In a store, some water guns and rubber duckies were on sale. ¹₄ of the items were water guns. ²₃ of the water guns and 130 rubber duckies were sold. There were ¹₉ of the items left in the store. How many water guns and rubber duckies were there in the store at first?

	Water guns	Rubber duckies	Total
Comparing water guns  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	- 130	- 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 water guns at first is repeated.  Make the number of water guns 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 = 130

1 u = 130 ÷ 26 = 5

Number of water guns and rubber duckies at first
= 36 u
= 36 x 5
= 180

Answer(s): 180