Multiple choice

In a mixture of alcohol and water, there was 73% water. If the quantity of alcohol in the mixture was 108 litres and 42 litres of water was added to the mixture, then find the ratio of alcohol to water in the mixture.

  1. 167 : 54

  2. 163 : 52

  3. 52 : 163

  4. 54 : 167

  5. 5 : 67
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D Correct answer
Explanation

Initial mixture: 73% water, 27% alcohol. Alcohol = 108L. 0.27 * Total = 108 => Total = 400L. Water = 400 - 108 = 292L. Add 42L water: New water = 292 + 42 = 334L. Ratio Alcohol:Water = 108 : 334 = 54 : 167.

AI explanation

Since the mixture contains 73% water, the alcohol accounts for 27% of the total volume. With 108 litres representing 27%, the total initial volume is 108 divided by 0.27, which equals 400 litres, meaning there were initially 292 litres of water. After adding 42 litres of water, the new volume of water is 334 litres, making the ratio of alcohol to water 108 to 334, which simplifies by dividing both sides by 2 to 54 to 167.

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