Multiple choice

What will be the ratio of honey and water in the final solution formed by mixing honey and water that are present in three vessels of equal capacity in the ratios 4:1, 5:2 and 6:1 respectively?

  1. 166 : 22

  2. 83 : 22

  3. 83 : 44

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Vessels have equal capacity. Total honey = 4/5 + 5/7 + 6/7 = 28/35 + 25/35 + 30/35 = 83/35. Total water = 1/5 + 2/7 + 1/7 = 7/35 + 10/35 + 5/35 = 22/35. Ratio = 83:22.

AI explanation

Assuming the equal capacity of each vessel is the least common multiple of the total parts (5, 7, and 7), we use 35 liters for each. The honey quantities are 4/5 of 35 (28 liters), 5/7 of 35 (25 liters), and 6/7 of 35 (30 liters), adding up to 83 liters of honey. Since the total mixture is 105 liters, the water is 105 minus 83, which is 22 liters, making the final ratio 83 : 22.

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