Kimberly and Joelle have some tarts each. If Kimberly gives Joelle 24 tarts, Kimberly will have ¹₄ as many tarts as Joelle. If Kimberly gives Joelle 6 tarts, they will have an equal number of tarts. How many tarts does Joelle have at first?

	Case 1		Case 2
	Kimberly	Joelle	Kimberly	Joelle
Before	1 u + 24	4 u - 24	2.5 u + 6	2.5 u - 6
Change	- 24	+ 24	- 6	+ 6
After	1 u	4 u	2.5 u	2.5 u

Total number of tarts that Kimberly and Joelle have
= 1 u + 4 u
= 5 u 

Number of tarts that Kimberly and Joelle each has in the end is the same.

Number of tarts that Kimberly and Joelle each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u

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

2.5 u + 6 = 1 u + 24
2.5 u - 1 u = 24 - 6
0.5 u = 18

1 u = 18 ÷ 0.5 = 36

Number of tarts that Joelle has
= 4 u - 24
= 4 x 36 - 24
= 144 - 24
= 120

Answer(s): 120