Objective 2 Solve using the five "Steps for Solving Applied...

Objective 2
Solve using the five "Steps for Solving Applied Problems." See Example 2
A digital camera is on sale for $\$ 119$ after a $15 \%$ discount. What was the original price of the camera?
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Key Concepts

Reverse Percentage Problem

This concept deals with finding the original value before a percentage change occurred. It requires setting up an equation that relates the final value to the original value by considering the complement of the percentage discount or increase, and then solving the equation to retrieve the unknown original value.

Discount Calculations

The idea behind discount calculations is to determine the change in value when a percentage reduction is applied to an original price. It involves understanding that the sale price represents a percentage of the original price (for example, 85% if there is a 15% discount) and using this relationship to find the original price.

Percentage Calculation

This concept refers to the process of converting percentages into decimals or fractions to facilitate mathematical operations. It is essential for understanding how parts of a whole are represented and manipulated in various types of problems, including those involving discounts, interest rates, and proportions.

Applied Problem Solving Steps

This concept involves a systematic approach to solving real-world problems by following a series of deliberate steps, such as understanding the problem, devising a plan, carrying out the plan, checking the solution, and communicating the results. It ensures that every aspect of the problem is addressed in a logical and structured manner.

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