There were green, brown and grey marbles in a container. Sean put another 2 green marbles and 4 grey marbles in the container, then the ratio of the number of brown marbles to the number of grey marbles became 5 : 2. Then, he doubled the number of green marbles and removed 22 grey marbles. The ratio of the number of green marbles to brown marbles became 2 : 1. He counted and found that there were a total of 97 marbles left in the container. Find the number of green marbles that he had in the end.

	Green marbles	Brown marbles	Grey marbles	Total
Before	5 u - 2	5 u	2 u - 4
Change 1	+ 2		+ 4
After 1	1x5 = 5 u	5 u	2 u
Change 2	+ 1x5 = 5 u		- 22
After 2	2x5 = 10 u	1x5 = 5 u	2 u - 22	97

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

Total number of marbles in the end
= 10 u + 5 u + 2 u - 22
= 17 u - 22

17 u - 22 = 97
17 u = 97 + 22
17 u = 119

1 u = 119 ÷ 17 = 7

Number of green marbles in the end
= 10 u 
= 10 x 7
= 70

Answer(s): 70