Henry and Ahmad have some purple pens and some green pens. The number of green pens Henry has is equal to the number of purple pens Ahmad has. ²₃ of Henry's pens are purple and ¹₆ of Ahmad's pens are green. There are a total of 60 purple pens. Find the total number of pens they have.

Henry		Ahmad		Total
Purple	Green	Purple	Green
	1x5	1x5
2x5	1x5	5x1	1x1
10 u	5 u	5 u	1 u	21 u

The number of Henry's green pens and Ahmad's purple pens is the same.

The number of Henry's green pens is repeated. The number of Ahmad's purple pens is repeated.  Make the number of Henry's green pens and Ahmad's purple pens the same.  LCM of 1 and 3 is 5.

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

15 u = 60

1 u = 60 ÷ 15 = 4

Total number of pens
= 10 u + 5 u + 5 u + 1 u
= 21 u
= 21 x 4
= 84

Answer(s): 84