Cody and Fabian have some yellow pens and some purple pens. The number of purple pens Cody has is equal to the number of yellow pens Fabian has. ¹₅ of Cody's pens are yellow and ⁵₆ of Fabian's pens are purple. There are a total of 45 yellow pens. Find the total number of pens they have.

Cody		Fabian		Total
Yellow	Purple	Yellow	Purple
	1x4	1x4
1x1	4x1	1x4	5x4
1 u	4 u	4 u	20 u	29 u

The number of Cody's purple pens and Fabian's yellow pens is the same.

The number of Cody's purple pens is repeated. The number of Fabian's yellow pens is repeated.  Make the number of Cody's purple pens and Fabian's yellow pens the same.  LCM of 4 and 5 is 4.

Number of yellow pens
= 1 u + 4 u
= 5 u

5 u = 45

1 u = 45 ÷ 5 = 9

Total number of pens
= 1 u + 4 u + 4 u + 20 u
= 29 u
= 29 x 9
= 261

Answer(s): 261