Perry had an equal number of matcha tarts, butter tarts and cream tarts. After he ate 59 matcha tarts, some butter tarts and cream tarts, there were 71 tarts left. The number of butter tarts he ate was four times the number of cream tarts he ate. The number of butter tarts left was 15 more than the number of matcha tarts left. How many matcha tarts were there at first?

	Matcha tarts	Butter tarts	Cream tarts	Total tarts
Before	1 p + 59	1 p + 4 u + 15	1 p + 4 u + 15
Change	- 59	- 4 u	- 1 u
After	1 p	1 p + 15	1 p + 15 + 1 u	71

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

1 p + 4 u + 15 = 1 p + 59
4 u = 59 - 15
4 u = 44

1 u = 44 ÷ 4 = 11

Total number of tarts in the end
= 1 p + 1 p + 15 + 1 p + 15 + 11
= 1 p + 1 p + 1 p + 15 + 15 + 11
= 3 p + 41

3 p + 41 = 71
3 p = 71 - 41
3 p = 30

1 p = 30 ÷ 3 = 10

Number of matcha tarts at first
= 1 p + 59
= 10 + 59
= 69

Answer(s): 69