Gabriel had an equal number of butter wafers, strawberry wafers and matcha wafers. After he ate 23 butter wafers, some strawberry wafers and matcha wafers, there were 46 wafers left. The number of strawberry wafers he ate was four times the number of matcha wafers he ate. The number of strawberry wafers left was 11 more than the number of butter wafers left. How many butter wafers were there at first?

	Butter wafers	Strawberry wafers	Matcha wafers	Total wafers
Before	1 p + 23	1 p + 4 u + 11	1 p + 4 u + 11
Change	- 23	- 4 u	- 1 u
After	1 p	1 p + 11	1 p + 11 + 1 u	46

Number of strawberry wafers and butter wafers was equal at first.

1 p + 4 u + 11 = 1 p + 23
4 u = 23 - 11
4 u = 12

1 u = 12 ÷ 4 = 3

Total number of wafers in the end
= 1 p + 1 p + 11 + 1 p + 11 + 3
= 1 p + 1 p + 1 p + 11 + 11 + 3
= 3 p + 25

3 p + 25 = 46
3 p = 46 - 25
3 p = 21

1 p = 21 ÷ 3 = 7

Number of butter wafers at first
= 1 p + 23
= 7 + 23
= 30

Answer(s): 30