A total of 32 black files and silver files are in a container. The ratio of black files to silver files was 1 : 3. Some green files and blue files were put into the container. For every 6 silver files that were already in the container, 12 blue ones were added. Then, the final number of black files and green files was ²₃ the final number of silver files and blue files. Find the total number of green and blue files.

Green files	Black files	Silver files	Blue files
	1x2	3x2
		6x1	12x1
2x6		3x6
10 u	2 u	6 u	12 u

The number of silver files is repeated.  Make the number of silver files the same.  LCM of 3 and 6 is 6.

The total number of silver files and blue files is repeated.  Make the total number of silver and blue files the same.  LCM of 18 and 3 is 18.

Total number of black files and silver files
= 2 u + 6 u
= 8 u

8 u = 32

1 u = 32 ÷ 8 = 4

Total number of green and blue files
= 10 u + 12 u
= 22 u
= 22 x 4
= 88

Answer(s): 88