Zoe and Nora have some croissants each. If Zoe gives Nora 34 croissants, Zoe will have ⁵₆ as many croissants as Nora. If Zoe gives Nora 6 croissants, they will have an equal number of croissants. How many croissants does Nora have at first?

	Case 1		Case 2
	Zoe	Nora	Zoe	Nora
Before	5 u + 34	6 u - 34	5.5 u + 6	5.5 u - 6
Change	- 34	+ 34	- 6	+ 6
After	5 u	6 u	5.5 u	5.5 u

Total number of croissants that Zoe and Nora have
= 5 u + 6 u
= 11 u 

Number of croissants that Zoe and Nora each has in the end is the same.

Number of croissants that Zoe and Nora each has in the end in Case 2
= 11 u ÷ 2
= 5.5 u

Number of croissants that Zoe had at first is the same in Case 1 and Case 2.

5.5 u + 6 = 5 u + 34
5.5 u - 5 u = 34 - 6
0.5 u = 28

1 u = 28 ÷ 0.5 = 56

Number of croissants that Nora has
= 6 u - 34
= 6 x 56 - 34
= 336 - 34
= 302

Answer(s): 302