Fabian, Valen and Christopher collected beads in the ratio of 10 : 9 : 10. After Christopher gave ³₅ to Fabian and Valen, Christopher had 330 less beads than Fabian. The number of beads that Valen had increased by 60%. How many beads did Fabian and Christopher have in the end?

	Fabian	Valen	Christopher
Before	10 u	9 u	10 u
Change	+ 0.6 u	+ 5.4 u	- 6 u
After	10.6 u	14.4 u	4 u

Number of beads that Christopher gave to Fabian and Valen
= ³₅ x 10 u
= 6 u

Number of beads that Valen received from Christopher
= ⁶⁰₁₀₀ x 9 u
= 5.4 u

Number of beads that Fabian received from Christopher
= 6 u - 5.4 u
= 0.6 u

Number of less beads that Christopher had less than Fabian
= 10.6 u - 4 u 
= 6.6 u

6.6 u = 330

1 u = 330 ÷ 6.6 = 50

Number of beads that Fabian and Christopher had
= 10.6 u + 4 u
= 14.6 u
= 14.6 x 50
= 730

Answer(s): 730