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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda66b91c-c650-4704-946b-ff44bba10480%2F6cdd989d-b546-4277-af85-eaafbe63721f%2Foclaf0b_processed.jpeg&w=3840&q=75)
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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