Multiple choice

There are three containers of equal capacity The ratio of sulphuric acid to water in the first container is 3 : 2 that in the second container is 7 : 3 and in the third container it is 11 : 4 If all the liquids are mixed together then the ratio of sulphuric acid to water in the mixture will be

  1. 61 : 29

  2. 61 : 28

  3. 60 : 29

  4. 59 : 29
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total acid = 3/5 + 7/10 + 11/15 = (18 + 21 + 22) / 30 = 61/30. Total water = 2/5 + 3/10 + 4/15 = (12 + 9 + 8) / 30 = 29/30. The ratio is 61:29.

AI explanation

Assuming the equal capacity of each container is the least common multiple of the sum of their ratios, which is 60, the first container holds 36 units of acid and 24 of water. The second container holds 42 units of acid and 18 of water, while the third holds 44 units of acid and 16 of water. Adding these quantities gives a total of 122 units of acid and 58 units of water, which simplifies by dividing by 2 to a ratio of 61 to 29.

Keep practicing — related questions