Julie has some chocolate bars and candy canes. If she packs a chocolate bar and a candy cane in each bag, there will be 15 candy canes left. If she packs 5 chocolate bars and 6 candy canes in each bag, there will be 20 chocolate bars left. How many chocolate bars and candy canes does she have in all?

	Case 1		Case 2
	Chocolate Bars	Candy Canes	Chocolate Bars	Candy Canes
Before	1 u	1 u + 15	5 p + 20	6 p
Change	- 1 u	- 1 u	- 5 p	- 6 p
After	0	15	20	0

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

1 u = 5 p + 20 --- (1)

1 u + 15 = 6 p
1 u = 6 p - 15 --- (2)

(2) = (1)
6 p - 15 = 5 p + 20
6 p - 5 p = 20 + 15

1 p = 35

Total number of chocolate bars and candy canes
= (5 p + 20) + 6 p
= 11 p + 20
= 11 x 35 + 20
= 385 + 20
= 405

Answer(s): 405