Vanessa and Tammy have some muffins each. If Vanessa gives Tammy 29 muffins, Vanessa will have ¹₂ as many muffins as Tammy. If Vanessa gives Tammy 4 muffins, they will have an equal number of muffins. How many muffins does Tammy have at first?

	Case 1		Case 2
	Vanessa	Tammy	Vanessa	Tammy
Before	1 u + 29	2 u - 29	1.5 u + 4	1.5 u - 4
Change	- 29	+ 29	- 4	+ 4
After	1 u	2 u	1.5 u	1.5 u

Total number of muffins that Vanessa and Tammy have
= 1 u + 2 u
= 3 u 

Number of muffins that Vanessa and Tammy each has in the end is the same.

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

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

1.5 u + 4 = 1 u + 29
1.5 u - 1 u = 29 - 4
0.5 u = 25

1 u = 25 ÷ 0.5 = 50

Number of muffins that Tammy has
= 2 u - 29
= 2 x 50 - 29
= 100 - 29
= 71

Answer(s): 71