Tommy and Jenson have some blue files and some grey files. The number of grey files Tommy has is equal to the number of blue files Jenson has. ³₄ of Tommy's files are blue and ¹₄ of Jenson's files are grey. There are a total of 72 blue files. Find the total number of files they have.

Tommy		Jenson		Total
Blue	Grey	Blue	Grey
	1x3	1x3
3x3	1x3	3x1	1x1
9 u	3 u	3 u	1 u	16 u

The number of Tommy's grey files and Jenson's blue files is the same.

The number of Tommy's grey files is repeated. The number of Jenson's blue files is repeated.  Make the number of Tommy's grey files and Jenson's blue files the same.  LCM of 1 and 4 is 3.

Number of blue files
= 9 u + 3 u
= 12 u

12 u = 72

1 u = 72 ÷ 12 = 6

Total number of files
= 9 u + 3 u + 3 u + 1 u
= 16 u
= 16 x 6
= 96

Answer(s): 96