In a shop, some rubik's cubes and rubber balls were on sale. ¹₅ of the items were rubik's cubes. ²₃ of the rubik's cubes and 564 rubber balls were sold. There were ¹₁₂ of the items left in the shop. How many rubik's cubes and rubber balls were there in the shop at first?

	Rubik's cubes	Rubber balls	Total
Comparing rubik's cubes  and rubber balls at first	1x12 = 12 u	4x12 = 48 u	5x12 = 60 u
Before	3x4 =  12 u		12x5 = 60 u
Change	- 2x4 = - 8 u	- 564	- 11x5 = - 55 u
After	1x4 = 4 u	1 u	1x5 = 5 u

 
The total number of toys at first is repeated.  Make the total number of toys at first the same. LCM of 5 and 12 is 60.

The number of rubik's cubes at first is repeated.  Make the number of rubik's cubes the same. LCM of 12 and 3 is 12. 

Number of rubber balls left
= 5 u - 4 u
= 1 u

Number of rubber balls sold
= 48 u - 1 u
= 47 u

47 u = 564

1 u = 564 ÷ 47 = 12

Number of rubik's cubes and rubber balls at first
= 60 u
= 60 x 12
= 720

Answer(s): 720