Will and Brandon have some green files and some black files. The number of black files Will has is equal to the number of green files Brandon has. ¹₅ of Will's files are green and ¹₄ of Brandon's files are black. There are a total of 60 green files. Find the total number of files they have.

Will		Brandon		Total
Green	Black	Green	Black
	1x12	1x12
1x3	4x3	3x4	1x4
3 u	12 u	12 u	4 u	31 u

The number of Will's black files and Brandon's green files is the same.

The number of Will's black files is repeated. The number of Brandon's green files is repeated.  Make the number of Will's black files and Brandon's green files the same.  LCM of 4 and 5 is 12.

Number of green files
= 3 u + 12 u
= 15 u

15 u = 60

1 u = 60 ÷ 15 = 4

Total number of files
= 3 u + 12 u + 12 u + 4 u
= 31 u
= 31 x 4
= 124

Answer(s): 124