In a store, some toy rifles and rubber balls were on sale. ¹₅ of the items were toy rifles. ¹₃ of the toy rifles and 138 rubber balls were sold. There were ¹₆ of the items left in the store. How many toy rifles and rubber balls were there in the store at first?

	Toy rifles	Rubber balls	Total
Comparing toy rifles  and rubber balls at first	1x6 = 6 u	4x6 = 24 u	5x6 = 30 u
Before	3x2 =  6 u		6x5 = 30 u
Change	- 1x2 = - 2 u	- 138	- 5x5 = - 25 u
After	2x2 = 4 u	1 u	1x5 = 5 u

 
The total number of toys at first is repeated.  Make the total number of toys at first the same. LCM of 5 and 6 is 30.

The number of toy rifles at first is repeated.  Make the number of toy rifles the same. LCM of 6 and 3 is 6. 

Number of rubber balls left
= 5 u - 4 u
= 1 u

Number of rubber balls sold
= 24 u - 1 u
= 23 u

23 u = 138

1 u = 138 ÷ 23 = 6

Number of toy rifles and rubber balls at first
= 30 u
= 30 x 6
= 180

Answer(s): 180