Rael and Dylan have some brown pens and some green pens. The number of green pens Rael has is equal to the number of brown pens Dylan has. ¹₃ of Rael's pens are brown and ¹₆ of Dylan's pens are green. There are a total of 105 brown pens. Find the total number of pens they have.

Rael		Dylan		Total
Brown	Green	Brown	Green
	1x10	1x10
1x5	2x5	5x2	1x2
5 u	10 u	10 u	2 u	27 u

The number of Rael's green pens and Dylan's brown pens is the same.

The number of Rael's green pens is repeated. The number of Dylan's brown pens is repeated.  Make the number of Rael's green pens and Dylan's brown pens the same.  LCM of 2 and 3 is 10.

Number of brown pens
= 5 u + 10 u
= 15 u

15 u = 105

1 u = 105 ÷ 15 = 7

Total number of pens
= 5 u + 10 u + 10 u + 2 u
= 27 u
= 27 x 7
= 189

Answer(s): 189