Multiple choice

Two glasses of equal volume are filled with a mixture of alcohol and water in the ratio 3 : 2 and 4 : 1, respectively. These glasses are emptied into a third glass. What is the ratio of alcohol and water in the third glass?

  1. 5 : 4

  2. 7 : 2

  3. 7 : 3

  4. 7 : 4

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In glass 1, alcohol = 3/5, water = 2/5. In glass 2, alcohol = 4/5, water = 1/5. Total alcohol = 3/5 + 4/5 = 7/5. Total water = 2/5 + 1/5 = 3/5. Ratio = 7:3.

AI explanation

Assume each glass has a capacity of 10 units for easy calculation. The first glass contributes 6 units of alcohol and 4 units of water, while the second glass contributes 8 units of alcohol and 2 units of water. Adding these together, the third glass will contain 14 units of alcohol and 6 units of water. The ratio of alcohol to water simplifies to 7 to 3.