In a shop, some rubber duckies and rubik's cubes were on sale. ¹₄ of the items were rubber duckies. ²₃ of the rubber duckies and 182 rubik's cubes were sold. There were ¹₉ of the items left in the shop. How many rubber duckies and rubik's cubes were there in the shop at first?

	Rubber duckies	Rubik's cubes	Total
Comparing rubber duckies  and rubik's cubes at first	1x9 = 9 u	3x9 = 27 u	4x9 = 36 u
Before	3x3 =  9 u		9x4 = 36 u
Change	- 2x3 = - 6 u	- 182	- 8x4 = - 32 u
After	1x3 = 3 u	1 u	1x4 = 4 u

 
The total number of toys at first is repeated.  Make the total number of toys at first the same. LCM of 4 and 9 is 36.

The number of rubber duckies at first is repeated.  Make the number of rubber duckies the same. LCM of 9 and 3 is 9. 

Number of rubik's cubes left
= 4 u - 3 u
= 1 u

Number of rubik's cubes sold
= 27 u - 1 u
= 26 u

26 u = 182

1 u = 182 ÷ 26 = 7

Number of rubber duckies and rubik's cubes at first
= 36 u
= 36 x 7
= 252

Answer(s): 252