In a shop, some frisbees and flying saucers were on sale. ¹₅ of the items were frisbees. ²₃ of the frisbees and 126 flying saucers were sold. There were ¹₆ of the items left in the shop. How many frisbees and flying saucers were there in the shop at first?

	Frisbees	Flying saucers	Total
Comparing frisbees  and flying saucers at first	1x6 = 6 u	4x6 = 24 u	5x6 = 30 u
Before	3x2 =  6 u		6x5 = 30 u
Change	- 2x2 = - 4 u	- 126	- 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 flying saucers left
= 5 u - 2 u
= 3 u

Number of flying saucers sold
= 24 u - 3 u
= 21 u

21 u = 126

1 u = 126 ÷ 21 = 6

Number of frisbees and flying saucers at first
= 30 u
= 30 x 6
= 180

Answer(s): 180