Nicole and Tina have some macarons each. If Nicole gives Tina 10 macarons, Nicole will have ³₈ as many macarons as Tina. If Nicole gives Tina 2 macarons, they will have an equal number of macarons. How many macarons does Nicole have at first?

	Case 1		Case 2
	Nicole	Tina	Nicole	Tina
Before	3 u + 10	8 u - 10	5.5 u + 2	5.5 u - 2
Change	- 10	+ 10	- 2	+ 2
After	3 u	8 u	5.5 u	5.5 u

Total number of macarons that Nicole and Tina have
= 3 u + 8 u
= 11 u 

Number of macarons that Nicole and Tina each has in the end is the same.

Number of macarons that Nicole and Tina each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u

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

5.5 u + 2 = 3 u + 10
5.5 u - 3 u = 10 - 2
0.5 u = 8

1 u = 8 ÷ 0.5 = 16

Number of macarons that Nicole has
= 3 u + 10
= 3 x 16 + 10
= 48 + 10
= 58

Answer(s): 58