Hilda has some chocolate bars and candy canes. If she packs a chocolate bar and a candy cane in each bag, there will be 18 candy canes left. If she packs 4 chocolate bars and 5 candy canes in each bag, there will be 11 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 + 18	4 p + 11	5 p
Change	- 1 u	- 1 u	- 4 p	- 5 p
After	0	18	11	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 + 11 --- (1)

1 u + 18 = 5 p
1 u = 5 p - 18 --- (2)

(2) = (1)
5 p - 18 = 4 p + 11
5 p - 4 p = 11 + 18

1 p = 29

Total number of chocolate bars and candy canes
= (4 p + 11) + 5 p
= 9 p + 11
= 9 x 29 + 11
= 261 + 11
= 272

Answer(s): 272