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?

Question

A glass is initially filled entirely with milk. In each step, $\frac{2}{3}$ of the milk is replaced with water. This process is repeated 3 times. What is the final ratio of water to milk in the glass?

Answer 1

Use the weighted average of concentrations: $\dfrac{20\times 20 + 30\times 30}{50} = \dfrac{400 + 900}{50} = \dfrac{1300}{50} = 26\%$.

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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The Correct Option is A

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