Perry had an equal number of chocolate tarts, matcha tarts and butter tarts. After he ate 30 chocolate tarts, some matcha tarts and butter tarts, there were 73 tarts left. The number of matcha tarts he ate was four times the number of butter tarts he ate. The number of matcha tarts left was 22 more than the number of chocolate tarts left. How many chocolate tarts were there at first?

	Chocolate tarts	Matcha tarts	Butter tarts	Total tarts
Before	1 p + 30	1 p + 4 u + 22	1 p + 4 u + 22
Change	- 30	- 4 u	- 1 u
After	1 p	1 p + 22	1 p + 22 + 1 u	73

Number of matcha tarts and chocolate tarts was equal at first.

1 p + 4 u + 22 = 1 p + 30
4 u = 30 - 22
4 u = 8

1 u = 8 ÷ 4 = 2

Total number of tarts in the end
= 1 p + 1 p + 22 + 1 p + 22 + 2
= 1 p + 1 p + 1 p + 22 + 22 + 2
= 3 p + 46

3 p + 46 = 73
3 p = 73 - 46
3 p = 27

1 p = 27 ÷ 3 = 9

Number of chocolate tarts at first
= 1 p + 30
= 9 + 30
= 39

Answer(s): 39