Sabrina, Raeann and Betty had a total of 163 stickers. The ratio of Raeann's stickers to Betty's stickers was at first 12 : 5. After Sabrina and Raeann each gave half of their stickers away, the 3 children had 99 stickers left. How many stickers did Sabrina and Betty have at first?

	Sabrina	Raeann	Betty	Total
Before	2 p	12 u	5 u	163
Change	- 1 p	- 6 u		- 64
After	1 p	6 u	5 u	99

Number of stickers that Sabrina and Raeann gave away
= 163 - 99
= 64

1 p + 6 u = 64
1 p = 64 - 6 u --- (1)

1 p + 6 u + 5 u = 99 
1 p + 11 u = 99
1 p = 99 - 11 u --- (2)

(1) = (2) 
64 - 6 u = 99 - 11 u 
11 u - 6 u = 99 - 64
5 u = 35

1 u = 35 ÷ 5 = 7

From (1)
1 p = 64 - 6 u
1 p = 64 - 6 x 7

1 p = 64 - 42 = 22

Number of stickers that Sabrina and Betty had at first
= 2 p + 5 u
= 2 x 22 + 5 x 7
= 44 + 35
= 79

Answer(s): 79