Jade has some chocolate bars and caramel apples. If she packs a chocolate bar and a caramel apple in each bag, there will be 26 caramel apples left. If she packs 3 chocolate bars and 4 caramel apples in each bag, there will be 16 chocolate bars left. How many chocolate bars and caramel apples does she have in all?

	Case 1		Case 2
	Chocolate Bars	Caramel Apples	Chocolate Bars	Caramel Apples
Before	1 u	1 u + 26	3 p + 16	4 p
Change	- 1 u	- 1 u	- 3 p	- 4 p
After	0	26	16	0

The number of chocolate bars 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 + 16 --- (1)

1 u + 26 = 4 p
1 u = 4 p - 26 --- (2)

(2) = (1)
4 p - 26 = 3 p + 16
4 p - 3 p = 16 + 26

1 p = 42

Total number of chocolate bars and caramel apples
= (3 p + 16) + 4 p
= 7 p + 16
= 7 x 42 + 16
= 294 + 16
= 310

Answer(s): 310