A total of 44 white folders and blue folders are in a container. The ratio of white folders to blue folders was 3 : 8. Some grey folders and green folders were put into the container. For every 4 blue folders that were already in the container, 11 green ones were added. Then, the final number of white folders and grey folders was ¹₆ the final number of blue folders and green folders. Find the total number of grey and green folders.

Grey folders	White folders	Blue folders	Green folders
	3x1	8x1
		4x2	11x2
1x5		6x5
2 u	3 u	8 u	22 u

The number of blue folders is repeated.  Make the number of blue folders the same.  LCM of 8 and 4 is 8.

The total number of blue folders and green folders is repeated.  Make the total number of blue and green folders the same.  LCM of 30 and 6 is 30.

Total number of white folders and blue folders
= 3 u + 8 u
= 11 u

11 u = 44

1 u = 44 ÷ 11 = 4

Total number of grey and green folders
= 2 u + 22 u
= 24 u
= 24 x 4
= 96

Answer(s): 96