Multiple choice

A mixture contains wine and water in the ratio 5 : 2. If 9 litres of water is added, the ratio becomes 1 : 1. Find the final quantity of wine in the mixture.

  1. 15 L

  2. 12 L

  3. 14 L

  4. 12.5 L

  5. 11.5 L
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A Correct answer
Explanation

Initial: Wine = 5x, Water = 2x. Add 9L water: 5x / (2x + 9) = 1/1. 5x = 2x + 9 => 3x = 9 => x = 3. Wine = 5 * 3 = 15 L.

AI explanation

Let the initial quantities of wine and water be 5x and 2x. When 9 litres of water is added, the new quantity of water becomes 2x + 9, making the ratio of wine to water 1:1. Setting the quantities equal gives 5x = 2x + 9, so 3x = 9 and x = 3. The final quantity of wine is 5x, which is 15 litres.

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