A total of 110 blue folders and red folders are in a container. The ratio of blue folders to red folders was 2 : 9. Some green folders and yellow folders were put into the container. For every 6 red folders that were already in the container, 14 yellow ones were added. Then, the final number of blue folders and green folders was ¹₅ the final number of red folders and yellow folders. Find the total number of green and yellow folders.

Green folders	Blue folders	Red folders	Yellow folders
	2x2	9x2
		6x3	14x3
1x12		5x12
8 u	4 u	18 u	42 u

The number of red folders is repeated.  Make the number of red folders the same.  LCM of 9 and 6 is 18.

The total number of red folders and yellow folders is repeated.  Make the total number of red and yellow folders the same.  LCM of 60 and 5 is 60.

Total number of blue folders and red folders
= 4 u + 18 u
= 22 u

22 u = 110

1 u = 110 ÷ 22 = 5

Total number of green and yellow folders
= 8 u + 42 u
= 50 u
= 50 x 5
= 250

Answer(s): 250