Winnie has some chocolate bars and mochi balls. If she packs a chocolate bar and a mochi ball in each bag, there will be 26 mochi balls left. If she packs 4 chocolate bars and 5 mochi balls in each bag, there will be 21 chocolate bars left. How many chocolate bars and mochi balls does she have in all?

	Case 1		Case 2
	Chocolate Bars	Mochi Balls	Chocolate Bars	Mochi Balls
Before	1 u	1 u + 26	4 p + 21	5 p
Change	- 1 u	- 1 u	- 4 p	- 5 p
After	0	26	21	0

The number of chocolate bars 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 = 4 p + 21 --- (1)

1 u + 26 = 5 p
1 u = 5 p - 26 --- (2)

(2) = (1)
5 p - 26 = 4 p + 21
5 p - 4 p = 21 + 26

1 p = 47

Total number of chocolate bars and mochi balls
= (4 p + 21) + 5 p
= 9 p + 21
= 9 x 47 + 21
= 423 + 21
= 444

Answer(s): 444