Nicole and Fanny have some wafers each. If Nicole gives Fanny 29 wafers, Nicole will have ²₇ as many wafers as Fanny. If Nicole gives Fanny 3 wafers, they will have an equal number of wafers. How many wafers does Fanny have at first?

	Case 1		Case 2
	Nicole	Fanny	Nicole	Fanny
Before	2 u + 29	7 u - 29	4.5 u + 3	4.5 u - 3
Change	- 29	+ 29	- 3	+ 3
After	2 u	7 u	4.5 u	4.5 u

Total number of wafers that Nicole and Fanny have
= 2 u + 7 u
= 9 u 

Number of wafers that Nicole and Fanny each has in the end is the same.

Number of wafers that Nicole and Fanny each has in the end in Case 2
= 9 u ÷ 2
= 4.5 u

Number of wafers that Nicole had at first is the same in Case 1 and Case 2.

4.5 u + 3 = 2 u + 29
4.5 u - 2 u = 29 - 3
0.5 u = 26

1 u = 26 ÷ 0.5 = 52

Number of wafers that Fanny has
= 7 u - 29
= 7 x 52 - 29
= 364 - 29
= 335

Answer(s): 335