30% or 70% of the original price. Let p represent the original price.

So, the original price was $180.00. eSolutions Manual - Powered by Cognero ANSWER:  

$180.00

12. Model with Mathematics  Give an example of the sale price of an item and the total cost including sales tax if the tax rate is 5.75% and the item is 25% off. SOLUTION:   Page 3 Students should choose an item and assign a regular price to the item. Then students should find the sale price after applying a 25% discount and the total cost

2-7 Discount 12. Model with Mathematics  Give an example of the sale price of an item and the total cost including sales tax if the tax rate is 5.75% and the item is 25% off. SOLUTION:   Students should choose an item and assign a regular price to the item. Then students should find the sale price after applying a 25% discount and the total cost after adding 5.75% tax.

ANSWER:   Sample answer: The regular price of a CD is $17.95. The sale price is $13.46 and the total cost including sales tax is $14.23. 13. Persevere with Problems  A store is having a sale in which all items are discounted 20%. Including tax, Colin paid $21 for a picture. If the sales tax rate is 5%, what was the original price of the picture? SOLUTION:   The price that Colin paid is 100% + 5% or 105% of the sale price. Let p represent the sale price.

  Sample answer: The regular price of the CD is $17.95. Find the discount.

  Subtract the discount from the regular price.

The sale price is $20.   The sale price is 100% – 20% or 80% of the original price. Let p represent the original price.

The sale price is $13.46.

  Find the sales tax.   The original price is $25. Add the sales tax to the sale price.

  So, the total cost including tax is $14.23. ANSWER:   Sample answer: The regular price of a CD is $17.95. The sale price is $13.46 and the total cost including sales tax is $14.23. 13. Persevere with Problems  A store is having a sale in which all items are discounted 20%. Including tax, Colin paid $21 for a picture. If the sales tax rate is 5%, what was the original price of the picture? SOLUTION:   The price that Colin paid is 100% + 5% or 105% of the sale price. Let p represent the sale price.

The sale price is $20.   The sale price is 100% – 20% or 80% of the original price. Let p represent the original price.

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ANSWER:   $25 14. Reason Abstractly  Describe two methods for  finding the sale price of an item that is discounted 30%. Which method do you prefer? Explain. SOLUTION:   Sample answer: One method is to find 30% of the regular price, then subtract the amount from the regular price. Another method is to find 70% of the regular price. The second method is more efficient because it can be done in one step rather than in two.   For example: Find the sale price of a shirt originally $20 that is 30% off.   First method:

$20 - $6 = $14 The shirt costs $14.   Second method: The shirt still costs $14. ANSWER:   Sample answer: One method is to find 30% of the regular price, then subtract the amount from the regular price. Another method is to find 70% of Page the 4 regular price. The second method is more efficient because it can be done in one step rather than in two.

  The original price is $25. ANSWER:   2-7 Discount $25 14. Reason Abstractly  Describe two methods for  finding the sale price of an item that is discounted 30%. Which method do you prefer? Explain. SOLUTION:   Sample answer: One method is to find 30% of the regular price, then subtract the amount from the regular price. Another method is to find 70% of the regular price. The second method is more efficient because it can be done in one step rather than in two.   For example: Find the sale price of a shirt originally $20 that is 30% off.   First method:

$20 - $6 = $14 The shirt costs $14.   Second method: The shirt still costs $14. ANSWER:   Sample answer: One method is to find 30% of the regular price, then subtract the amount from the regular price. Another method is to find 70% of the regular price. The second method is more efficient because it can be done in one step rather than in two.

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