Question:
20 litres of a 20% alcohol solution is mixed with 30 litres of a 30% alcohol solution. What is the alcohol concentration of the final mixture?
20 litres of a 20% alcohol solution is mixed with 30 litres of a 30% alcohol solution. What is the alcohol concentration of the final mixture?
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Add up the pure alcohol, then divide by total volume.
Updated On: Jul 8, 2026
- 26%
- 25%
- 24%
- 28%
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The Correct Option is A
Solution and Explanation
Step 1: Compute alcohol from each part.
From first: \(20\% \times 20 = 4\) L. From second: \(30\% \times 30 = 9\) L.
Step 2: Totals.
Total alcohol \(= 4 + 9 = 13\) L; total volume \(= 20 + 30 = 50\) L.
Step 3: Concentration.
\[\dfrac{13}{50}\times 100 = \boxed{26\%}\]
From first: \(20\% \times 20 = 4\) L. From second: \(30\% \times 30 = 9\) L.
Step 2: Totals.
Total alcohol \(= 4 + 9 = 13\) L; total volume \(= 20 + 30 = 50\) L.
Step 3: Concentration.
\[\dfrac{13}{50}\times 100 = \boxed{26\%}\]
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