At first, Dylan, Victoria and Luis had some lollipops in the ratio 9 : 7 : 8 respectively. Dylan had 324 lollipops. Then he gave all his lollipops to Victoria and Luis. After receiving the lollipops from Dylan, Victoria and Luis had the same number of lollipops. How many lollipops did Victoria receive from Dylan?

	Dylan	Victoria	Luis	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 Victoria had in the end 
= 24 u ÷ 2
= 12 u

Number of lollipops that Dylan had at first = 9 u 

9 u = 324

1 u = 324 ÷ 9 = 36

Number of lollipops that Victoria received from Dylan
= 12 u - 7 u
= 5 u
= 5 x 36
= 180

Answer(s): 180