Fabian, Gabriel and Clayton collected buttons in the ratio of 9 : 6 : 7. After Clayton gave ³₅ to Fabian and Gabriel, Clayton had 505 less buttons than Fabian. The number of buttons that Gabriel had increased by 5%. How many buttons did Fabian and Clayton have in the end?

	Fabian	Gabriel	Clayton
Before	9 u	6 u	7 u
Change	+ 3.9 u	+ 0.3 u	- 4.2 u
After	12.9 u	6.3 u	2.8 u

Number of buttons that Clayton gave to Fabian and Gabriel
= ³₅ x 7 u
= 4.2 u

Number of buttons that Gabriel received from Clayton
= ⁵₁₀₀ x 6 u
= 0.3 u

Number of buttons that Fabian received from Clayton
= 4.2 u - 0.3 u
= 3.9 u

Number of less buttons that Clayton had less than Fabian
= 12.9 u - 2.8 u 
= 10.1 u

10.1 u = 505

1 u = 505 ÷ 10.1 = 50

Number of buttons that Fabian and Clayton had
= 12.9 u + 2.8 u
= 15.7 u
= 15.7 x 50
= 785

Answer(s): 785