Two identical buckets K and L contained some water. Bucket K was ¹₆ filled and Bucket L was ¹₇ filled. The ratio of the total mass of Bucket K and the water in it to the total mass of Bucket L and the water in it was 9 : 8. The total mass of the two buckets and the water they contained was 3910 g. What is the mass of an empty bucket?
Mass of Bucket K and the water inside = 9 u
Mass of Bucket L and the water inside = 8 u

Total mass of the two buckets and the water inside them
= 9 u + 8 u
= 17 u

17 u = 3910

1 u = 3910 ÷ 17 = 230

Mass of Bucket K and the water in it more than mass of Bucket L and the water in it 
= 9 u - 8 u
= 1 u

Fraction of the water that Bucket K had more than Bucket L 
= ¹₆ - ¹₇
= ⁷₄₂ - ⁶₄₂
= ¹₄₂ 

¹₄₂ of the water capacity → 1 u
⁶₄₂ of the water capacity → 6 x 1 u = 6 u

Mass of an empty bucket
= 8 u - 6 u
= 2 u
= 2 x 230
= 460 g

Answer(s): 460 g