2.1 Applications: Sales Tax and Discounts
Learning Objective: A.CED.1
A.CED.1
A.CED.3
A.REI.1
A.REI.3
Name _______________________
I will create a proportion to find sales tax and discount and solve it
I will create a proportion from a word problem and solve it
I will identify the constraints on a word problem
I will solve a proportion by using cross multiplication
I will solve a proportion
Find each percent of change. Round to the nearest tenth of a percent. Show your proportions.
1. original: 41
new: 24
2. original: 35
new: 32
3. original: 27
new: 73
Difference: ______
Difference: ______
Difference: ______
% of change = ______
% of change = ______
% of change = ______
4. The original selling price of a new sports video was $65.00. Due to the demand the price was
increased to $87.75. What was the percent of increase over the original price?
Find the total price of each item. Show your proportions.
5. dress: $22.50
6. limo: $85.00
Sales tax: 7.5%
Sales tax: 7%
7. messenger bag: $28.00
Sales tax: 7.25%
Sales Tax: ______
Sales Tax: ______
Sales Tax: ______
Total = ______
Total = ______
Total = ______
Find the discounted price of each item. Show your proportions.
8. guitar: $95
Discount: 15%
9. skateboard: $99.99
coupon: 20% off
10. computer: $1099.00
discount: 25%
Discount: ______
Discount: ______
Discount: ______
Total = ______
Total = ______
Total = ______
Find the final price of each item. Show your proportions.
11. sweater: $14.99
discount: 12%
tax: 6.25%
12. board game: $25.00
discount: 15%
tax: 7.5%
Discount: ______
Discount: ______
Subtotal: ______
Subtotal: ______
Tax: ______
Tax: ______
Total = ______
Total = ______
Solve each story problem. Remember to label your answer. Show your proportions.
13. Wal-Mart has a PS3 on sale for $240. The regular price is $300. Find the discount rate.
14. What would be the total bill, with tax, on a $25 purse with a 7.5% sales tax rate?
15. Target has an I-Pod touch on sale for 12.5% off. The regular price is $300. Find the sale price.
16. A $5 Value Meal at McDonald’s ends up costing $5.35 with tax. What was the tax rate?
17. Sears is selling plasma TV’s for $1200. They usually sell for $1500. What is the discount rate?
18. After Jean gave away
2
of her fish, she had 12 fish left. How many fish did she have before she gave some
5
away? Write an equation only. Do not solve.
19. This year, a ring selling for $53 costs 7 dollars less than twice what it cost last year. What did the ring cost
last year? Write an equation only. Do not solve.
20. Four times Mary’s age is the same as 8 less than 5 times her age. Find her age by writing an
equation. Solve by showing work and write your answer as a complete sentence.
Answers: 1) 17, 41.5%
3) 46, 170.4%
11) 1.80, 13.19, 0.82, 14.01
5) 1.69, 24.19
7) 2.03, 30.03
15) 12.5  x , discount = 37.50, sales price = $262.50
100
300
9) 20, 79.99
13) x  60 , 20%
100 300
17)
x
300
, 20%,

100 1500
19) 53 = 2x – 7