A mixture contains 20% alcohol and the rest water. If 10 liters of water are added to 30 liters of this mixture, what is the new percentage of alcohol?
["Title: How Adding Water to a 20% Alcohol Mixture Changes Its Alcohol Percentage – A Step-by-Step Calculation", "When dealing with mixtures containing alcohol and water, understanding how dilution affects the final composition is essential. This article explores a practical example: a mixture with 20% alcohol and 80% water, originally totaling 30 liters. We’ll calculate the new percentage of alcohol after adding 10 liters of water.", "---", "### The Original Mixture", "Let’s first analyze the original 30-liter mixture:", "- Total volume = 30 liters\n- Alcohol content = 20% of 30 liters = ( 0.20 \ imes 30 = 6 ) liters\n- Water content = 80% of 30 liters = ( 0.80 \ imes 30 = 24 ) liters", "---", "### Adding 10 Liters of Water", "Now, we add 10 liters of pure water to the mixture:", "- New water content = Original water + added water = ( 24 + 10 = 34 ) liters\n- Alcohol remains unchanged = 6 liters\n- New total volume = Original mixture + added water = ( 30 + 10 = 40 ) liters", "---", "### Calculating the New Alcohol Percentage", "To find the new percentage of alcohol in the mixture:", "[\n\ ext{New alcohol percentage} = \left( \frac{\ ext{Alcohol volume}}{\ ext{New total volume}} \right) \ imes 100 = \left( \frac{6}{40} \right) \ imes 100 = 15%\n]", "---", "### Conclusion", "By diluting a 20% alcohol mixture with 20% alcohol by adding 10 liters of water, the alcohol concentration decreases from 20% to 15%, while the total volume increases from 30 liters to 40 liters. This example illustrates how simple dilution directly impacts concentration without changing the total alcohol content.", "---", "Key Takeaways:", "- Water addition reduces alcohol percentage even when alcohol volume stays constant.\n- This principle applies to drink mixes, chemical solutions, and other homogeneous mixtures.\n- Understanding the ratio helps in quality control, recipe formulation, and health considerations around beverage strength.", "For more data-driven chemistry and physics calculations, stay tuned — mixing accuracy matters!", "---", "See Also:\n- How dilution affects concentration in liquid mixtures\n- Alcohol percentage calculation in mixed drinks\n- Water dilution and concentration formulas"]
