Carl had an equal number of strawberry macarons, butter macarons and matcha macarons. After he ate 50 strawberry macarons, some butter macarons and matcha macarons, there were 75 macarons left. The number of butter macarons he ate was four times the number of matcha macarons he ate. The number of butter macarons left was 22 more than the number of strawberry macarons left. How many strawberry macarons were there at first?

	Strawberry macarons	Butter macarons	Matcha macarons	Total macarons
Before	1 p + 50	1 p + 4 u + 22	1 p + 4 u + 22
Change	- 50	- 4 u	- 1 u
After	1 p	1 p + 22	1 p + 22 + 1 u	75

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

1 p + 4 u + 22 = 1 p + 50
4 u = 50 - 22
4 u = 28

1 u = 28 ÷ 4 = 7

Total number of macarons in the end
= 1 p + 1 p + 22 + 1 p + 22 + 7
= 1 p + 1 p + 1 p + 22 + 22 + 7
= 3 p + 51

3 p + 51 = 75
3 p = 75 - 51
3 p = 24

1 p = 24 ÷ 3 = 8

Number of strawberry macarons at first
= 1 p + 50
= 8 + 50
= 58

Answer(s): 58