Shiyun and Emma have some macarons each. If Shiyun gives Emma 20 macarons, Shiyun will have ³₈ as many macarons as Emma. If Shiyun gives Emma 15 macarons, they will have an equal number of macarons. How many macarons does Shiyun have at first?

	Case 1		Case 2
	Shiyun	Emma	Shiyun	Emma
Before	3 u + 20	8 u - 20	5.5 u + 15	5.5 u - 15
Change	- 20	+ 20	- 15	+ 15
After	3 u	8 u	5.5 u	5.5 u

Total number of macarons that Shiyun and Emma have
= 3 u + 8 u
= 11 u 

Number of macarons that Shiyun and Emma each has in the end is the same.

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

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

5.5 u + 15 = 3 u + 20
5.5 u - 3 u = 20 - 15
0.5 u = 5

1 u = 5 ÷ 0.5 = 10

Number of macarons that Shiyun has
= 3 u + 20
= 3 x 10 + 20
= 30 + 20
= 50

Answer(s): 50