Xandra and Mary have some muffins each. If Xandra gives Mary 30 muffins, Xandra will have ³₈ as many muffins as Mary. If Xandra gives Mary 8 muffins, they will have an equal number of muffins. How many muffins does Mary have at first?

	Case 1		Case 2
	Xandra	Mary	Xandra	Mary
Before	3 u + 30	8 u - 30	5.5 u + 8	5.5 u - 8
Change	- 30	+ 30	- 8	+ 8
After	3 u	8 u	5.5 u	5.5 u

Total number of muffins that Xandra and Mary have
= 3 u + 8 u
= 11 u 

Number of muffins that Xandra and Mary each has in the end is the same.

Number of muffins that Xandra and Mary each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u

Number of muffins that Xandra had at first is the same in Case 1 and Case 2.

5.5 u + 8 = 3 u + 30
5.5 u - 3 u = 30 - 8
0.5 u = 22

1 u = 22 ÷ 0.5 = 44

Number of muffins that Mary has
= 8 u - 30
= 8 x 44 - 30
= 352 - 30
= 322

Answer(s): 322