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Home » However, check fractional optimization using slope method: - Carbonext

However, check fractional optimization using slope method: - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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A solution is made by mixing 20% alcohol with 80% alcohol to get 5 lit...
Let x = liters of 20% alcohol.
Then (5 - x) = liters of 80% alcohol.
Equation: 0.2x + 0.8(5 - x) = 0.5 * 5
Simplify: 0.2x + 4 - 0.8x = 2.5
Combine like terms: -0.6x = -1.5
Solve for x: x = 2.5
Amount of 80% alcohol = 5 - 2.5 = 2.5
2.5 liters of 20% and 2.5 liters of 80%
#### 2.5 liters of each

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