Ethan had an equal number of strawberry wafers, butter wafers and vanila wafers. After he ate 34 strawberry wafers, some butter wafers and vanila wafers, there were 56 wafers left. The number of butter wafers he ate was twice the number of vanila wafers he ate. The number of butter wafers left was 16 more than the number of strawberry wafers left. How many strawberry wafers were there at first?

	Strawberry wafers	Butter wafers	Vanila wafers	Total wafers
Before	1 p + 34	1 p + 2 u + 16	1 p + 2 u + 16
Change	- 34	- 2 u	- 1 u
After	1 p	1 p + 16	1 p + 16 + 1 u	56

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

1 p + 2 u + 16 = 1 p + 34
2 u = 34 - 16
2 u = 18

1 u = 18 ÷ 2 = 9

Total number of wafers in the end
= 1 p + 1 p + 16 + 1 p + 16 + 9
= 1 p + 1 p + 1 p + 16 + 16 + 9
= 3 p + 41

3 p + 41 = 56
3 p = 56 - 41
3 p = 15

1 p = 15 ÷ 3 = 5

Number of strawberry wafers at first
= 1 p + 34
= 5 + 34
= 39

Answer(s): 39