A tank contains 100 liters of a 15% salt solution. How many liters of pure water must be added to dilute it to a 10% salt solution?
["Title: How to Dilute a 15% Salt Solution to 10%: A Simple Step-by-Step Guide", "Meta Description:\nLearn how to dilute a 100-liter 15% salt solution to a 10% concentration by adding pure water. Get the exact liters of water needed using basic dilution math.", "---", "### Introduction\nWhen working with salt solutions, understanding dilution is essential—especially in industries like water treatment, agriculture, and cooking. One common problem is: How much pure water should be added to a 100-liter 15% salt solution to reduce its concentration to 10%? This article walks you through the solution using straightforward calculations so you can confidently adjust your salt concentration.", "---", "### Problem Restated\nYou have a 100-liter solution with a 15% salt concentration. You want to dilute it—by adding pure water—until the solution becomes a 10% salt solution. How many liters of water must be added?", "---", "### Step-by-Step Explanation", "Step 1: Calculate the amount of salt in the original solution\nThe amount of salt remains constant during dilution. Use:", "[\n\ ext{Salt mass} = \ ext{Volume} \ imes \ ext{Concentration}\n]", "[\n\ ext{Salt mass} = 100\ \ ext{liters} \ imes 15% = 100 \ imes 0.15 = 15\ \ ext{liters of salt}\n]", "Step 2: Let ( x ) = liters of pure water to add\nAfter adding ( x ) liters of water, the total volume becomes:", "[\n100 + x\ \ ext{liters}\n]", "The salt amount remains 15 liters, but now its concentration is 10%, so:", "[\n\frac{15}{100 + x} = 10%\n]", "[\n\frac{15}{100 + x} = 0.10\n]", "Step 3: Solve for ( x )\nMultiply both sides by ( (100 + x) ):", "[\n15 = 0.10(100 + x)\n]", "Divide both sides by 0.10:", "[\n150 = 100 + x\n]", "Subtract 100 from both sides:", "[\nx = 50\n]", "---", "### Conclusion\nTo dilute a 100-liter 15% salt solution to a 10% salt solution, you must add 50 liters of pure water. This careful addition ensures the salt concentration drops safely without altering the total salt content.", "---", "### Bonus: Why This Works\nDilution reduces concentration without losing salt—proof that salt mass stays constant while volume increases. This principle applies across chemistry and real-world scenarios.", "---", "### Key Search Terms (SEO Optimization)\n- How to dilute salt solution\n- How much water to add to 15% salt solution\n- Salt concentration dilution equation\n- 100 liters 15% salt to 10% dilution\n- Step-by-step salt solution dilution", "---", "Keywords: tank, salt solution, dilution, 100 liters, 15% salt, 10% salt solution, how much water to add, salt concentration, water treatment, concentration calculations", "---", "Ready to try it yourself? Use simple math—just add 50 liters of pure water to your 100-liter 15% salt solution to achieve a 10% concentration!"]
