Tiffany and Hazel have some macarons each. If Tiffany gives Hazel 13 macarons, Tiffany will have ⁴₇ as many macarons as Hazel. If Tiffany gives Hazel 2 macarons, they will have an equal number of macarons. How many macarons does Hazel have at first?

	Case 1		Case 2
	Tiffany	Hazel	Tiffany	Hazel
Before	4 u + 13	7 u - 13	5.5 u + 2	5.5 u - 2
Change	- 13	+ 13	- 2	+ 2
After	4 u	7 u	5.5 u	5.5 u

Total number of macarons that Tiffany and Hazel have
= 4 u + 7 u
= 11 u 

Number of macarons that Tiffany and Hazel each has in the end is the same.

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

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

5.5 u + 2 = 4 u + 13
5.5 u - 4 u = 13 - 2
0.5 u = 11

1 u = 11 ÷ 0.5 = 22

Number of macarons that Hazel has
= 7 u - 13
= 7 x 22 - 13
= 154 - 13
= 141

Answer(s): 141