Jean has some candy canes and chocolate bars. If she packs a candy cane and a chocolate bar in each bag, there will be 25 chocolate bars left. If she packs 2 candy canes and 3 chocolate bars in each bag, there will be 22 candy canes left. How many candy canes and chocolate bars does she have in all?

	Case 1		Case 2
	Candy Canes	Chocolate Bars	Candy Canes	Chocolate Bars
Before	1 u	1 u + 25	2 p + 22	3 p
Change	- 1 u	- 1 u	- 2 p	- 3 p
After	0	25	22	0

The number of candy canes at first is the same for Case 1 and 2.
The number of chocolate bars at first is also the same for Case 1 and 2.

1 u = 2 p + 22 --- (1)

1 u + 25 = 3 p
1 u = 3 p - 25 --- (2)

(2) = (1)
3 p - 25 = 2 p + 22
3 p - 2 p = 22 + 25

1 p = 47

Total number of candy canes and chocolate bars
= (2 p + 22) + 3 p
= 5 p + 22
= 5 x 47 + 22
= 235 + 22
= 257

Answer(s): 257