In a shop, some rubber duckies and toy rifles were on sale. ¹₇ of the items were rubber duckies. ²₃ of the rubber duckies and 200 toy rifles were sold. There were ¹₉ of the items left in the shop. How many rubber duckies and toy rifles were there in the shop at first?

	Rubber duckies	Toy rifles	Total
Comparing rubber duckies  and toy rifles at first	1x9 = 9 u	6x9 = 54 u	7x9 = 63 u
Before	3x3 =  9 u		9x7 = 63 u
Change	- 2x3 = - 6 u	- 200	- 8x7 = - 56 u
After	1x3 = 3 u	4 u	1x7 = 7 u

 
The total number of toys at first is repeated.  Make the total number of toys at first the same. LCM of 7 and 9 is 63.

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 rifles left
= 7 u - 3 u
= 4 u

Number of toy rifles sold
= 54 u - 4 u
= 50 u

50 u = 200

1 u = 200 ÷ 50 = 4

Number of rubber duckies and toy rifles at first
= 63 u
= 63 x 4
= 252

Answer(s): 252