Elijah and Jeremy have some brown pencils and some green pencils. The number of green pencils Elijah has is equal to the number of brown pencils Jeremy has. ¹₅ of Elijah's pencils are brown and ¹₆ of Jeremy's pencils are green. There are a total of 150 brown pencils. Find the total number of pencils they have.

Elijah		Jeremy		Total
Brown	Green	Brown	Green
	1x20	1x20
1x5	4x5	5x4	1x4
5 u	20 u	20 u	4 u	49 u

The number of Elijah's green pencils and Jeremy's brown pencils is the same.

The number of Elijah's green pencils is repeated. The number of Jeremy's brown pencils is repeated.  Make the number of Elijah's green pencils and Jeremy's brown pencils the same.  LCM of 4 and 5 is 20.

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

25 u = 150

1 u = 150 ÷ 25 = 6

Total number of pencils
= 5 u + 20 u + 20 u + 4 u
= 49 u
= 49 x 6
= 294

Answer(s): 294