Sarah and Fiona have some macarons each. If Sarah gives Fiona 16 macarons, Sarah will have ¹₂ as many macarons as Fiona. If Sarah gives Fiona 4 macarons, they will have an equal number of macarons. How many macarons does Fiona have at first?

	Case 1		Case 2
	Sarah	Fiona	Sarah	Fiona
Before	1 u + 16	2 u - 16	1.5 u + 4	1.5 u - 4
Change	- 16	+ 16	- 4	+ 4
After	1 u	2 u	1.5 u	1.5 u

Total number of macarons that Sarah and Fiona have
= 1 u + 2 u
= 3 u 

Number of macarons that Sarah and Fiona each has in the end is the same.

Number of macarons that Sarah and Fiona each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u

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

1.5 u + 4 = 1 u + 16
1.5 u - 1 u = 16 - 4
0.5 u = 12

1 u = 12 ÷ 0.5 = 24

Number of macarons that Fiona has
= 2 u - 16
= 2 x 24 - 16
= 48 - 16
= 32

Answer(s): 32