Solving a Milk and Water Solution Problem for SEO

When tackling mathematical problems involving mixtures of milk and water, such as determining the original solution quantity, it's essential to follow a systematic approach. This article will walk you through the process of solving a specific problem while also optimizing content for search engines like Google.

Understanding the Problem

A milk and water solution has 60% milk mixed with water to obtain a 50% milk solution. If 5 liters of water is poured into this mixture, what is the quantity of the original solution?

Problem Setup and Variables

Denote the quantity of the original solution by x liters.

Initial Composition

The original solution contains 60% milk and 40% water. The goal is to achieve a final mixture that is 50% milk.

Initial Quantities

The quantity of milk in the original solution is 0.6 liters. The quantity of water in the original solution is 0.4 liters.

Adding Water

When 5 liters of water is added, the new quantity of water becomes 0.4 5 liters. The total volume of the solution after adding 5 liters of water is x 5 liters.

Setting Up the Equation

After adding the water, we want the new solution to be 50% milk. Therefore, we can set up the following equation:

[$frac{0.6x}{x 5} 0.5$]

Solving the Equation

Cross-multiplying to solve for x:

[$0.6x 0.5(x 5)$
$0.6x 0.5x 2.5$
$0.6x - 0.5x 2.5$
$0.1x 2.5$
$x frac{2.5}{0.1} 25$

Conclusion

The quantity of the original solution is 25 liters.

SEO Optimization for Google

When creating content for search engines like Google, it is important to use the right keywords to improve the article's visibility. For this problem, the following keywords can be effectively used in the content to enhance SEO:

milk solution water mixture solution quantity

By incorporating these keywords naturally into your content, you can help ensure that your article ranks well in search engine results for relevant queries.