Two litres of mixture of alcohol and water contains 10% water. This is added…
2024
Two litres of mixture of alcohol and water contains 10% water. This is added to 4 litres of another mixture containing 8% water and half a litre of water is then added to the whole. Find the percentage of water in the resulting mixture.
- A.
29.58%
- B.
15.69%
- C.
15.79%
- D.
12%
Attempted by 9 students.
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Correct answer: B
Answer: 15.69%
Water in the first mixture: 10% of 2 L = 0.10 × 2 = 0.2 L.
Water in the second mixture: 8% of 4 L = 0.08 × 4 = 0.32 L.
Additional water added: 0.5 L.
Total water = 0.2 + 0.32 + 0.5 = 1.02 L.
Total volume = 2 + 4 + 0.5 = 6.5 L.
Percentage of water = (1.02 ÷ 6.5) × 100 = 15.6923...% ≈ 15.69%.