Two identical tanks T and U contained some water. Tank T was ¹₄ filled and Tank U was ¹₅ filled. The ratio of the total mass of Tank T and the water in it to the total mass of Tank U and the water in it was 8 : 7. The total mass of the two tanks and the water they contained was 2550 g. What is the mass of an empty tank?
Mass of Tank T and the water inside = 8 u
Mass of Tank U and the water inside = 7 u

Total mass of the two tanks and the water inside them
= 8 u + 7 u
= 15 u

15 u = 2550

1 u = 2550 ÷ 15 = 170

Mass of Tank T and the water in it more than mass of Tank U and the water in it 
= 8 u - 7 u
= 1 u

Fraction of the water that Tank T had more than Tank U 
= ¹₄ - ¹₅
= ⁵₂₀ - ⁴₂₀
= ¹₂₀ 

¹₂₀ of the water capacity → 1 u
⁴₂₀ of the water capacity → 4 x 1 u = 4 u

Mass of an empty tank
= 7 u - 4 u
= 3 u
= 3 x 170
= 510 g

Answer(s): 510 g