In a kiosk, some rubber duckies and toy cars were on sale. ¹₄ of the items were rubber duckies. ²₃ of the rubber duckies and 78 toy cars were sold. There were ¹₉ of the items left in the kiosk. How many rubber duckies and toy cars were there in the kiosk at first?

	Rubber duckies	Toy cars	Total
Comparing rubber duckies  and toy cars at first	1x9 = 9 u	3x9 = 27 u	4x9 = 36 u
Before	3x3 =  9 u		9x4 = 36 u
Change	- 2x3 = - 6 u	- 78	- 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 toy cars left
= 4 u - 3 u
= 1 u

Number of toy cars sold
= 27 u - 1 u
= 26 u

26 u = 78

1 u = 78 ÷ 26 = 3

Number of rubber duckies and toy cars at first
= 36 u
= 36 x 3
= 108

Answer(s): 108