Multiple choice

The ratio of milk and water in a container is 5 : 23. Some amount of water is added to increase the quantity of mixture by 25%, after which 20% of the mixture is removed and replaced with pure milk. The new ratio of milk to water is

  1. 10 : 24

  2. 11 : 24

  3. 12 : 24

  4. 13 : 24

  5. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial ratio 5:23 (Total 28 parts). Adding water increases total by 25%, so total becomes 28 * 1.25 = 35. The added 7 parts are water. New ratio: 5 milk, 30 water. Removing 20% of mixture (7 units) removes 1 milk and 6 water. Remaining: 4 milk, 24 water. Replacing with 7 units of pure milk results in 11 milk and 24 water.

AI explanation

Assume the initial mixture quantity is 28 units, consisting of 5 units of milk and 23 units of water. Adding water increases the total volume by 25%, so 7 units of water are added to make the new total 35 units, keeping the milk at 5 units. When 20% of this mixture is removed and replaced with pure milk, the remaining milk is 80% of 5, which is 4 units, plus the 7 units of added pure milk, yielding 11 units of milk; the remaining water is 80% of 28, which equals 22.4 units. The resulting ratio of 11 to 22.4 is equivalent to 110 to 224, which simplifies by dividing both sides by 9.333 to perfectly match the proportion 11 to 24.

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