Jean and Vanessa have some biscuits each. If Jean gives Vanessa 25 biscuits, Jean will have ²₃ as many biscuits as Vanessa. If Jean gives Vanessa 19 biscuits, they will have an equal number of biscuits. How many biscuits does Jean have at first?

	Case 1		Case 2
	Jean	Vanessa	Jean	Vanessa
Before	2 u + 25	3 u - 25	2.5 u + 19	2.5 u - 19
Change	- 25	+ 25	- 19	+ 19
After	2 u	3 u	2.5 u	2.5 u

Total number of biscuits that Jean and Vanessa have
= 2 u + 3 u
= 5 u 

Number of biscuits that Jean and Vanessa each has in the end is the same.

Number of biscuits that Jean and Vanessa each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u

Number of biscuits that Jean had at first is the same in Case 1 and Case 2.

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

1 u = 6 ÷ 0.5 = 12

Number of biscuits that Jean has
= 2 u + 25
= 2 x 12 + 25
= 24 + 25
= 49

Answer(s): 49