Cody and Wesley have some purple pencils and some silver pencils. The number of silver pencils Cody has is equal to the number of purple pencils Wesley has. ¹₅ of Cody's pencils are purple and ¹₆ of Wesley's pencils are silver. There are a total of 300 purple pencils. Find the total number of pencils they have.

Cody		Wesley		Total
Purple	Silver	Purple	Silver
	1x20	1x20
1x5	4x5	5x4	1x4
5 u	20 u	20 u	4 u	49 u

The number of Cody's silver pencils and Wesley's purple pencils is the same.

The number of Cody's silver pencils is repeated. The number of Wesley's purple pencils is repeated.  Make the number of Cody's silver pencils and Wesley's purple pencils the same.  LCM of 4 and 5 is 20.

Number of purple pencils
= 5 u + 20 u
= 25 u

25 u = 300

1 u = 300 ÷ 25 = 12

Total number of pencils
= 5 u + 20 u + 20 u + 4 u
= 49 u
= 49 x 12
= 588

Answer(s): 588