Two identical buckets J and K contained some water. Bucket J was ¹₉ filled and Bucket K was ¹₁₀ filled. The ratio of the total mass of Bucket J and the water in it to the total mass of Bucket K and the water in it was 14 : 13. The total mass of the two buckets and the water they contained was 6210 g. What is the mass of an empty bucket?
Mass of Bucket J and the water inside = 14 u
Mass of Bucket K and the water inside = 13 u

Total mass of the two buckets and the water inside them
= 14 u + 13 u
= 27 u

27 u = 6210

1 u = 6210 ÷ 27 = 230

Mass of Bucket J and the water in it more than mass of Bucket K and the water in it 
= 14 u - 13 u
= 1 u

Fraction of the water that Bucket J had more than Bucket K 
= ¹₉ - ¹₁₀
= ¹⁰₉₀ - ⁹₉₀
= ¹₉₀ 

¹₉₀ of the water capacity → 1 u
⁹₉₀ of the water capacity → 9 x 1 u = 9 u

Mass of an empty bucket
= 13 u - 9 u
= 4 u
= 4 x 230
= 920 g

Answer(s): 920 g