Barbara and Nora have some puffs each. If Barbara gives Nora 25 puffs, Barbara will have ²₃ as many puffs as Nora. If Barbara gives Nora 6 puffs, they will have an equal number of puffs. How many puffs does Nora have at first?

	Case 1		Case 2
	Barbara	Nora	Barbara	Nora
Before	2 u + 25	3 u - 25	2.5 u + 6	2.5 u - 6
Change	- 25	+ 25	- 6	+ 6
After	2 u	3 u	2.5 u	2.5 u

Total number of puffs that Barbara and Nora have
= 2 u + 3 u
= 5 u 

Number of puffs that Barbara and Nora each has in the end is the same.

Number of puffs that Barbara and Nora each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u

Number of puffs that Barbara had at first is the same in Case 1 and Case 2.

2.5 u + 6 = 2 u + 25
2.5 u - 2 u = 25 - 6
0.5 u = 19

1 u = 19 ÷ 0.5 = 38

Number of puffs that Nora has
= 3 u - 25
= 3 x 38 - 25
= 114 - 25
= 89

Answer(s): 89