Master Word Problem Solving with This Plan

Table of Contents

1. Introduction
2. Solving Word Problems: Finding Salary Before a Raise
3. Solving Word Problems: Determining the Cost of Carpeting a Room
4. Solving Word Problems: Finding the Number of Rides at a County Fair
5. Solving Word Problems: Calculating Angle Measures in a Triangle
6. Conclusion

Introduction

In this article, we will Delve into solving word problems step by step. We will explore various scenarios, including calculating salary before a raise, determining the cost of carpeting a room, finding the number of rides at a county fair, and calculating angle measures in a triangle. By understanding the problem-solving process and using mathematical concepts, we can find solutions with ease and accuracy.

Solving Word Problems: Finding Salary Before a Raise

When faced with a word problem involving a salary raise, it is essential to Apply algebraic equations. By following the steps below, we can determine the salary before the raise and validate our solution:

1. Introduction to the problem: The problem states that a 5% raise results in a new salary of $45,000.
2. Variable assignment: Let x represent the old salary before the raise.
3. Write the equation: The equation to solve is x + (5% of x) = $45,000.
4. Simplify the equation: Rewrite 5% as 0.05 and combine like terms to get 1.05x = $45,000.
5. Solve for x: Divide both sides of the equation by 1.05 to obtain x = $42,857.
6. Verify the solution: Substitute the value of x into the equation and check if it equals $45,000.

By following these steps, We Are able to find the previous salary before the 5% raise, which in this case is $42,857.

Pros:

• The problem-solving process allows for accurate calculation of the previous salary.
• The equation provides a clear structure for solving similar word problems.

Cons:

• The equation can become more complex in scenarios where multiple factors affect the raise percentage.

Solving Word Problems: Determining the Cost of Carpeting a Room

Determining the cost of carpeting a room involves understanding the relationship between area and cost per square foot. By following these steps, we can calculate the cost of carpeting a room and ensure the accuracy of our solution:

1. Introduction to the problem: The problem states that it costs $250 to carpet a room that is 14 by 18 feet.
2. Calculate the area: Multiply the length and width of the room to find the area, which is 252 square feet.
3. Determine the cost per square foot: Divide the total cost ($250) by the area (252 square feet) to find the cost per square foot. In this case, it is approximately $0.99.

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