Multiple choice

A cistern contains 100 liters of water. 10 liters of water is taken out of it and replaced by the same quantity of soda. This process is repeated one more time. After those 20 liters of the solution is replaced by the same quantity of whiskey. Find the proportion of soda, water, and whiskey in the final mixture?

  1. 19: 71: 25

  2. 38: 72: 50

  3. 19: 81: 25

  4. 38: 81: 50

  5. 29: 71: 25
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: 100W. Step 1: 90W, 10S. Step 2: 90 * 0.9 = 81W, 10 + 9 = 19S. Step 3: 20L of solution removed. Amount of water removed = 20 * (81/100) = 16.2. Amount of soda removed = 20 * (19/100) = 3.8. Remaining: Water = 81 - 16.2 = 64.8, Soda = 19 - 3.8 = 15.2, Whiskey = 20. Ratio 15.2 : 64.8 : 20 = 152 : 648 : 200 = 19 : 81 : 25.

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