Usha and Kimberly have some macarons each. If Usha gives Kimberly 11 macarons, Usha will have ¹₈ as many macarons as Kimberly. If Usha gives Kimberly 7 macarons, they will have an equal number of macarons. How many macarons does Usha have at first?

	Case 1		Case 2
	Usha	Kimberly	Usha	Kimberly
Before	1 u + 11	8 u - 11	4.5 u + 7	4.5 u - 7
Change	- 11	+ 11	- 7	+ 7
After	1 u	8 u	4.5 u	4.5 u

Total number of macarons that Usha and Kimberly have
= 1 u + 8 u
= 9 u 

Number of macarons that Usha and Kimberly each has in the end is the same.

Number of macarons that Usha and Kimberly each has in the end in Case 2
= 9 u ÷ 2
= 4.5 u

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

4.5 u + 7 = 1 u + 11
4.5 u - 1 u = 11 - 7
0.5 u = 4

1 u = 4 ÷ 0.5 = 8

Number of macarons that Usha has
= 1 u + 11
= 1 x 8 + 11
= 8 + 11
= 19

Answer(s): 19