Multiple choice

Choose the correct answer from the alternatives given. In a mixture 45 L. the ratio of milk and water is 3: 2. How much water must be added to make the ratio 9: 11?

  1. 10 L

  2. 15 L

  3. 17 L

  4. 20 L
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total 45L, ratio 3:2. Milk = 27L, Water = 18L. Let x be water added. (27) / (18 + x) = 9/11. 27 * 11 = 9 * (18 + x). 3 * 11 = 18 + x. 33 = 18 + x. x = 15.

AI explanation

In the 45 litre mixture with a ratio of 3 to 2, the volume of milk is 3/5 of 45, or 27 litres, and the volume of water is 18 litres. Let x be the amount of water added to achieve a 9 to 11 ratio. The equation becomes 27 divided by the quantity 18 plus x equals 9 divided by 11. Solving this gives 297 equals 162 plus 9x, so 9x equals 135 and x is 15 litres.

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