Esther has some candy canes and caramel apples. If she packs a candy cane and a caramel apple in each bag, there will be 14 caramel apples left. If she packs 3 candy canes and 4 caramel apples in each bag, there will be 22 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 + 14	3 p + 22	4 p
Change	- 1 u	- 1 u	- 3 p	- 4 p
After	0	14	22	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 = 3 p + 22 --- (1)

1 u + 14 = 4 p
1 u = 4 p - 14 --- (2)

(2) = (1)
4 p - 14 = 3 p + 22
4 p - 3 p = 22 + 14

1 p = 36

Total number of candy canes and caramel apples
= (3 p + 22) + 4 p
= 7 p + 22
= 7 x 36 + 22
= 252 + 22
= 274

Answer(s): 274