4.3 The price of a coat after the discount is \( \$ 21 \). What was the original price? Show your work! The original price of the coat was \( \$ \)

To determine the **original price** of the coat before the discount, we need more information about the nature of the discount applied. Specifically, we need to know one of the following: 1. **Discount Percentage**: If the discount was a certain percentage off the original price. 2. **Discount Amount**: If a fixed dollar amount was subtracted from the original price. Since the problem statement only provides the **final price after the discount** (\$21) without specifying the **discount rate** or **amount**, we cannot calculate the original price with the given information. However, I can show you how to solve the problem in both scenarios once the missing information is provided. --- ### **Scenario 1: Discount Percentage is Known** **Example:** *Suppose the discount was **30%** off the original price.* **Let’s denote:** - \( P \) = Original price of the coat - Discount = 30% of \( P \) = \( 0.30P \) **After the discount, the price is \$21:** \[ P - 0.30P = 21 \] \[ 0.70P = 21 \] \[ P = \frac{21}{0.70} = 30 \] **So, the original price was \$30.** --- ### **Scenario 2: Discount Amount is Known** **Example:** *Suppose the discount was **\$5** off the original price.* **Let’s denote:** - \( P \) = Original price of the coat - Discount = \$5 **After the discount, the price is \$21:** \[ P - 5 = 21 \] \[ P = 21 + 5 = 26 \] **So, the original price was \$26.** --- **Please provide either the discount percentage or the discount amount** so that we can accurately determine the original price of the coat.