Wendy has some candy canes and caramel apples. If she packs a candy cane and a caramel apple in each bag, there will be 23 caramel apples left. If she packs 5 candy canes and 6 caramel apples in each bag, there will be 19 candy canes left. How many candy canes and caramel apples does she have in all?

	Case 1		Case 2
	Candy Canes	Caramel Apples	Candy Canes	Caramel Apples
Before	1 u	1 u + 23	5 p + 19	6 p
Change	- 1 u	- 1 u	- 5 p	- 6 p
After	0	23	19	0

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

1 u = 5 p + 19 --- (1)

1 u + 23 = 6 p
1 u = 6 p - 23 --- (2)

(2) = (1)
6 p - 23 = 5 p + 19
6 p - 5 p = 19 + 23

1 p = 42

Total number of candy canes and caramel apples
= (5 p + 19) + 6 p
= 11 p + 19
= 11 x 42 + 19
= 462 + 19
= 481

Answer(s): 481