Solving Percent Word Problems:

Solving percent word problems involves understanding how percentages relate to a whole and how to use that relationship to find missing values. These problems often involve real-life situations such as discounts, sales tax, population data, or financial calculations. To solve percent word problems, follow these key steps:

Key Concepts:

A percentage is simply a fraction out of 100. For example, 30% means 30 out of every 100, or 30/100.

Percent word problems can ask you to find the part, the total (whole), or the percentage.

Steps to Solve Percent Word Problems:

Read the Problem Carefully:

Pay close attention to what is given (part, percent, or total) and what is being asked (part, total, or percent).

Set Up the Problem Using the Formula:

For finding a part:

Part=Percent/100×Total

For finding the total (when given the part and percent):

Total=Part×100/Percent

For finding the percent (when given the part and total):

Percent = Part / Total × 100

Solve Step by Step:

Convert the percentage into a decimal by dividing by 100 if needed.

Use multiplication or division as per the formula to find the required value.

Check the Result:

Ensure your result makes sense in the context of the problem. Double-check calculations and units.

Example of Solving a Percent Word Problem:

Problem: A store is having a 20% off sale. If an item costs $50, how much is the discount?

Solution:

Identify the total price of the item ($50) and the percent off (20%).

Use the formula to find the discount:

Discount = (20 / 100) × 50 = 10

The discount is $10.

Why Solving Percent Word Problems Is Useful:

Solving percent word problems helps develop critical thinking and problem-solving skills. Whether it's for calculating discounts, sales tax, tips, or finding percentages in various contexts, mastering percent word problems is essential for real-world applications in shopping, finance, and everyday life.

By practicing these steps, you'll be able to confidently solve percent-related word problems and apply them to real situations.

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