Kylie has some chocolate bars and mini cupcakes. If she packs a chocolate bar and a mini cupcake in each bag, there will be 14 mini cupcakes left. If she packs 2 chocolate bars and 3 mini cupcakes in each bag, there will be 30 chocolate bars left. How many chocolate bars and mini cupcakes does she have in all?

	Case 1		Case 2
	Chocolate Bars	Mini Cupcakes	Chocolate Bars	Mini Cupcakes
Before	1 u	1 u + 14	2 p + 30	3 p
Change	- 1 u	- 1 u	- 2 p	- 3 p
After	0	14	30	0

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

1 u = 2 p + 30 --- (1)

1 u + 14 = 3 p
1 u = 3 p - 14 --- (2)

(2) = (1)
3 p - 14 = 2 p + 30
3 p - 2 p = 30 + 14

1 p = 44

Total number of chocolate bars and mini cupcakes
= (2 p + 30) + 3 p
= 5 p + 30
= 5 x 44 + 30
= 220 + 30
= 250

Answer(s): 250