Winnie, Dana and Kylie had a total of 128 stickers. The ratio of Dana's stickers to Kylie's stickers was at first 8 : 3. After Winnie and Dana each gave half of their stickers away, the 3 children had 76 stickers left. How many stickers did Winnie and Dana have at first?

	Winnie	Dana	Kylie	Total
Before	2 p	8 u	3 u	128
Change	- 1 p	- 4 u		- 52
After	1 p	4 u	3 u	76

Number of stickers that Winnie and Dana gave away
= 128 - 76
= 52

1 p + 4 u = 52
1 p = 52 - 4 u --- (1)

1 p + 4 u + 3 u = 76
1 p + 7 u = 76
1 p = 76 - 7 u --- (2)

(1) = (2)
52 - 4 u = 76 - 7 u
7 u - 4 u = 76 - 52
3 u = 24

1 u = 24 ÷ 3 = 8

From (1)
1 p = 52 - 4 u
1 p = 52 - 4 x 8

1 p = 52 - 32 = 20

Number of stickers that Winnie and Dana had at first
= 2 p + 8 u
= 2 x 20 + 8 x 8
= 40 + 24
= 64

Answer(s): 64