Jen and Olivia have some croissants each. If Jen gives Olivia 9 croissants, Jen will have ⁶₇ as many croissants as Olivia. If Jen gives Olivia 4 croissants, they will have an equal number of croissants. How many croissants does Jen have at first?

	Case 1		Case 2
	Jen	Olivia	Jen	Olivia
Before	6 u + 9	7 u - 9	6.5 u + 4	6.5 u - 4
Change	- 9	+ 9	- 4	+ 4
After	6 u	7 u	6.5 u	6.5 u

Total number of croissants that Jen and Olivia have
= 6 u + 7 u
= 13 u 

Number of croissants that Jen and Olivia each has in the end is the same.

Number of croissants that Jen and Olivia each has in the end in Case 2
= 13 u ÷ 2
= 6.5 u

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

6.5 u + 4 = 6 u + 9
6.5 u - 6 u = 9 - 4
0.5 u = 5

1 u = 5 ÷ 0.5 = 10

Number of croissants that Jen has
= 6 u + 9
= 6 x 10 + 9
= 60 + 9
= 69

Answer(s): 69