A mixture contains alcohol and water in the ratio 3:2. If there are 15 liters of alcohol, how many liters of water are there? - Parker Core Knowledge
How to Calculate Water in a 3:2 Alcohol-to-Water Mixture
How to Calculate Water in a 3:2 Alcohol-to-Water Mixture
When working with mixtures, understanding the proportions is key—especially when dealing with liquids like a solution containing alcohol and water. One common ratio you might encounter is alcohol to water in a 3:2 ratio. This means for every 3 parts of alcohol, there are 2 parts of water.
The Given Information
Suppose you have a total mixture containing 15 liters of alcohol, and the alcohol-to-water ratio is 3:2. Our goal is to find out how many liters of water are present.
Understanding the Context
Understanding the Ratio
The ratio 3:2 means:
- Alcohol represents 3 parts
- Water represents 2 parts
- Total parts = 3 + 2 = 5 parts
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Key Insights
Using Proportions to Solve
If 3 parts = 15 liters of alcohol, then:
1 part = 15 ÷ 3 = 5 liters
Since water is 2 parts:
Water = 2 × 5 = 10 liters
Summary
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In a mixture with alcohol and water in a 3:2 ratio:
- 15 liters of alcohol = 3 parts
- Each part = 5 liters
- Therefore, water = 2 × 5 = 10 liters
Conclusion
Understanding simple liquid ratios helps in cooking, chemistry, pharmaceuticals, and everyday household mixing. When you know the total alcohol and the ratio, calculating the corresponding water content is straightforward:
Water = (2/5) × Alcohol volume
For 15 liters of alcohol, you always get 10 liters of water in a 3:2 mixture.
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