At first, Riordan, Wendy and Glen had some sweets in the ratio 6 : 4 : 5 respectively. Riordan had 402 sweets. Then he gave all his sweets to Wendy and Glen. After receiving the sweets from Riordan, Wendy and Glen had the same number of sweets. How many sweets did Wendy receive from Riordan?

	Riordan	Wendy	Glen	Total
Before	6x2 = 12 u	4x2 = 8 u	5x2 = 10 u	15x2 = 30 u
Change	- 6 u	+ 6 u
After	0	1x15 = 15 u	1x15 = 15 u	2x15 = 30 u

The total number of sweets remains unchanged. Make the total number of sweets the same.  LCM of 2 and 15 is 30.

Total number of sweets = 30 u

Number of sweets that Wendy had in the end 
= 30 u ÷ 2
= 15 u

Number of sweets that Riordan had at first = 6 u 

6 u = 402

1 u = 402 ÷ 6 = 67

Number of sweets that Wendy received from Riordan
= 15 u - 8 u
= 7 u
= 7 x 67
= 469

Answer(s): 469