Valen and George have some green notebooks and some purple notebooks. The number of purple notebooks Valen has is equal to the number of green notebooks George has. ¹₅ of Valen's notebooks are green and ¹₃ of George's notebooks are purple. There are a total of 50 green notebooks. Find the total number of notebooks they have.

Valen		George		Total
Green	Purple	Green	Purple
	1x4	1x4
1x1	4x1	2x2	1x2
1 u	4 u	4 u	2 u	11 u

The number of Valen's purple notebooks and George's green notebooks is the same.

The number of Valen's purple notebooks is repeated. The number of George's green notebooks is repeated.  Make the number of Valen's purple notebooks and George's green notebooks the same.  LCM of 4 and 5 is 4.

Number of green notebooks
= 1 u + 4 u
= 5 u

5 u = 50

1 u = 50 ÷ 5 = 10

Total number of notebooks
= 1 u + 4 u + 4 u + 2 u
= 11 u
= 11 x 10
= 110

Answer(s): 110