Vincent had an equal number of chocolate wafers, blueberry wafers and butter wafers. After he ate 29 chocolate wafers, some blueberry wafers and butter wafers, there were 66 wafers left. The number of blueberry wafers he ate was thrice the number of butter wafers he ate. The number of blueberry wafers left was 23 more than the number of chocolate wafers left. How many chocolate wafers were there at first?

	Chocolate wafers	Blueberry wafers	Butter wafers	Total wafers
Before	1 p + 29	1 p + 3 u + 23	1 p + 3 u + 23
Change	- 29	- 3 u	- 1 u
After	1 p	1 p + 23	1 p + 23 + 1 u	66

Number of blueberry wafers and chocolate wafers was equal at first.

1 p + 3 u + 23 = 1 p + 29
3 u = 29 - 23
3 u = 6

1 u = 6 ÷ 3 = 2

Total number of wafers in the end
= 1 p + 1 p + 23 + 1 p + 23 + 2
= 1 p + 1 p + 1 p + 23 + 23 + 2
= 3 p + 48

3 p + 48 = 66
3 p = 66 - 48
3 p = 18

1 p = 18 ÷ 3 = 6

Number of chocolate wafers at first
= 1 p + 29
= 6 + 29
= 35

Answer(s): 35