Diana has some mini cupcakes and chocolate bars. If she packs a mini cupcake and a chocolate bar in each bag, there will be 14 chocolate bars left. If she packs 3 mini cupcakes and 4 chocolate bars in each bag, there will be 16 mini cupcakes left. How many mini cupcakes and chocolate bars does she have in all?

	Case 1		Case 2
	Mini Cupcakes	Chocolate Bars	Mini Cupcakes	Chocolate Bars
Before	1 u	1 u + 14	3 p + 16	4 p
Change	- 1 u	- 1 u	- 3 p	- 4 p
After	0	14	16	0

The number of mini cupcakes 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 + 16 --- (1)

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

(2) = (1)
4 p - 14 = 3 p + 16
4 p - 3 p = 16 + 14

1 p = 30

Total number of mini cupcakes and chocolate bars
= (3 p + 16) + 4 p
= 7 p + 16
= 7 x 30 + 16
= 210 + 16
= 226

Answer(s): 226