Multiple choice

In a 68 litre mixture of spirit and water, the ratio of water to spirit is 11 : 6. To make this ratio 4 : 3, how much amount of spirit should be added?

  1. 9

  2. 10

  3. 11

  4. 12
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A Correct answer
Explanation

Initial mixture is 68 litres with ratio 11:6 (water:spirit). Water = (11/17)*68 = 44, Spirit = (6/17)*68 = 24. We want a new ratio 4:3 by adding x amount of spirit. 44 / (24+x) = 4/3. 132 = 96 + 4x. 36 = 4x, so x = 9.

AI explanation

In a 68 litre mixture with a water to spirit ratio of 11 to 6, the initial spirit is (6/17) times 68, which is 24 litres, and the water is 44 litres. Let the added spirit be x, making the new ratio 44 divided by (24 plus x) equal 4 divided by 3. Solving 132 equals 96 plus 4x gives 4x equals 36, so x equals 9. The amount of spirit to add is 9.

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