Michael and Jeremy had 60 puffs altogether. After Michael ate ¹₃ of his puffs and Jeremy ate 5 puffs, the number of puffs Jeremy had left was four times the number of puffs Michael had left. How many more puffs did Jeremy have than Michael at first?

	Michael	Jeremy	Total
Before	3 u	8 u + 5	60
Change	- 1 u	- 5
After	2 u
Comparing Michael and Jeremy in the end	1x2 = 2 u	4x2 = 8 u

The number of puffs that Michael had in the end is the same. Make the number of puffs that Michael had in the end the same.  LCM of 2 and 1 is 2.

Total number of puffs at first
= 3 u + 8 u + 5
= 11 u + 5

11 u + 5 = 60
11 u = 60 - 5
11 u = 55 

1 u = 55 ÷ 11 = 5

Number of puffs that Michael had at first
= 3 u
= 3 x 5
= 15

Number of puffs that Jeremy had at first
= 60 - 15
= 45

Number of puffs that Jeremy had more than Michael at first
= 45 - 15
= 30

Answer(s): 30