Raeann and Irene have some muffins each. If Raeann gives Irene 11 muffins, Raeann will have ¹₂ as many muffins as Irene. If Raeann gives Irene 4 muffins, they will have an equal number of muffins. How many muffins does Raeann have at first?

	Case 1		Case 2
	Raeann	Irene	Raeann	Irene
Before	1 u + 11	2 u - 11	1.5 u + 4	1.5 u - 4
Change	- 11	+ 11	- 4	+ 4
After	1 u	2 u	1.5 u	1.5 u

Total number of muffins that Raeann and Irene have
= 1 u + 2 u
= 3 u 

Number of muffins that Raeann and Irene each has in the end is the same.

Number of muffins that Raeann and Irene each has in the end in Case 2
= 3 u ÷ 2
= 1.5 u

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

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

1 u = 7 ÷ 0.5 = 14

Number of muffins that Raeann has
= 1 u + 11
= 1 x 14 + 11
= 14 + 11
= 25

Answer(s): 25