Solving for the Total Number of Trees in a Garden

Imagine a beautifully landscaped garden where mango and coconut trees thrive side by side, creating a lush environment. If we know that 18 out of the total trees are mango trees and there are 36 such mango trees, how can we determine the total number of trees in the garden? This is a classic problem in basic algebra and a perfect example for SEO optimization to help address search queries related to tree counts in gardens. Let's break it down step by step.

Understanding the Problem

We are given that 18% of the trees in a garden are mango trees, and there are 36 mango trees in total. The remaining trees are coconut trees. We need to find the total number of trees (both mango and coconut) in the garden.

Step 1: Establishing the Equation

Let the total number of trees in the garden be ( x ).

Since 18% of the trees are mango trees, we can express this as:

0.18x 36

Step 2: Solving for ( x )

To find ( x ), we divide both sides of the equation by 0.18:

x frac{36}{0.18}

Calculating this gives us:

x 200

Therefore, the total number of trees in the garden is 200.

Step 3: Confirming the Solution

We can also verify this through another method. If 36 mango trees represent 18% of the total, then:

36 div 18 2

Multiplying 2 by 100 (the percentage for all trees) gives us:

2 times 100 200

This confirms that the total number of trees in the garden is 200.

Conclusion

The total number of trees in the garden is 200. This solution is derived from the given information and verified through simple arithmetic. Whether you're a homeowner looking to landscape your garden or a statistician working on a garden-related project, understanding how to solve such problems is crucial.

SEO Solutions and Recommendations

This article can be optimized with the following SEO techniques:

Keyword Integration: Use relevant keywords such as Trees in a Garden, Coconut Trees, Mango Trees throughout the content in headlines, subheadings, and throughout the text. Meta Tags: Ensure the tag includes the primary keywords to boost click-through rates. Internal Links: Link to other articles on similar gardening or statistics topics to enhance user engagement. Images and Graphics: Include high-quality images and diagrams to visually explain the problem and solution steps.

By optimizing the content and adhering to Google's best practices, this article increases its chances of ranking higher in search engine results pages (SERPs).