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Homer received commission when he sold a car for What rate of commission did he get?
4%
Bernice earned commission when she sold an living room set. What rate of commission did she get?
5.5%
Applications of discount are very common in retail settings [link] . When you buy an item on sale, the original price of the item has been reduced by some dollar amount. The discount rate , usually given as a percent, is used to determine the amount of the discount. To determine the amount of discount , we multiply the discount rate by the original price. We summarize the discount model in the box below.
An amount of discount is a percent off the original price.
The sale price should always be less than the original price. In some cases, the amount of discount is a fixed dollar amount. Then we just find the sale price by subtracting the amount of discount from the original price.
Jason bought a pair of sunglasses that were on sale for off. The original price of the sunglasses was What was the sale price of the sunglasses?
| Identify what you are asked to find. | What is the sale price? |
| 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. |
 |
| Write a complete sentence that answers the question. | The sale price of the sunglasses was $29. |
| Check if this answer is reasonable. | Yes. The sale price, $29, is less than the original price, $39. |
Marta bought a dishwasher that was on sale for off. The original price of the dishwasher was What was the sale price of the dishwasher?
$450
Orlando bought a pair of shoes that was on sale for off. The original price of the shoes was What was the sale price of the shoes?
$82
In [link] , the amount of discount was a set amount, In [link] the discount is given as a percent of the original price.
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?
ⓐ 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. |
 |
| Write a complete sentence that answers the question. | The amount of discount was $49. |
| Check if this answer is reasonable. | Yes. A $49 discount is reasonable for a $140 dress. |
ⓑ
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. |
 |
| Write a complete sentence that answers the question. | The sale price of the dress was $91. |
| Check if this answer is reasonable. | Yes. The sale price, $91, is less than the original price, $140. |
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