Jaslyn has some caramel apples and mochi balls. If she packs a caramel apple and a mochi ball in each bag, there will be 13 mochi balls left. If she packs 2 caramel apples and 3 mochi balls in each bag, there will be 23 caramel apples left. How many caramel apples and mochi balls does she have in all?

	Case 1		Case 2
	Caramel Apples	Mochi Balls	Caramel Apples	Mochi Balls
Before	1 u	1 u + 13	2 p + 23	3 p
Change	- 1 u	- 1 u	- 2 p	- 3 p
After	0	13	23	0

The number of caramel apples at first is the same for Case 1 and 2.
The number of mochi balls at first is also the same for Case 1 and 2.

1 u = 2 p + 23 --- (1)

1 u + 13 = 3 p
1 u = 3 p - 13 --- (2)

(2) = (1)
3 p - 13 = 2 p + 23
3 p - 2 p = 23 + 13

1 p = 36

Total number of caramel apples and mochi balls
= (2 p + 23) + 3 p
= 5 p + 23
= 5 x 36 + 23
= 180 + 23
= 203

Answer(s): 203