SEO Optimization for Math Problems

Introduction

SEO optimization is not limited to web content but can also be applied to educational problems, making complex concepts more accessible to readers. In this article, we will explore a mathematical problem involving sandwiches and provide a detailed solution. This approach will not only demonstrate SEO best practices but also offer a clear and concise method for solving similar problems using simple algebra.

The Problem

Ali, Ben, and Carla made a total of 20 sandwiches. Ben made 3 times as many sandwiches as Ali, and Carla made twice as many sandwiches as Ben. How many sandwiches did Ali make?

The Solution

Let's define the variables and set up the equation to solve the problem:

Step 1: Define the Variables

Let x the number of sandwiches Ali made.

Step 2: Express Ben's and Carla's Sandwiches in Terms of x

Ben made 3 times as many sandwiches as Ali, so:

Ben's sandwiches: 3x

Carla made twice as many sandwiches as Ben, so:

Carla's sandwiches: 2 × (3x) 6x

Step 3: Set Up the Equation

The total number of sandwiches made by Ali, Ben, and Carla is 20, so:

(text{Ali's sandwiches} text{Ben's sandwiches} text{Carla's sandwiches} 20)

(x 3x 6x 20)

(1 20)

Step 4: Solve for x

(x frac{20}{10} 2)

Therefore, Ali made 2 sandwiches.

Checking the Solution

To ensure the solution is correct, we can substitute (x 2) back into the expressions for Ben and Carla's sandwiches:

Ben's sandwiches: (3 times 2 6) Carla's sandwiches: (6 times 2 12)

Add these values together:

2 (Ali) 6 (Ben) 12 (Carla) 20

The solution is verified to be correct.

Conclusion

This problem demonstrates the power of algebraic methods in solving real-world problems. By breaking down the problem into manageable steps and using clear, concise language, we can make complex problems more accessible and easier to understand for a wide audience.

By applying SEO optimization techniques, such as clear headings, relevant keywords, and structured content, we can help search engines and readers alike find valuable information quickly and easily. Incorporating step-by-step solutions and explanations can enhance the readability and SEO value of educational content on the web.