Japheth, Elijah and Charlie collected marbles in the ratio of 11 : 8 : 8. After Charlie gave ¹₄ to Japheth and Elijah, Charlie had 124 less marbles than Japheth. The number of marbles that Elijah had increased by 10%. How many marbles did Japheth and Charlie have in the end?

	Japheth	Elijah	Charlie
Before	11 u	8 u	8 u
Change	+ 1.2 u	+ 0.8 u	- 2 u
After	12.2 u	8.8 u	6 u

Number of marbles that Charlie gave to Japheth and Elijah
= ¹₄ x 8 u
= 2 u

Number of marbles that Elijah received from Charlie
= ¹⁰₁₀₀ x 8 u
= 0.8 u

Number of marbles that Japheth received from Charlie
= 2 u - 0.8 u
= 1.2 u

Number of less marbles that Charlie had less than Japheth
= 12.2 u - 6 u 
= 6.2 u

6.2 u = 124

1 u = 124 ÷ 6.2 = 20

Number of marbles that Japheth and Charlie had
= 12.2 u + 6 u
= 18.2 u
= 18.2 x 20
= 364

Answer(s): 364