In a store, some mini-helicopters and rubik's cubes were on sale. ¹₈ of the items were mini-helicopters. ²₃ of the mini-helicopters and 464 rubik's cubes were sold. There were ¹₉ of the items left in the store. How many mini-helicopters and rubik's cubes were there in the store at first?

	Mini-helicopters	Rubik's cubes	Total
Comparing mini-helicopters  and rubik's cubes at first	1x9 = 9 u	7x9 = 63 u	8x9 = 72 u
Before	3x3 =  9 u		9x8 = 72 u
Change	- 2x3 = - 6 u	- 464	- 8x8 = - 64 u
After	1x3 = 3 u	5 u	1x8 = 8 u

 
The total number of toys at first is repeated.  Make the total number of toys at first the same. LCM of 8 and 9 is 72.

The number of mini-helicopters at first is repeated.  Make the number of mini-helicopters the same. LCM of 9 and 3 is 9. 

Number of rubik's cubes left
= 8 u - 3 u
= 5 u

Number of rubik's cubes sold
= 63 u - 5 u
= 58 u

58 u = 464

1 u = 464 ÷ 58 = 8

Number of mini-helicopters and rubik's cubes at first
= 72 u
= 72 x 8
= 576

Answer(s): 576