Ryan and Bobby have some yellow files and some pink files. The number of pink files Ryan has is equal to the number of yellow files Bobby has. ¹₃ of Ryan's files are yellow and ³₄ of Bobby's files are pink. There are a total of 24 yellow files. Find the total number of files they have.

Ryan		Bobby		Total
Yellow	Pink	Yellow	Pink
	1x2	1x2
1x1	2x1	1x2	3x2
1 u	2 u	2 u	6 u	11 u

The number of Ryan's pink files and Bobby's yellow files is the same.

The number of Ryan's pink files is repeated. The number of Bobby's yellow files is repeated.  Make the number of Ryan's pink files and Bobby's yellow files the same.  LCM of 2 and 3 is 2.

Number of yellow files
= 1 u + 2 u
= 3 u

3 u = 24

1 u = 24 ÷ 3 = 8

Total number of files
= 1 u + 2 u + 2 u + 6 u
= 11 u
= 11 x 8
= 88

Answer(s): 88