Anna and Olivia have some croissants each. If Anna gives Olivia 22 croissants, Anna will have ²₃ as many croissants as Olivia. If Anna gives Olivia 19 croissants, they will have an equal number of croissants. How many croissants does Anna have at first?

	Case 1		Case 2
	Anna	Olivia	Anna	Olivia
Before	2 u + 22	3 u - 22	2.5 u + 19	2.5 u - 19
Change	- 22	+ 22	- 19	+ 19
After	2 u	3 u	2.5 u	2.5 u

Total number of croissants that Anna and Olivia have
= 2 u + 3 u
= 5 u 

Number of croissants that Anna and Olivia each has in the end is the same.

Number of croissants that Anna and Olivia each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u

Number of croissants that Anna had at first is the same in Case 1 and Case 2.

2.5 u + 19 = 2 u + 22
2.5 u - 2 u = 22 - 19
0.5 u = 3

1 u = 3 ÷ 0.5 = 6

Number of croissants that Anna has
= 2 u + 22
= 2 x 6 + 22
= 12 + 22
= 34

Answer(s): 34