Risa and Vanessa have some macarons each. If Risa gives Vanessa 9 macarons, Risa will have ¹₆ as many macarons as Vanessa. If Risa gives Vanessa 6 macarons, they will have an equal number of macarons. How many macarons does Risa have at first?

	Case 1		Case 2
	Risa	Vanessa	Risa	Vanessa
Before	1 u + 9	6 u - 9	3.5 u + 6	3.5 u - 6
Change	- 9	+ 9	- 6	+ 6
After	1 u	6 u	3.5 u	3.5 u

Total number of macarons that Risa and Vanessa have
= 1 u + 6 u
= 7 u 

Number of macarons that Risa and Vanessa each has in the end is the same.

Number of macarons that Risa and Vanessa each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u

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

3.5 u + 6 = 1 u + 9
3.5 u - 1 u = 9 - 6
0.5 u = 3

1 u = 3 ÷ 0.5 = 6

Number of macarons that Risa has
= 1 u + 9
= 1 x 6 + 9
= 6 + 9
= 15

Answer(s): 15