At first, Fabian, Tiffany and Daniel had some lollipops in the ratio 9 : 7 : 8 respectively. Fabian had 405 lollipops. Then he gave all his lollipops to Tiffany and Daniel. After receiving the lollipops from Fabian, Tiffany and Daniel had the same number of lollipops. How many lollipops did Tiffany receive from Fabian?

	Fabian	Tiffany	Daniel	Total
Before	9x1 = 9 u	7x1 = 7 u	8x1 = 8 u	24x1 = 24 u
Change	- 9 u	+ 9 u
After	0	1x12 = 12 u	1x12 = 12 u	2x12 = 24 u

The total number of lollipops remains unchanged. Make the total number of lollipops the same.  LCM of 2 and 24 is 24.

Total number of lollipops = 24 u

Number of lollipops that Tiffany had in the end 
= 24 u ÷ 2
= 12 u

Number of lollipops that Fabian had at first = 9 u 

9 u = 405

1 u = 405 ÷ 9 = 45

Number of lollipops that Tiffany received from Fabian
= 12 u - 7 u
= 5 u
= 5 x 45
= 225

Answer(s): 225