Barbara and Emily have some croissants each. If Barbara gives Emily 19 croissants, Barbara will have ¹₂ as many croissants as Emily. If Barbara gives Emily 14 croissants, they will have an equal number of croissants. How many croissants does Barbara have at first?

	Case 1		Case 2
	Barbara	Emily	Barbara	Emily
Before	1 u + 19	2 u - 19	1.5 u + 14	1.5 u - 14
Change	- 19	+ 19	- 14	+ 14
After	1 u	2 u	1.5 u	1.5 u

Total number of croissants that Barbara and Emily have
= 1 u + 2 u
= 3 u 

Number of croissants that Barbara and Emily each has in the end is the same.

Number of croissants that Barbara and Emily each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u

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

1.5 u + 14 = 1 u + 19
1.5 u - 1 u = 19 - 14
0.5 u = 5

1 u = 5 ÷ 0.5 = 10

Number of croissants that Barbara has
= 1 u + 19
= 1 x 10 + 19
= 10 + 19
= 29

Answer(s): 29