Elyse has some chocolate bars and candy canes. If she packs a chocolate bar and a candy cane in each bag, there will be 24 candy canes left. If she packs 4 chocolate bars and 5 candy canes in each bag, there will be 24 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 + 24	4 p + 24	5 p
Change	- 1 u	- 1 u	- 4 p	- 5 p
After	0	24	24	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 = 4 p + 24 --- (1)

1 u + 24 = 5 p
1 u = 5 p - 24 --- (2)

(2) = (1)
5 p - 24 = 4 p + 24
5 p - 4 p = 24 + 24

1 p = 48

Total number of chocolate bars and candy canes
= (4 p + 24) + 5 p
= 9 p + 24
= 9 x 48 + 24
= 432 + 24
= 456

Answer(s): 456