A total of 132 white folders and red folders are in a container. The ratio of white folders to red folders was 3 : 8. Some purple folders and brown folders were put into the container. For every 6 red folders that were already in the container, 5 brown ones were added. Then, the final number of white folders and purple folders was ³₄ the final number of red folders and brown folders. Find the total number of purple and brown folders.

Purple folders	White folders	Red folders	Brown folders
	3x3	8x3
		6x4	5x4
3x11		4x11
24 u	9 u	24 u	20 u

The number of red folders is repeated.  Make the number of red folders the same.  LCM of 8 and 6 is 24.

The total number of red folders and brown folders is repeated.  Make the total number of red and brown folders the same.  LCM of 44 and 4 is 44.

Total number of white folders and red folders
= 9 u + 24 u
= 33 u

33 u = 132

1 u = 132 ÷ 33 = 4

Total number of purple and brown folders
= 24 u + 20 u
= 44 u
= 44 x 4
= 176

Answer(s): 176