In a mall, some frisbees and jigsaw puzzles were on sale. ¹₅ of the items were frisbees. ²₃ of the frisbees and 189 jigsaw puzzles were sold. There were ¹₆ of the items left in the mall. How many frisbees and jigsaw puzzles were there in the mall at first?

	Frisbees	Jigsaw puzzles	Total
Comparing frisbees  and jigsaw puzzles at first	1x6 = 6 u	4x6 = 24 u	5x6 = 30 u
Before	3x2 =  6 u		6x5 = 30 u
Change	- 2x2 = - 4 u	- 189	- 5x5 = - 25 u
After	1x2 = 2 u	3 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 frisbees at first is repeated.  Make the number of frisbees the same. LCM of 6 and 3 is 6. 

Number of jigsaw puzzles left
= 5 u - 2 u
= 3 u

Number of jigsaw puzzles sold
= 24 u - 3 u
= 21 u

21 u = 189

1 u = 189 ÷ 21 = 9

Number of frisbees and jigsaw puzzles at first
= 30 u
= 30 x 9
= 270

Answer(s): 270