Solving Cost Problems: A Google SEO Optimized Guide with Keyword Analysis

When dealing with cost problems, understanding algebraic equations can help simplify complex scenarios. For instance, let's consider a scenario where you buy 3 markers and 3 pencils with 128 rocks, and a marker costs 4 times the amount as a pencil. This article will walk you through the step-by-step solution to this problem, optimized for better Google search engine indexing.

Introduction to Cost Calculations

Cost calculations involve using algebraic equations to determine unknown values. In the context of our example, let's define the cost of a pencil as 'p' and the cost of a marker as 'm'. The relationship between these costs is provided as:

A marker costs 4 times the amount as a pencil. The cost of 3 markers and 3 pencils totals 128 rocks.

Step-by-Step Solution

To solve the problem, we will follow these steps:

Define Variables: Let the cost of a pencil be represented as 'p', and the cost of a marker be 'm'. According to the given information, we can write: Form Equations: Based on the given information, we can form two equations: Solve Using Substitution Method:

Forming and Solving Equations

Let's represent the cost of a pencil as 'p' and the cost of a marker as 'm'. We are given that a marker costs 4 times the amount as a pencil, and the total cost of 3 markers and 3 pencils is 128 rocks. Therefore, we can write:

Equation 1 (Total Cost Equation):

3m 3p 128

Equation 2 (Relationship Between Costs):

m 4p

Substituting and Solving for 'p'

To find the cost of a pencil, we will substitute Equation 2 into Equation 1:

Substitute m 4p into 3m 3p 128: 3 × 4p 3p 128 12p 3p 128 15p 128 Solve for p: p 128 / 15 ≈ 8.53 rocks

The cost of a pencil is approximately 8.53 rocks.

Calculating the Cost of a Marker

Now, let's calculate the cost of a marker using Equation 2:

Since m 4p, and p 128 / 15: m 4 × (128 / 15) ≈ 34.13 rocks

The cost of a marker is approximately 34.13 rocks.

Conclusion and SEO Optimization

By following this step-by-step guide, you can solve similar cost problems efficiently. To ensure that this content is optimized for Google search engine indexing, here are some SEO best practices:

Keyword Integration: Ensure that common search queries are seamlessly integrated into your content, such as 'cost calculation', 'algebraic equations', and 'Google SEO optimization'. Use of H Tags: Use H1, H2, and H3 tags to organize your content logically and make it more readable, enhancing readability for both users and search engines. SEO-Friendly URLs: Create SEO-friendly URLs that reflect the content of the page and include your primary keyword.

By optimizing your content for these factors, you can improve its visibility and relevance in search engine results, making it easier for potential users to find and engage with its valuable information.