Lynn has some candy canes and caramel apples. If she packs a candy cane and a caramel apple in each bag, there will be 25 caramel apples left. If she packs 4 candy canes and 5 caramel apples in each bag, there will be 13 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 + 25	4 p + 13	5 p
Change	- 1 u	- 1 u	- 4 p	- 5 p
After	0	25	13	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 = 4 p + 13 --- (1)

1 u + 25 = 5 p
1 u = 5 p - 25 --- (2)

(2) = (1)
5 p - 25 = 4 p + 13
5 p - 4 p = 13 + 25

1 p = 38

Total number of candy canes and caramel apples
= (4 p + 13) + 5 p
= 9 p + 13
= 9 x 38 + 13
= 342 + 13
= 355

Answer(s): 355