Raeann and Fiona have some tarts each. If Raeann gives Fiona 30 tarts, Raeann will have ¹₈ as many tarts as Fiona. If Raeann gives Fiona 4 tarts, they will have an equal number of tarts. How many tarts does Fiona have at first?

	Case 1		Case 2
	Raeann	Fiona	Raeann	Fiona
Before	1 u + 30	8 u - 30	4.5 u + 4	4.5 u - 4
Change	- 30	+ 30	- 4	+ 4
After	1 u	8 u	4.5 u	4.5 u

Total number of tarts that Raeann and Fiona have
= 1 u + 8 u
= 9 u 

Number of tarts that Raeann and Fiona each has in the end is the same.

Number of tarts that Raeann and Fiona each has in the end in Case 2
= 9 u ÷ 2
= 4.5 u

Number of tarts that Raeann had at first is the same in Case 1 and Case 2.

4.5 u + 4 = 1 u + 30
4.5 u - 1 u = 30 - 4
0.5 u = 26

1 u = 26 ÷ 0.5 = 52

Number of tarts that Fiona has
= 8 u - 30
= 8 x 52 - 30
= 416 - 30
= 386

Answer(s): 386