Xuan and Kimberly have some puffs each. If Xuan gives Kimberly 27 puffs, Xuan will have ²₅ as many puffs as Kimberly. If Xuan gives Kimberly 19 puffs, they will have an equal number of puffs. How many puffs does Xuan have at first?

	Case 1		Case 2
	Xuan	Kimberly	Xuan	Kimberly
Before	2 u + 27	5 u - 27	3.5 u + 19	3.5 u - 19
Change	- 27	+ 27	- 19	+ 19
After	2 u	5 u	3.5 u	3.5 u

Total number of puffs that Xuan and Kimberly have
= 2 u + 5 u
= 7 u 

Number of puffs that Xuan and Kimberly each has in the end is the same.

Number of puffs that Xuan and Kimberly each has in the end in Case 2
= 7 u ÷ 2
= 3.5 u

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

3.5 u + 19 = 2 u + 27
3.5 u - 2 u = 27 - 19
0.5 u = 8

1 u = 8 ÷ 0.5 = 16

Number of puffs that Xuan has
= 2 u + 27
= 2 x 16 + 27
= 32 + 27
= 59

Answer(s): 59