Multiple choice

$37.85\%$ and $92\%$ alcoholic solutions are mixed to get $35$ liters of an $89\%$ alcoholic solution. How many liters of each solution are there in the new mixture?

  1. $10$ L of the $1^{st}$, $25$ L of the $2^{nd}$
  2. $20$ L of the $1^{st}$, $15$ L of the $2^{nd}$
  3. $15$ L of the $1^{st}$, $20$ L of the $2^{nd}$

  4. None
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D Correct answer
AI explanation

Using the method of Alligation, the ratio of the first solution to the second is (92 - 89) to (89 - 37.85), which is 3 to 51.1. For a total mixture of 35 liters, the required volume of the first solution is 35 multiplied by (3 divided by 54.1), resulting in approximately 1.94 liters. Because this calculated value does not match any of the provided combinations, the correct result is none.

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