Nick and Japheth have some pink files and some yellow files. The number of yellow files Nick has is equal to the number of pink files Japheth has. ¹₃ of Nick's files are pink and ⁵₆ of Japheth's files are yellow. There are a total of 9 pink files. Find the total number of files they have.

Nick		Japheth		Total
Pink	Yellow	Pink	Yellow
	1x2	1x2
1x1	2x1	1x2	5x2
1 u	2 u	2 u	10 u	15 u

The number of Nick's yellow files and Japheth's pink files is the same.

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

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

3 u = 9

1 u = 9 ÷ 3 = 3

Total number of files
= 1 u + 2 u + 2 u + 10 u
= 15 u
= 15 x 3
= 45

Answer(s): 45