Example 6.30 from Prealgebra, 6.3 Solve Sales Tax, Commission, and Discount Applications
Elise bought a dress that was discounted off of the original price of What was ⓐ the amount of discount and ⓑ the sale price of the dress?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
ⓐ Before beginning, you may find it helpful to organize the information in a list.
Original price = $140
Discount rate = 35%
Amount of discount = ?
| Identify what you are asked to find. | What is the amount of discount? |
| Choose a variable to represent it. | Let the amount of discount. |
| Write a sentence that gives the information to find it. | The discount is 35% of the original price. |
| Translate into an equation. | |
| Simplify. | |
| Check if this answer is reasonable. | |
| Yes. A $49 discount is reasonable for a $140 dress. | |
| Write a complete sentence that answers the question. | The amount of discount was $49. |
ⓑ
Original price = $140
Amount of discount = $49
Sale price = ?
| Identify what you are asked to find. | What is the sale price of the dress? |
| Choose a variable to represent it. | Let the sale price. |
| Write a sentence that gives the information to find it. | The sale price is the original price minus the discount. |
| Translate into an equation. | |
| Simplify. | |
| Check if this answer is reasonable. | |
| Yes. The sale price, $91, is less than the original price, $140. | |
| Write a complete sentence that answers the question. | The sale price of the dress was $91. |
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
Find ⓐ the amount of discount and ⓑ the sale price: Sergio bought a belt that was discounted from an original price of
How did it go?