Multiple choice

A barrel contains 60 liters of alcohol and water. The quantity of alcohol is 12 liters more than water. Some amount of water is added to the barrel such that the ratio of alcohol to water becomes 18 : 17. Quantity A Amount of water added to the barrel Quantity B 8 liters

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be established from the information given.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A+W = 60, A-W = 12. 2A = 72, A = 36, W = 24. Adding x water: 36 / (24+x) = 18/17. 36*17 = 18*(24+x). 2*17 = 24+x. 34 = 24+x. x = 10. Quantity A (10) > Quantity B (8).

AI explanation

Let the quantity of water be x liters, so the alcohol is x plus 12 liters, making the total 2x plus 12 equal to 60. Solving this equation gives x equals 24, meaning there are 24 liters of water and 36 liters of alcohol. The new required ratio of alcohol to water is 18 to 17, so the new water quantity is calculated as 36 multiplied by 17 and divided by 18, resulting in 34 liters. Since the barrel initially had 24 liters of water, the amount of water added is 34 minus 24, yielding 10 liters, which is greater than 8 liters.

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