Billy and Caden had 61 puffs altogether. After Billy ate ¹₄ of his puffs and Caden ate 4 puffs, the number of puffs Caden had left was five times the number of puffs Billy had left. How many more puffs did Caden have than Billy at first?

	Billy	Caden	Total
Before	4 u	15 u + 4	61
Change	- 1 u	- 4
After	3 u
Comparing Billy and Caden in the end	1x3 = 3 u	5x3 = 15 u

The number of puffs that Billy had in the end is the same. Make the number of puffs that Billy had in the end the same.  LCM of 3 and 1 is 3.

Total number of puffs at first
= 4 u + 15 u + 4
= 19 u + 4

19 u + 4 = 61
19 u = 61 - 4
19 u = 57 

1 u = 57 ÷ 19 = 3

Number of puffs that Billy had at first
= 4 u
= 4 x 3
= 12

Number of puffs that Caden had at first
= 61 - 12
= 49

Number of puffs that Caden had more than Billy at first
= 49 - 12
= 37

Answer(s): 37