Multiple choice

A milk can contain $112$ litre of milk. How many liters of milk should be removed and same amount if water if added, the proportion of milk to water comes to be $13:3 ?$

  1. $\dfrac{336}{16}$
  2. $\dfrac{158}{13}$
  3. $\dfrac{178}{16}$
  4. $\dfrac{138}{13}$
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A Correct answer
Explanation

Let x be the amount removed. The final milk amount is 112 - x + (x * 0) = 112 - x. The final water amount is x. The ratio (112-x)/x = 13/3. 336 - 3x = 13x, so 16x = 336, x = 336/16 = 21.

AI explanation

Let x liters of milk be replaced by water, leaving the amount of milk as 112 minus x and the amount of water as x. According to the given condition, the ratio of milk to water becomes 13 to 3, so we set up the equation (112 minus x) divided by x equals 13 divided by 3. Solving for x gives 336 minus 3x equals 13x, which simplifies to 16x equals 336 and yields x equals 336 divided by 16.

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