There were white, silver and green marbles in a bottle. Sean put another 4 white marbles and 5 green marbles in the bottle, then the ratio of the number of silver marbles to the number of green marbles became 5 : 3. Then, he doubled the number of white marbles and removed 19 green marbles. The ratio of the number of white marbles to silver marbles became 2 : 1. He counted and found that there were a total of 125 marbles left in the bottle. Find the number of white marbles that he had in the end.

	White marbles	Silver marbles	Green marbles	Total
Before	5 u - 4	5 u	3 u - 5
Change 1	+ 4		+ 5
After 1	1x5 = 5 u	5 u	3 u
Change 2	+ 1x5 = 5 u		- 19
After 2	2x5 = 10 u	1x5 = 5 u	3 u - 19	125

The number of silver marbles remains unchanged. Make the number of silver marbles the same. LCM of 1 and 5 is 5.

Total number of marbles in the end
= 10 u + 5 u + 3 u - 19
= 18 u - 19

18 u - 19 = 125
18 u = 125 + 19
18 u = 144

1 u = 144 ÷ 18 = 8

Number of white marbles in the end
= 10 u 
= 10 x 8
= 80

Answer(s): 80