Simon, George and Cyrus collected marbles in the ratio of 11 : 5 : 4. After Cyrus gave ⁴₅ to Simon and George, Cyrus had 357 less marbles than Simon. The number of marbles that George had increased by 30%. How many marbles did Simon and Cyrus have in the end?

	Simon	George	Cyrus
Before	11 u	5 u	4 u
Change	+ 1.7 u	+ 1.5 u	- 3.2 u
After	12.7 u	6.5 u	0.8 u

Number of marbles that Cyrus gave to Simon and George
= ⁴₅ x 4 u
= 3.2 u

Number of marbles that George received from Cyrus
= ³⁰₁₀₀ x 5 u
= 1.5 u

Number of marbles that Simon received from Cyrus
= 3.2 u - 1.5 u
= 1.7 u

Number of less marbles that Cyrus had less than Simon
= 12.7 u - 0.8 u 
= 11.9 u

11.9 u = 357

1 u = 357 ÷ 11.9 = 30

Number of marbles that Simon and Cyrus had
= 12.7 u + 0.8 u
= 13.5 u
= 13.5 x 30
= 405

Answer(s): 405