In a store, some flying saucers and rubber duckies were on sale. ¹₄ of the items were flying saucers. ²₃ of the flying saucers and 182 rubber duckies were sold. There were ¹₉ of the items left in the store. How many flying saucers and rubber duckies were there in the store at first?

	Flying saucers	Rubber duckies	Total
Comparing flying saucers  and rubber duckies 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 flying saucers at first is repeated.  Make the number of flying saucers the same. LCM of 9 and 3 is 9. 

Number of rubber duckies left
= 4 u - 3 u
= 1 u

Number of rubber duckies sold
= 27 u - 1 u
= 26 u

26 u = 182

1 u = 182 ÷ 26 = 7

Number of flying saucers and rubber duckies at first
= 36 u
= 36 x 7
= 252

Answer(s): 252