Shiyun, Raeann and Marion had a total of 86 stickers. The ratio of Raeann's stickers to Marion's stickers was at first 10 : 3. After Shiyun and Raeann each gave half of their stickers away, the 3 children had 49 stickers left. How many stickers did Shiyun and Raeann have at first?

	Shiyun	Raeann	Marion	Total
Before	2 p	10 u	3 u	86
Change	- 1 p	- 5 u		- 37
After	1 p	5 u	3 u	49

Number of stickers that Shiyun and Raeann gave away
= 86 - 49
= 37

1 p + 5 u = 37
1 p = 37 - 5 u --- (1)

1 p + 5 u + 3 u = 49
1 p + 8 u = 49
1 p = 49 - 8 u --- (2)

(1) = (2)
37 - 5 u = 49 - 8 u
8 u - 5 u = 49 - 37
3 u = 12

1 u = 12 ÷ 3 = 4

From (1)
1 p = 37 - 5 u
1 p = 37 - 5 x 4

1 p = 37 - 20 = 17

Number of stickers that Shiyun and Raeann had at first
= 2 p + 10 u
= 2 x 17 + 10 x 4
= 34 + 12
= 46

Answer(s): 46