Kylie, Xuan and Ivory had a total of 152 stickers. The ratio of Xuan's stickers to Ivory's stickers was at first 4 : 5. After Kylie and Xuan each gave half of their stickers away, the 3 children had 106 stickers left. How many stickers did Kylie and Xuan have at first?

	Kylie	Xuan	Ivory	Total
Before	2 p	4 u	5 u	152
Change	- 1 p	- 2 u		- 46
After	1 p	2 u	5 u	106

Number of stickers that Kylie and Xuan gave away
= 152 - 106
= 46

1 p + 2 u = 46
1 p = 46 - 2 u --- (1)

1 p + 2 u + 5 u = 106
1 p + 7 u = 106
1 p = 106 - 7 u --- (2)

(1) = (2)
46 - 2 u = 106 - 7 u
7 u - 2 u = 106 - 46
5 u = 60

1 u = 60 ÷ 5 = 12

From (1)
1 p = 46 - 2 u
1 p = 46 - 2 x 12

1 p = 46 - 24 = 22

Number of stickers that Kylie and Xuan had at first
= 2 p + 4 u
= 2 x 22 + 4 x 12
= 44 + 60
= 104

Answer(s): 104