Multiple choice

A barrel contains 60 litres of alcohol and water. The quantity of alcohol is 12 litres more than water. Some amount of water is added to this barrel such that the ratio of alcohol to water becomes 18 : 17. How much water is added to barrel?

  1. 12 litres

  2. 13 litres

  3. 10 litres

  4. 8 litres

  5. 9 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: A+W=60, A-W=12. Solving gives A=36, W=24. Let x be water added: 36 / (24+x) = 18/17. 36*17 = 18(24+x). 2*17 = 24+x. 34 = 24+x, so x=10.

AI explanation

Given the total mixture is 60 litres and the alcohol is 12 litres more than the water, we set up two equations: A + W = 60 and A - W = 12. Solving these shows the initial amount of alcohol is 36 litres and the initial amount of water is 24 litres. After adding x litres of water, the ratio of alcohol to water becomes 36 to (24 + x), which is given as 18 to 17. Solving the proportion 36 / (24 + x) = 18 / 17 yields 24 + x = 34, meaning 10 litres of water were added.

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