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

	Jigsaw puzzles	Toy cars	Total
Comparing jigsaw puzzles  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 jigsaw puzzles at first is repeated.  Make the number of jigsaw puzzles 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 jigsaw puzzles and toy cars at first
= 36 u
= 36 x 3
= 108

Answer(s): 108