Elyse and Jaslyn have some tarts each. If Elyse gives Jaslyn 22 tarts, Elyse will have ¹₂ as many tarts as Jaslyn. If Elyse gives Jaslyn 2 tarts, they will have an equal number of tarts. How many tarts does Jaslyn have at first?

	Case 1		Case 2
	Elyse	Jaslyn	Elyse	Jaslyn
Before	1 u + 22	2 u - 22	1.5 u + 2	1.5 u - 2
Change	- 22	+ 22	- 2	+ 2
After	1 u	2 u	1.5 u	1.5 u

Total number of tarts that Elyse and Jaslyn have
= 1 u + 2 u
= 3 u 

Number of tarts that Elyse and Jaslyn each has in the end is the same.

Number of tarts that Elyse and Jaslyn each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u

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

1.5 u + 2 = 1 u + 22
1.5 u - 1 u = 22 - 2
0.5 u = 20

1 u = 20 ÷ 0.5 = 40

Number of tarts that Jaslyn has
= 2 u - 22
= 2 x 40 - 22
= 80 - 22
= 58

Answer(s): 58