At first, Harry, Tiffany and Ethan had some sweets in the ratio 5 : 3 : 4 respectively. Harry had 325 sweets. Then he gave all his sweets to Tiffany and Ethan. After receiving the sweets from Harry, Tiffany and Ethan had the same number of sweets. How many sweets did Tiffany receive from Harry?

	Harry	Tiffany	Ethan	Total
Before	5x1 = 5 u	3x1 = 3 u	4x1 = 4 u	12x1 = 12 u
Change	- 5 u	+ 5 u
After	0	1x6 = 6 u	1x6 = 6 u	2x6 = 12 u

The total number of sweets remains unchanged. Make the total number of sweets the same.  LCM of 2 and 12 is 12.

Total number of sweets = 12 u

Number of sweets that Tiffany had in the end 
= 12 u ÷ 2
= 6 u

Number of sweets that Harry had at first = 5 u 

5 u = 325

1 u = 325 ÷ 5 = 65

Number of sweets that Tiffany received from Harry
= 6 u - 3 u
= 3 u
= 3 x 65
= 195

Answer(s): 195