Roshel and Zoe have some shortbreads each. If Roshel gives Zoe 25 shortbreads, Roshel will have ²₃ as many shortbreads as Zoe. If Roshel gives Zoe 16 shortbreads, they will have an equal number of shortbreads. How many shortbreads does Roshel have at first?

	Case 1		Case 2
	Roshel	Zoe	Roshel	Zoe
Before	2 u + 25	3 u - 25	2.5 u + 16	2.5 u - 16
Change	- 25	+ 25	- 16	+ 16
After	2 u	3 u	2.5 u	2.5 u

Total number of shortbreads that Roshel and Zoe have
= 2 u + 3 u
= 5 u 

Number of shortbreads that Roshel and Zoe each has in the end is the same.

Number of shortbreads that Roshel and Zoe each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u

Number of shortbreads that Roshel had at first is the same in Case 1 and Case 2.

2.5 u + 16 = 2 u + 25
2.5 u - 2 u = 25 - 16
0.5 u = 9

1 u = 9 ÷ 0.5 = 18

Number of shortbreads that Roshel has
= 2 u + 25
= 2 x 18 + 25
= 36 + 25
= 61

Answer(s): 61