Shannon and Kathy have some macarons each. If Shannon gives Kathy 25 macarons, Shannon will have ²₃ as many macarons as Kathy. If Shannon gives Kathy 9 macarons, they will have an equal number of macarons. How many macarons does Kathy have at first?

	Case 1		Case 2
	Shannon	Kathy	Shannon	Kathy
Before	2 u + 25	3 u - 25	2.5 u + 9	2.5 u - 9
Change	- 25	+ 25	- 9	+ 9
After	2 u	3 u	2.5 u	2.5 u

Total number of macarons that Shannon and Kathy have
= 2 u + 3 u
= 5 u 

Number of macarons that Shannon and Kathy each has in the end is the same.

Number of macarons that Shannon and Kathy each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u

Number of macarons that Shannon had at first is the same in Case 1 and Case 2.

2.5 u + 9 = 2 u + 25
2.5 u - 2 u = 25 - 9
0.5 u = 16

1 u = 16 ÷ 0.5 = 32

Number of macarons that Kathy has
= 3 u - 25
= 3 x 32 - 25
= 96 - 25
= 71

Answer(s): 71