12. Pamela bought a new jacket on sale for 30% off the original price. She paid $32 for the sweater. What was the original price?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem: Calculating the Original Price of a Discounted Jacket**

Pamela bought a new jacket on sale, with a discount of 30% off the original price. She paid $32 for the sweater. What was the original price?

To solve this problem, let's follow these steps:

1. **Understand the Discount**: The jacket was sold at 30% off. This means Pamela paid 70% of the original price.

2. **Set Up the Equation**: 
   \[
   0.70 \times \text{Original Price} = 32
   \]

3. **Solve for the Original Price**:
   \[
   \text{Original Price} = \frac{32}{0.70}
   \]

4. **Calculate**:
   \[
   \text{Original Price} = 45.71
   \]

Therefore, the original price of the jacket was approximately $45.71.
Transcribed Image Text:**Problem: Calculating the Original Price of a Discounted Jacket** Pamela bought a new jacket on sale, with a discount of 30% off the original price. She paid $32 for the sweater. What was the original price? To solve this problem, let's follow these steps: 1. **Understand the Discount**: The jacket was sold at 30% off. This means Pamela paid 70% of the original price. 2. **Set Up the Equation**: \[ 0.70 \times \text{Original Price} = 32 \] 3. **Solve for the Original Price**: \[ \text{Original Price} = \frac{32}{0.70} \] 4. **Calculate**: \[ \text{Original Price} = 45.71 \] Therefore, the original price of the jacket was approximately $45.71.
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