Justin had an equal number of chocolate puffs, vanila puffs and butter puffs. After he ate 55 chocolate puffs, some vanila puffs and butter puffs, there were 60 puffs left. The number of vanila puffs he ate was four times the number of butter puffs he ate. The number of vanila puffs left was 11 more than the number of chocolate puffs left. How many chocolate puffs were there at first?

	Chocolate puffs	Vanila puffs	Butter puffs	Total puffs
Before	1 p + 55	1 p + 4 u + 11	1 p + 4 u + 11
Change	- 55	- 4 u	- 1 u
After	1 p	1 p + 11	1 p + 11 + 1 u	60

Number of vanila puffs and chocolate puffs was equal at first.

1 p + 4 u + 11 = 1 p + 55
4 u = 55 - 11
4 u = 44

1 u = 44 ÷ 4 = 11

Total number of puffs in the end
= 1 p + 1 p + 11 + 1 p + 11 + 11
= 1 p + 1 p + 1 p + 11 + 11 + 11
= 3 p + 33

3 p + 33 = 60
3 p = 60 - 33
3 p = 27

1 p = 27 ÷ 3 = 9

Number of chocolate puffs at first
= 1 p + 55
= 9 + 55
= 64

Answer(s): 64