Zoe has some candy canes and chocolate bars. If she packs a candy cane and a chocolate bar in each bag, there will be 14 chocolate bars left. If she packs 3 candy canes and 4 chocolate bars in each bag, there will be 29 candy canes left. How many candy canes and chocolate bars does she have in all?

	Case 1		Case 2
	Candy Canes	Chocolate Bars	Candy Canes	Chocolate Bars
Before	1 u	1 u + 14	3 p + 29	4 p
Change	- 1 u	- 1 u	- 3 p	- 4 p
After	0	14	29	0

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

1 u = 3 p + 29 --- (1)

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

(2) = (1)
4 p - 14 = 3 p + 29
4 p - 3 p = 29 + 14

1 p = 43

Total number of candy canes and chocolate bars
= (3 p + 29) + 4 p
= 7 p + 29
= 7 x 43 + 29
= 301 + 29
= 330

Answer(s): 330